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2006.270: Modular Lie representations of groups of prime order

2006.270: R. M. Bryant (2004) Modular Lie representations of groups of prime order. Mathematische Zeitschrift, 246 (3). pp. 603-617. ISSN 1432-1823

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DOI: 10.1007/s00209-003-0590-3

Abstract

Let K be a field of prime characteristic p and let G be a group of order p. For any finite-dimensional KG-module V and any positive integer n let L n (V) denote the nth homogeneous component of the free Lie K-algebra generated by (a basis of) V. Then L n (V) can be considered as a KG-module, called the nth Lie power of V. The main result of the paper is a formula which describes the module structure of L n (V) up to isomorphism.

Item Type:Article
Subjects:MSC 2000 > 17 Nonassociative rings and algebras
MSC 2000 > 20 Group theory and generalizations
MIMS number:2006.270
Deposited By:Miss Louise Stait
Deposited On:09 August 2006

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