On the irreducible representations of the alternating group which remain irreducible in characteristic 𝑝-Reference-Cited by-同舟云学术

On the irreducible representations of the alternating group which remain irreducible in characteristic 𝑝

Published:2010-09-01 Issue:16 Volume:14 Page:601-626
ISSN:1088-4165
Container-title:Representation Theory of the American Mathematical Society
language:en
Short-container-title:Represent. Theory

Author:

Fayers Matthew

Abstract

We consider the problem of which ordinary irreducible representations of the alternating group A n \mathfrak {A}_n remain irreducible modulo a prime p p . We solve this problem for p = 2 p=2 , and present a conjecture for odd p p , which we prove in one direction.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

Link

http://www.ams.org/ert/2010-14-16/S1088-4165-2010-00390-8/S1088-4165-2010-00390-8.pdf

Reference16 articles.

1. Spin modules for symmetric groups;Benson, Dave;J. London Math. Soc. (2),1988

2. Representation theory of symmetric groups and their double covers;Brundan, Jonathan,2003

3. Some canonical basis vectors in the basic 𝑈_{𝑞}(̂𝔰𝔩_{𝔫})-module;Chuang, Joseph;J. Algebra,2002

4. Reducible Specht modules;Fayers, Matthew;J. Algebra,2004

5. Irreducible Specht modules for Hecke algebras of type 𝐴;Fayers, Matthew;Adv. Math.,2005

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