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On Centralizer Algebras for Spin Representations

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Abstract

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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  1. Department of Mathematics, University of California, San Diego, La Jolla, CA, 92093, USA

    Hans Wenzl

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  1. Hans Wenzl
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Correspondence to Hans Wenzl.

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Communicated by Y. Kawahigashi

Supported in part by NSF grants.

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Wenzl, H. On Centralizer Algebras for Spin Representations. Commun. Math. Phys. 314, 243–263 (2012). https://doi.org/10.1007/s00220-012-1494-z

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  • DOI: https://doi.org/10.1007/s00220-012-1494-z

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