On Schur algebras, Ringel duality and symmetric groups
β Scribed by K. Erdmann; A. Henke
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 273 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we consider some conditions of finiteness related to the p-class field tower problem over an imaginary quadratic field, where p is an odd prime.
Let K be an infinite field of prime characteristic p and let d β€ r be positive integers of the same parity satisfying a certain congruence condition. We prove that the Schur algebra S 2 d is isomorphic to a subalgebra of the form eS 2 r e, where e is a certain idempotent of S 2 r . Translating this
The ring QSym of quasi-symmetric functions is naturally the dual of the Solomon descent algebra. The product and the two coproducts of the first (extending those of the symmetric functions) correspond to a coproduct and two products of the second, which are defined by restriction from the symmetric