Projective representations of symmetric groups via Sergeev duality
β Scribed by Jonathan Brundan; Alexander Kleshchev
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- French
- Weight
- 370 KB
- Volume
- 239
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a finite elementary abelian p-group. Given a 2-cocycle β£ of G over the field of complex numbers, we show how to construct an irreducible projective representation of G with 2-cocycle in the cohomology class of β£. Let S be a 2 ## Ε½ . subgroup of G of index dividing p . Then we also count
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