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The idempotents in cyclotomic Hecke algebras and periodic property of the Jucys-Murphy elements (1211.1754v1)
Published 8 Nov 2012 in math.RT
Abstract: This paper proves a periodic property of Jucys-Murphy elements of the degenerate and non-degenerate cy- clotomic Hecke algebras of type A. We do this by first giving a new closed formula for the KLR idempotents e(i) which, it tuns out, is very efficient computationally.
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