A Specht filtration of an induced Specht module

Details A Specht filtration of an induced Specht module A Specht filtration of an induced Specht module

2009-03-26

arxiv.org/abs/0903.4493v1

Mathematics

Representation Theory

Latex, 9 pages

Scientific paper

Let $\H_n$ be a (degenerate or non-degenerate) Hecke algebra of type
$G(\ell,1,n)$, defined over a commutative ring $R$ with one, and let $S(\bmu)$
be a Specht module for $\H_n$. This paper shows that the induced Specht module
$S(\bmu)\otimes_{\H_n}\H_{n+1}$ has an explicit Specht filtration.

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