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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