2011/07/31 by Hans Wenzl
Mathematics · #math.QA #msc:17B37
paper · pdf · doi:10.1007/s00220-012-1494-z
published as Comm.Math. Phys. 314 (2012) 243-263
arxiv created 2012/02/03 · arxiv updated 2012/08/14
We give a presentation of the centralizer algebras for tensor products of spinor representations of quantum groups via generators and relations. In the even-dimensional case, this can be described in terms of non-standard q-deformations of orthogonal Lie algebras; in the odd-dimensional case only a certain subalgebra will appear. In the classical case q = 1 the relations boil down to Lie algebra relations.