On centralizer algebras for spin representations

Details On centralizer algebras for spin representations On centralizer algebras for spin representations

2011-07-21

arxiv.org/abs/1107.4183v2

Mathematics

Quantum Algebra

Scientific paper

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.

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