Centres of Hecke algebras: The Dipper–James conjecture
نویسندگان
چکیده
منابع مشابه
Centres of Hecke Algebras: the Dipper-james Conjecture
In this paper we prove the Dipper–James conjecture that the centre of the Iwahori–Hecke algebra of type A is the set of symmetric polynomials in the Jucys–Murphy operators. © 2006 Elsevier Inc. All rights reserved.
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In this paper, and a second part to follow, we complete the programme (initiated more than 15 years ago) of determining the decomposition numbers and verifying James’ Conjecture for Iwahori–Hecke algebras of exceptional type. The new ingredients which allow us to achieve this aim are: • the fact, recently proved by the first author, that all Hecke algebras of finite type are cellular in the sen...
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We prove a conjecture by Dipper, James, and Murphy that a bipartition is restricted if and only if it is Kleshchev. Hence, the restricted bipartitions naturally label the crystal graphs of level 2 irreducible integrable Uv.bsle/-modules and the simple modules of Hecke algebras of type Bn in the non semisimple case.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2006
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2006.05.010