Séminaire Lotharingien de Combinatoire, 82B.71 (2019), 12 pp.
Nancy Wallace
Explicit combinatorial formulas for some irreducible characters of the GLk x Sn-module of multivariate diagonal harmonics
Abstract.
We give an explicit combinatorial formula for some irreducible components of GLk x Sn-modules of multivariate diagonal harmonics. To this end we introduce a new path combinatorial object Tn,s allowing us to give the formula directly in terms of Schur functions.
Received: November 15, 2018.
Accepted: February 17, 2019.
Final version: April 1, 2019.
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