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Samenvatting
We define for real q a unital ∗-algebra Uq(sl(2,R)) quantizing the universal enveloping ∗-algebra of sl(2,R). The ∗-algebra Uq(sl(2,R)) is realized as a ∗-subalgebra of the Drinfeld double of Uq(su(2)) and its dual Hopf ∗-algebra Oq(SU(2)), generated by the equatorial Podleś sphere coideal ∗-subalgebra Oq(K∖SU(2)) of Oq(SU(2)) and its associated orthogonal coideal ∗-subalgebra Uq(k)⊆Uq(su(2)). We then classify all the irreducible ∗-representations of Uq(sl(2,R))
Originele taal-2 | English |
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Pagina's (van-tot) | 443-470 |
Aantal pagina's | 28 |
Tijdschrift | Journal of Operator Theory |
Volume | 91 |
Nummer van het tijdschrift | 2 |
DOI's | |
Status | Published - 2024 |
Vingerafdruk
Duik in de onderzoeksthema's van 'Quantum SL(2,R) and its irreducible representations'. Samen vormen ze een unieke vingerafdruk.Projecten
- 1 Afgelopen
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FWOAL900: Kwantum symmetrische ruimtes, operator algebra's en quantum cluster algebra's
1/01/19 → 31/12/22
Project: Fundamenteel