A morita equivalence theorem for Hecke algebra ℋq(Dn) when n is even

Jun Hu

doi:10.1007/s002290200272

A morita equivalence theorem for Hecke algebra ℋ_q(D_n) when n is even

Jun Hu^*

^*Corresponding author for this work

School of Mathematics and Statistics

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

In this paper we prove a Morita equivalence theorem for Hecke algebras of type D_n when n is even, which generalize a similar result obtained by C. Pallikaros ([P, (3.7)]) when n is odd. As a consequence, we construct all the irreducible ℋ_q (D_n)-modules when f_n(q) ≠ 0 (see [P, (2.12)] for definition of f_n(q)) and show that ℋ_q(D_n) is split in this case.

Original language	English
Pages (from-to)	409-430
Number of pages	22
Journal	Manuscripta Mathematica
Volume	108
Issue number	4
DOIs	https://doi.org/10.1007/s002290200272
Publication status	Published - 2002

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abstract = "In this paper we prove a Morita equivalence theorem for Hecke algebras of type Dn when n is even, which generalize a similar result obtained by C. Pallikaros ([P, (3.7)]) when n is odd. As a consequence, we construct all the irreducible ℋq (Dn)-modules when fn(q) ≠ 0 (see [P, (2.12)] for definition of fn(q)) and show that ℋq(Dn) is split in this case.",

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AB - In this paper we prove a Morita equivalence theorem for Hecke algebras of type Dn when n is even, which generalize a similar result obtained by C. Pallikaros ([P, (3.7)]) when n is odd. As a consequence, we construct all the irreducible ℋq (Dn)-modules when fn(q) ≠ 0 (see [P, (2.12)] for definition of fn(q)) and show that ℋq(Dn) is split in this case.

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A morita equivalence theorem for Hecke algebra ℋ_q(D_n) when n is even

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