Brauer algebras of Type $C$ are Cellularly Stratified Algebras

Details Brauer algebras of Type $C$ are Cellularly Stratified Algebras Brauer algebras of Type $C$ are Cellularly Stratified Algebras

2011-02-02

arxiv.org/abs/1102.0438v1

Mathematics

Representation Theory

Scientific paper

In a recent paper Cohen, Liu and Yu introduce the Type $C$ Brauer algebra. We
show that this algebra is an iterated inflation of hyperoctahedral groups, and
that it is cellularly stratified. This gives an indexing set of the standard
modules, results on decomposition numbers, and the conditions under which the
algebra is quasi-hereditary.

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