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Jordan algebras and generalized principal series representations

✍ Scribed by Genkai Zhang


Publisher
Springer
Year
1995
Tongue
English
Weight
576 KB
Volume
302
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES


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✍ Roger Howe; Soo Teck Lee πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 499 KB

Let F be the field C or R. For 1 k [nΓ‚2], 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

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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