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arXiv:1005.2346 [math.RT]AbstractReferencesReviewsResources

Class expansion of some symmetric functions in Jucys-Murphy elements

Michel Lassalle

Published 2010-05-13, updated 2013-07-29Version 2

We present a method to compute the class expansion of a symmetric function in the Jucys-Murphy elements of the symmetric group. We apply this method to one-row Hall-Littlewood symmetric functions, which interpolate between power sums and complete symmetric functions.

Comments: 53 pages, LaTeX, to appear in Journal of Algebra
Journal: Journal of Algebra, 394 (2013), 397-443
Categories: math.RT, math.CO
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