Brauer algebras of type C

Details Brauer algebras of type C Brauer algebras of type C

2011-01-18

arxiv.org/abs/1101.3416v1

Mathematics

Representation Theory

Scientific paper

For each natural number n greater than 1, we define an algebra satisfying
many properties that one might expect to hold for a Brauer algebra of type Cn.
The monomials of this algebra correspond to scalar multiples of symmetric
Brauer diagrams on 2n strands. The algebra is shown to be free of rank the
number of such diagrams and cellular, in the sense of Graham and Lehrer.

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