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Quantized Flag Manifolds and Irreducible *-Representations

✍ Scribed by Jasper V. Stokman; Mathijs S. Dijkhuizen


Publisher
Springer
Year
1999
Tongue
English
Weight
209 KB
Volume
203
Category
Article
ISSN
0010-3616

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✍ Oh Kang Kwon πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 227 KB

Quantized enveloping algebras U α’„ and their representations provide natural settings for the action of the corresponding braid groups. Objects of particular Ε½ . interest are the zero weight spaces of U α’„ -modules since they are stable under the Ε½ . braid group action. We show that for α’„ s ᒐ α’‰ there

Weil Representations as Globally Irreduc
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## Abstract The notion of globally irreducible representations of finite groups was introduced by B.H. Gross, in order to explain new series of Euclidean lattices discovered recently by N. Elkies and T. Shioda using Mordell–Weil lattices of elliptic curves. It has been observed by R. Gow and Gross