On simple modules of Hecke algebras of type Dn |
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Authors: | Hu Jun and Wang Jianpan |
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Institution: | 1. Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China 2. Department of Mathematics, East China Normal University, Shanghai 200062, China |
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Abstract: | This is a continuation of our previous work. We classify all the simple ℋq(D
n
)-modules via an automorphismh defined on the set { λ | Dλ ≠ 0}. Whenf
n(q) ≠ 0, this yields a classification of all the simple ℋ
q
(D
n)- modules for arbitrary n. In general ( i. e., q arbitrary), if λ(1) = λ(2),wegivea necessary and sufficient condition ( in terms of some polynomials ) to ensure that the irreducible ℋq,1(B
n
)- module Dλ remains irreducible on restriction to ℋq(D
n
). |
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Keywords: | Hecke algebras Specht modules Bipartitions |
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