The non-projective part of the Lie module for the symmetric group
โ Scribed by Karin Erdmann; Kai Meng Tan
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 160 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Contents 0. Introduction. 1. Irreducible Representations of the Group D n . 2. Shifted Tableaux and the Weak Order on the Group S n . 3. Degenerate Affine Sergeev Algebra. 4. The Elements ? / (8 w4 )(1). 5. Fusion Procedure. 6. Two Properties of the Element 4 c( r). 7. Representation V \* of the Alg
Let E denote the natural module for the general linear group GL k n over an infinite field k of non-zero characteristic p. We consider here modules which are direct summands of the dth tensor power E md . The original motivation was to study the free Lie algebra. Let L be the d homogeneous component
2แ22 the number of simple kS -modules equals the number of weights for S , n n where S is the symmetric group on n symbols and k is a field of characteristic n p ) 0. In this paper we answer the question, ''When is the Brauer quotient of a simple F S -module V with respect to a subgroup H of S both