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

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China; and, Morningside center of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China. e-mail: junhu303@yahoo.com.cn, , , , , , CN

    Jun Hu

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  1. Jun Hu
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Received: 19 February 2001 / Revised version: 26 January 2002

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Hu, J. A Morita equivalence theorem for Hecke algebra ℋq(Dn) when n is even. Manuscripta Math. 108, 409–430 (2002). https://doi.org/10.1007/s002290200272

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  • DOI: https://doi.org/10.1007/s002290200272

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