TY - JOUR
T1 - A right-invariant lattice-order on groups of paraunitary matrices
AU - Dietzel, C.
PY - 2019/4
Y1 - 2019/4
N2 - In [14], Rump defined and characterized noncommutative universal groups G(X) for generalized orthomodular lattices X. We give an explicit description of G(X) in terms of paraunitary matrix groups, whenever X is the orthomodular lattice of subspaces of a finite-dimensional k-vector space V that is equipped with an anisotropic, symmetric k-bilinear form.
AB - In [14], Rump defined and characterized noncommutative universal groups G(X) for generalized orthomodular lattices X. We give an explicit description of G(X) in terms of paraunitary matrix groups, whenever X is the orthomodular lattice of subspaces of a finite-dimensional k-vector space V that is equipped with an anisotropic, symmetric k-bilinear form.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-85060891783&partnerID=MN8TOARS
U2 - 10.1016/j.jalgebra.2019.01.013
DO - 10.1016/j.jalgebra.2019.01.013
M3 - Article
SN - 0021-8693
VL - 524
SP - 226
EP - 249
JO - Journal of Algebra
JF - Journal of Algebra
ER -