DEDICATED TO GERHARD O. MICHLER ON THE OCCASION OF HIS 60TH BIRTHDAY Based on Kleshchev's branching theorems for the p-modular irreducible representations of the symmetric group and on the recent proof of the Mullineux Conjecture, we investigate in this article the corresponding branching problem fo
Branching Rules for Modular Representations of Symmetric Groups, IV
β Scribed by Alexander Kleshchev
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 290 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let V be a representation of a finite group G over a field of characteristic p. If p does not divide the group order, then Molien's formula gives the Hilbert series of the invariant ring. In this paper we find a replacement of Molien's formula which works in the case that G is divisible by p but not
This paper is the first in a series of three papers on the Young symmetrizers for the spin representations of the symmetric group. In this opening paper, it is shown that the projective analogue of the Young symmetrizer recently introduced by Nazarov has a structure resembling the p Ξ» q Ξ» -form exhi
The first paper in this series established that the projective analogue of the Young symmetrizer recently introduced by Nazarov has a natural PxQ-structure comparable with the pq-form of the classical symmetrizer. This second paper develops the theory on this decomposition further. A more efficient