Centres of Hecke Algebras: the Dipper-james Conjecture
نویسندگان
چکیده
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.
منابع مشابه
Dipper–James–Murphy’s Conjecture for Hecke Algebras of Type Bn
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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