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On the Associated Cycles of Discrete Series Representations

✍ Scribed by Mladen Božičević

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
254 KB
Volume
208
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let G, K be a classical symmetric pair defined by the involution on G. Let Ž . ᒄ, ᒈ be the corresponding Lie algebras. Given a -stable Borel subalgebra ᑿ we Ž H H . Ž . determine a dense K-orbit in K ᑿ lᒈ . In the case when G, K is of type AIII ؒ or BDI, we use this information to compute the harmonic polynomial determined by the associated cycle of a large discrete series representation.

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