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Block components of the Lie module for the symmetric group

Abstract:

Let F be a field of prime characteristic p and let B be a nonprincipal block of the group algebra F S r of the symmetric group S r. The block component Lie(r) B of the Lie module Lie(r) is projective, by a result of Erdmann and Tan, although Lie(r) itself is projective only when p {does not divide} r. Write r = p m k, where p {does not divide} k, and let S z.ast;k be th...

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Publication status:
Published

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Publisher copy:
10.2140/ant.2012.6.781

Authors


Bryant, RM More by this author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
ALGEBRA and NUMBER THEORY
Volume:
6
Issue:
4
Pages:
781-795
Publication date:
2012
DOI:
EISSN:
1944-7833
ISSN:
1937-0652
URN:
uuid:cc4d999c-165b-4c5f-a03b-5dc9c29a2c6d
Source identifiers:
350739
Local pid:
pubs:350739

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