Jordan algebras and generalized principal series representations
β Scribed by Genkai Zhang
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 576 KB
- Volume
- 302
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Let F be the field C or R. For 1 k [nΓ2], let P k be the maximal parabolic subgroup of GL n (F) with its Levi factor isomorphic to GL n&k (F)\_GL k (F ). In this paper, we explicitly calculate the action of the enveloping algebra of gl n (F) on the degenerate principal series representations induced
Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra Ε½ . over F, and P L the primitive p-envelope of L. A close relation between Ε½ . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L\* coincide with