Irreducible Characters of General Linear Superalgebra and Super Duality
โ Scribed by Shun-Jen Cheng; Ngau Lam
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 387 KB
- Volume
- 298
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The Fock space of m + p bosonic and n + q fermionic quantum oscillators forms a unitarizable module of the general linear superalgebra gl m+p| n+q . Its tensor powers decompose into direct sums of infinite-dimensional irreducible highest-weight gl m+p| n+q -modules. We obtain an explicit decompositi
The structure of the Hopf superalgebra B of regular functions on the general linear supergroup is developed, and applied to study the representation theory of the supergroup. It is shown that the general linear supergroup can be reconstructed from B in a way reminiscent of the Tannaka-Krein theory.