Strong multiplicity one theorems for affine Hecke algebras of type A

Transformation Groups

Volumn 6, Issue 2, 2001, Pages 143-155

  Grojnowsk, I ^a   Vazirani, M ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035536029     PISSN: 10834362     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01597133     Document Type: Article

References (10)

1. n and construction of its irreducible representations, Adv. Math. 106 (1994), no. 2, 216-243.
2. I. N. Bernstein, A. V. Zelevinsky, Induced representations of reductive p-adic groups, I. Ann. Sci. École Norm. Sup. (4) 10 (1977), no. 4. 441-472.
3. J. Brundan, Modular branching rules and the Mullineux map for Hecke algebras of type A, Proc. Lond. Math. Soc. 77 (1998), 551-581.
4. I. V. Cherednik, A new interpretation of Gel'fand-Tzetlin bases, Duke Math. J. 54 (1987), no. 2, 563-577.
5. B. Γ. HpnH(t>ejiL.fl. BbipostedeHHbie affunnue ajizeôpu u srmuanu, Φo;êVHKI;. anaji. H ero npHJi. 20 (1986), no. 1, 69-70. Engl. transl.: V. G. Drinfel'd, Degenerate affine Hecke algebras and Yangians, Funct. Anal. Appl. 20 (1986), 62-64.
6. p controls the representation theory of the symmetric group and related Hecke algebras, preprint (1999), math. RT/9907129.
7. S.-i. Kato, Irreducibility of principal series representations for Hecke algebras of affine type, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981), no. 3, 929-943.
8. A. S. Kleshchev, Branching rules for modular representations of symmetric groups. II. J. reine angew. Math. 459 (1995), 163-212.
9. G. Lusztig, Affine Hecke algebras and their graded version, J. Amer. Math. Soc. 2 (1989), no. 3, 599-635.
10. ~vazi.rani.