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Discrete components of some complementary series representations

✍ Scribed by B. Speh; T. N. Venkataramana


Book ID
107690506
Publisher
Indian National Science Academy
Year
2010
Tongue
English
Weight
95 KB
Volume
41
Category
Article
ISSN
0019-5588

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Let G, K be a classical symmetric pair defined by the involution on G. Let Ε½ . α’„, α’ˆ be the corresponding Lie algebras. Given a -stable Borel subalgebra α‘Ώ we Ε½ H H . Ε½ . determine a dense K-orbit in K α‘Ώ lα’ˆ . In the case when G, K is of type AIII Ψ’ or BDI, we use this information to compute the harmon