A Specht filtration of an induced Specht module

Andrew Mathas

A Specht filtration of an induced Specht module

Representation Theory 2013-08-13 v2 Combinatorics Quantum Algebra Rings and Algebras

Authors: Andrew Mathas

Abstract

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.

Keywords

hecke algebra module theory

Cite

@article{arxiv.0903.4493,
  title  = {A Specht filtration of an induced Specht module},
  author = {Andrew Mathas},
  journal= {arXiv preprint arXiv:0903.4493},
  year   = {2013}
}

Comments

Fixes a gap in the proof of Theorem 3.6 pointed out by Fred Goodman

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