## 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

Full text available as:

PDF - Archive staff only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 182 Kb |

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 |

Download Statistics: last 4 weeks

Repository Staff Only: edit this item