Topologische Algebra, Functionele Analyse and Categorietheory

Onderzoeksoutput

Onderzoeksoutput per jaar 2015 2015 2016 2017 2018 2019 2020 2024 2025

• 191 Citaties
• 9 h-index
• 42 Article
• 5 PhD Thesis
• 1 Meeting abstract (Book)
• 1 Scientific review
• 1 Meer
  • 1 Voordruk

Onderzoeksoutput per jaar

Onderzoeksoutput per jaar

Zoekresultaten

• 2025

  Representation theory of the reflection equation algebra II: Theory of shapes

  De Commer, K. & Moore, S., 15 feb. 2025, In: Journal of Algebra. 664, B, blz. 261-288 28 blz.

  Onderzoeksoutput: Article › peer review

  Open Access
• 2024

  Approximation properties of dynamical W*-correspondences

  De Commer, K. & De Ro, J. L., dec. 2024, In: Advances in Mathematics. 458, Part A, 74 blz., 109958.

  Onderzoeksoutput: Article › peer review

  Open Access

  Bestand
  2 Citaten (Scopus)

  18 Downloads (Pure)

• Braided tensor product of von Neumann algebras

  De Commer, K. & Krajczok, J., 2024, (Submitted).

  Onderzoeksoutput: Voordruk

• Generalized spectra and applications to finite distributive lattices

  Sioen, M., Van Den Haute, W. & Lowen, W., 2024, In: Journal of Pure and Applied Algebra. 6, 8 blz., 107588.

  Onderzoeksoutput: Article › peer review

  • Distributive Lattice 100%
  • Topological space 52%
  • Adjunction 36%
  • Boolean algebra 31%
  • Idempotent 27%

• Invariant integrals on coideals and their Drinfeld doubles

  De Commer, K. & Dzokou Talla, J. R., 1 jul. 2024, In: International Mathematics Research Notices. 2024, 14, blz. 10650-10677 28 blz., rnae094.

  Onderzoeksoutput: Article › peer review

  Open Access

  Bestand

  • Hopf Algebra 100%
  • Invariant 93%
  • Unital 33%
  • Representation Theory 32%
  • Subalgebra 28%
  2 Citaten (Scopus)

• Projective representation theory for compact quantum groups and the quantum Baum–Connes assembly map

  De Commer, K., Nest, R. & Martos, R., 22 nov. 2024, In: Journal of Noncommutative Geometry. 54 blz.

  Onderzoeksoutput: Article › peer review

  Open Access

  Bestand

• Quantization of semisimple real Lie groups

  De Commer, K., 2024, In: Archivum Mathematicum. 60, 5, blz. 285-310 26 blz.

  Onderzoeksoutput: Article › peer review

  Open Access
  1 Citaat (Scopus)

• Quantum SL(2,R) and its irreducible representations

  De Commer, K. & Dzokou Talla, J. R., 2024, In: Journal of Operator Theory. 91, 2, blz. 443-470 28 blz.

  Onderzoeksoutput: Article › peer review

  Open Access

  • Irreducible Representation 100%
  • Subalgebra 90%
  • Universal Enveloping Algebra 42%
  • Algebra 39%
  • Hopf Algebra 34%
  3 Citaten (Scopus)
• 2023

  Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coideals

  De Commer, K., Yamashita, M., Neshveyev, S. & Tuset, L., 2 mei 2023, In: Forum of Mathematics: Pi. 11, 14, blz. 1-79 79 blz., e14.

  Onderzoeksoutput: Article › peer review

  Open Access

  Bestand

  • Coaction 100%
  • Cyclotomic 82%
  • Symmetric Spaces 74%
  • Quantization 70%
  • equivalence 68%
  2 Citaten (Scopus)

  56 Downloads (Pure)

• Partial ⁎-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups

  De Commer, K. & Konings, J., nov. 2023, In: Journal of Algebra. 634, blz. 345-403 59 blz.

  Onderzoeksoutput: Article › peer review

  Open Access

  Bestand

  • Compact Quantum Group 100%
  • Quantum Groups 78%
  • Algebraic Groups 77%
  • Partial 50%
  • Hopf Algebra 18%
  2 Citaten (Scopus)

  14 Downloads (Pure)

• Supported approach spaces

  Colebunders, E. & Lowen, R., 2023, In: Quaestiones Mathematicae. 46, S1, blz. 161-190 30 blz.

  Onderzoeksoutput: Article › peer review
• 2022

  An isomorphism of the Wallman and Čech-Stone compactifications

  Sioen, M., Colebunders, E. & Lowen, R., 4 mei 2022, In: Quaestiones Mathematicae. 45, 5, blz. 733-763 31 blz.

  Onderzoeksoutput: Article › peer review

  • Compactification 100%
  • Isomorphism 79%
  • Approach Space 53%
  • Metrizable 27%
  • Isomorphic 26%
  1 Citaat (Scopus)

• Sequences and related closure and compactness properties in frames

  Sioen, M., Holgate, D. & Masuret, J., 15 mrt. 2022, In: Topology and its Applications. 309, 12 blz., 107912.

  Onderzoeksoutput: Article › peer review

  • Closure Properties 100%
  • Compactness 73%
  • Countable Compactness 66%
  • Closure 34%
  • Topology 30%
• 2021

  Frame theoretic methods in topology and analysis

  Van Den Haute, W., 2021

  Onderzoeksoutput: PhD Thesis

  • Topology 100%

• Quantum SL(2,R)

  De Commer, K., 2021, Oberwolfach report no. 44/2021: Quantum Groups – Algebra, Analysis and Category Theory. European Mathematical Society Publishing House, blz. 10-12 3 blz. (Oberwolfach reports).

  Onderzoeksoutput: Meeting abstract (Book)

  Open Access

  • Quantization 100%

• The Banaschewski compactification is of Wallman-Shanin type

  Sioen, M. & Colebunders, E., 3 jul. 2021, In: Quaestiones Mathematicae. 44, 7, blz. 905-921 17 blz.

  Onderzoeksoutput: Article › peer review

  • Compactification 100%
  • Figure 93%
  • Approach Space 25%
  • Zero-dimensional Space 13%
  • Isomorphic 13%
  1 Citaat (Scopus)
• 2020

  A continuous field and Cauchy-Binet formulas for quantum GL(N,ℂ)

  Flore, M., 2020

  Onderzoeksoutput: PhD Thesis

  • Cauchy 100%

• Frames of continuous functions

  Van Den Haute, W., Sioen, M. & Lowen, W., 15 mrt. 2020, In: Topology and its Applications. 273, 106974.

  Onderzoeksoutput: Article › peer review

  • Continuous Function 100%
  • Topological space 68%
  • Locale 35%
  • Lower Semicontinuous 29%
  • Topology 18%
  1 Citaat (Scopus)

• Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices

  De Commer, K. & Matassa, M., 3 jun. 2020, In: Advances in Mathematics. 366, blz. 1-100 100 blz., 107029.

  Onderzoeksoutput: Article › peer review

  Open Access

  Bestand

  • Function Algebra 100%
  • Flag Manifold 98%
  • Symmetric Spaces 81%
  • Subalgebra 67%
  • Quantized Enveloping Algebra 53%
  8 Citaten (Scopus)

  51 Downloads (Pure)

• Unsymmetric T_0-quasi-metrics

  Sioen, M., Künzi, H-P. & Yildiz, F., 1 jul. 2020, In: Topology and its Applications. 279, 13 blz., 107249.

  Onderzoeksoutput: Article › peer review

  Open Access

  • Quasi-metric 100%
  • Topological space 21%
  • Bicompletion 20%
  • Bitopological Space 16%
  • Triangle inequality 14%
• 2019

  A characterisation of Lie algebras via algebraic exponentiation

  García-Martínez, X. & Van der Linden, T., 2019, In: Advances in Mathematics. 341, blz. 92-117 26 blz.

  Onderzoeksoutput: Article › peer review

  Open Access

  • Cartesian Closed Category 100%
  • Exponentiation 92%
  • Lie Algebra 57%
  • Algebra 40%
  • Characterization 38%
  15 Citaten (Scopus)

• A Correspondence Between Homogeneous and Galois Coactions of Hopf Algebras

  De Commer, K. & Konings, J., 1 mei 2019, In: Algebras and Representation Theory. 23, 4, blz. 1387-1416 30 blz.

  Onderzoeksoutput: Article › peer review

  • Coaction 100%
  • Comodule 77%
  • Galois 76%
  • Hopf Algebra 72%
  • Correspondence 58%

• Actions of skew braces and set-theoretic solutions of the reflection equation

  De Commer, K., 2019, In: Proceedings of the Edinburgh Mathematical Society. 62, 4, blz. 1089-1113 25 blz.

  Onderzoeksoutput: Article › peer review

  • Braces 100%
  • Skew 68%
  • Yang-Baxter Equation 22%
  16 Citaten (Scopus)

• Een studie van topologische eigenschappen in approach theorie met behulp van monoidale topologie

  Van Opdenbosch, K., 2019

  Onderzoeksoutput: PhD Thesis

  • Theorie 100%

• The Banaschewski compactification revisited

  Sioen, M. & Colebunders, E., dec. 2019, In: Journal of Pure and Applied Algebra. 223, 12, blz. 5185-5214 29 blz.

  Onderzoeksoutput: Article › peer review

  • Compactification 100%
  • Zero-dimensional Space 87%
  • Approach Space 85%
  • Topological space 70%
  • Ultrametric Space 55%
  4 Citaten (Scopus)

• The field of quantum GL(N,C) in the C*-algebraic setting

  De Commer, K. & Flore, M., mrt. 2019, In: Selecta Mathematica-New Series. 25, 1, 3.

  Onderzoeksoutput: Article › peer review

  • algebra 100%
  • Algebra 59%
  • Filtration 34%
  • C*-algebra 32%
  • Central Element 23%
  1 Citaat (Scopus)

• Torsion-freeness for fusion rings and tensor C*-categories

  De Commer, K. & Arano, Y., 2019, In: Journal of Noncommutative Geometry. 13, 1, blz. 35-58 24 blz., 2.

  Onderzoeksoutput: Article › peer review

  • Fusion 100%
  • Quantum Groups 96%
  • torsion 89%
  • Discrete Group 85%
  • Torsion 82%
  11 Citaten (Scopus)
• 2018

  A Relative Monotone-Light Factorization System for Internal Groupoids

  Everaert, T., Gran, M. & Cigoli, A., 2018, In: Applied Categorical Structures. 26, blz. 931–942

  Onderzoeksoutput: Article › peer review

  1 Citaat (Scopus)

• I-factorial quantum torsors and Heisenberg algebras of quantized universal enveloping type

  De Commer, K., 1 jan. 2018, In: Journal of Functional Analysis. 274, 1, blz. 152-221 70 blz.

  Onderzoeksoutput: Article › peer review

  • Torsor 100%
  • Heisenberg Algebra 93%
  • Factorial 78%
  • Compact Quantum Group 38%
  • Crossed Product 32%

• Normality, Regularity and Contractive Realvalued Maps

  Van Den Haute, W., Sioen, M. & Colebunders, E., 21 jun. 2018, In: Applied Categorical Structures. 26, 5, blz. 909-930 22 blz.

  Onderzoeksoutput: Article › peer review

  • Normality 100%
  • Application programs 97%
  • Approach Space 95%
  • Regularity 75%
  • Algebra 37%
  3 Citaten (Scopus)

• Normality in terms of distances and contractions

  Sioen, M., Van Den Haute, W. & Colebunders, E., 1 mei 2018, In: Journal of Mathematical Analysis and Applications. 461, 1, blz. 74-96 23 blz.

  Onderzoeksoutput: Article › peer review

  • Normality 100%
  • Contraction 91%
  • Continuous Map 84%
  • Extension Theorem 62%
  • Insertion 60%
  7 Citaten (Scopus)

• Quantum actions on discrete quantum spaces and a generalization of Clifford’s theory of representations

  De Commer, K., jun. 2018, In: Israel Journal of Mathematics. 226, 1, blz. 475-503 29 blz.

  Onderzoeksoutput: Article › peer review

  • Compact Quantum Group 100%
  • Equivalence relation 74%
  • Orbit 57%
  • Generalization 57%
  • Discrete Group 40%
  12 Citaten (Scopus)
• 2017

  Actions of compact quantum groups

  De Commer, K., 2017, In: Banach Center Publications. 111, blz. 33-100 67 blz.

  Onderzoeksoutput: Scientific review › peer review

  • Compact Quantum Group 100%
  • Free Action 32%
  • Quantum Groups 26%
  • C*-algebra 23%
  • Torsor 17%
  13 Citaten (Scopus)

• A holistic perspective on student-athletes' dual career demands, competencies and outcomes

  De Brandt, K., 2017, Brussels: VUB Press.

  Onderzoeksoutput: PhD Thesis

  • athlete 100%
  • career 71%
  • student 27%
  • possession 20%
  • elite 15%

• An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric

  Berckmoes, B., Hellemans, T., Sioen, M. & Van Casteren, J., 15 mei 2017, In: Journal of Mathematical Analysis and Applications. 449, 2, blz. 1770-1789 20 blz.

  Onderzoeksoutput: Article › peer review

  Open Access

  • Hausdorff Measure of Noncompactness 100%
  • Wasserstein Metric 96%
  • Metric space 37%
  • Theorem 27%
  • Integrability 20%
  3 Citaten (Scopus)

• Free Actions of Compact Quantum Groups on Unital C*-Algebras

  De Commer, K., Hajac, P. . M. & Baum, P., 2017, In: Documenta Mathematica. 22, blz. 825–849 24 blz., 23.

  Onderzoeksoutput: Article › peer review

  • Compact Quantum Group 100%
  • Free Action 96%
  • Unital 74%
  • C*-algebra 69%
  • Isomorphism 25%
  18 Citaten (Scopus)

• Topological properties of non-Archimedean approach spaces

  Van Opdenbosch, K. & Colebunders, E., 13 nov. 2017, In: Theory and Applications of Categories. 32, 41, blz. 1454-1484 31 blz.

  Onderzoeksoutput: Article › peer review

  • Approach Space 100%
  • Topological Properties 70%
  • Topology 33%
  • Quantale 32%
  • Ultrafilter 28%
  6 Citaten (Scopus)

• Veralgemeende rijen en compactheidseigenschappen in puntvrije topologie

  Masuret, J., 2017

  Onderzoeksoutput: PhD Thesis
• 2016

  A field of quantum upper triangular matrices

  De Commer, K. & Flore, M., 27 jul. 2016, In: International Mathematics Research Notices. 2017, 16, blz. 5047-5077 30 blz.

  Onderzoeksoutput: Article › peer review

  • Upper triangular matrix 100%
  • Triangular 36%
  • Converge 26%
  • Operator 19%

• An Alternative Description of Approach Spaces Via Approach Cores

  Sioen, M. & Van den Haute, W., 1 okt. 2016, In: Applied Categorical Structures. 24, 5, SI, blz. 545-558 14 blz.

  Onderzoeksoutput: Article › peer review

  • Approach Space 100%
  • Application programs 63%
  • Alternatives 43%
  • Isomorphic 25%
  • Subset 19%
  9 Citaten (Scopus)

• C*-algebraic partial compact quantum groups

  De Commer, K., 2016, In: J. Funct. Anal.. 270, blz. 3962-3995 33 blz.

  Onderzoeksoutput: Article › peer review

  • Compact Quantum Group 100%
  • Partial 50%
  • Object 34%
  • Algebraic Theory 29%
  • Groupoid 26%
  2 Citaten (Scopus)

• Kleisli monoids describing approach spaces

  Colebunders, E. & Van Opdenbosch, K., 2016, In: Applied Categorical Structures. 24, 5, blz. 521-544 24 blz.

  Onderzoeksoutput: Article › peer review

  • Approach Space 100%
  • Monoid 65%
  • Application programs 63%
  • Axiom 45%
  • Monads 41%
  4 Citaten (Scopus)

• On the Dini and Stone-Weierstrass topologies in pointfree topology

  Sioen, M., Holgate, D. & Masuret, J., 2016, In: Topology and its Applications. 200, blz. 160-175 16 blz.

  Onderzoeksoutput: Article › peer review
  2 Citaten (Scopus)

• Regularity for relational algebras and approach spaces

  Colebunders, E., Lowen, R. & Van Opdenbosch, K., 2016, In: Topology and its Applications. 200, 22 blz.

  Onderzoeksoutput: Article › peer review

  • Approach Space 100%
  • Relational Algebra 98%
  • Monads 66%
  • Regularity 49%
  • Filter 25%
  3 Citaten (Scopus)
• 2015

  Convergence Approach Spaces: Actions

  Colebunders, E., Boustique, H., Mikusinski, P. & Richardson, G., 2015, In: Applied Categorical Structures. 17 blz.

  Onderzoeksoutput: Article › peer review

  • Approach Space 100%
  • Invariance 74%
  • Idempotent 32%
  • Function Space 31%
  5 Citaten (Scopus)

• Partial compact quantum groups

  De Commer, K. & Timmermann, T., 2015, In: Journal of Algebra. 438, blz. 283–324 42 blz.

  Onderzoeksoutput: Article › peer review
  10 Citaten (Scopus)

• Poisson-Lie groupoids and the contraction procedure

  De Commer, K., 2015, In: Banach Center Publ.. 106, blz. 35-46 11 blz.

  Onderzoeksoutput: Article › peer review

  • Groupoid 100%
  • Contraction 81%
  • Siméon Denis Poisson 77%
  • Lie Algebra 75%
  • Bialgebra 19%

• Protoadditive functors, derived torsion theories and homology

  Everaert, T. & Gran, M., 2015, In: Journal of Pure and Applied Algebra. 219, 8, blz. 3629-3676 48 blz.

  Onderzoeksoutput: Article › peer review

  20 Citaten (Scopus)

• Quantum flag manifolds as quotients of degenerate quantized universal enveloping algebras

  De Commer, K. & Neshveyev, S., 2015, In: Transform. Groups. 20, 3, blz. 725-742 17 blz.

  Onderzoeksoutput: Article › peer review

  • Flag Manifold 100%
  • Universal Enveloping Algebra 96%
  • Homomorphism 67%
  • Quotient 61%
  • Defining Relations 52%
  3 Citaten (Scopus)

• Some aspects of semi-abelian homology and protoadditive functors

  Everaert, T. & Gran, M., 2015, In: Journal of Generalized Lie Theory and Applications. 9, 2, blz. 1-3 3 blz.

  Onderzoeksoutput: Article › peer review