Spherical functions and aq-analogue of Kostant's weight multiplicity formula

Author:

Kato Shin-ichi

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference10 articles.

1. Casselman, W.: The unramified principal series ofp-adic reductive groups. I. The spherical function. Compositio Math.40, 387?406 (1981)

2. Iwahori, N., Matsumoto, H.: On some Bruhat decomposition and the structure of the Hecke ring ofp-adic Chevalley groups. Publ. Math. I.H.E.S.25, 5?48 (1965)

3. Kato, S.: Irreducibility of principal series representations for Hecke algebras of affine type. J. Fac. Sci. Univ. Tokyo28 (1982) (in press)

4. Kazhdan, D., Lusztig, G.: Representations of Coxeter groups and Hecke algebras. Invent. Math.53, 165?184 (1979)

5. Lusztig, G.: Green polynontials and singularities of unipotent classes. Adv. in Math.42, 169?178 (1981)

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