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22 papers · 1 filter
A Littlewood-Richardson Type Rule for Row-Strict Quasisymmetric Schur Functions
Jeffrey Ferreira
We give a Littlewood-Richardson type rule for expanding the product of a row-strict quasisymmetric Schur function and a symmetric Schur function in terms of row-strict quasisymmetr…
Centrally symmetric manifolds with few vertices
Steven Klee, Isabella Novik
A centrally symmetric -vertex combinatorial triangulation of the product of spheres is constructed for all pairs of non-negative integers and with…
Deformations of permutation representations of Coxeter groups
Eric M. Rains, Monica J. Vazirani
The permutation representation afforded by a Coxeter group W acting on the cosets of a standard parabolic subgroup inherits many nice properties from W such as a shellable Bruhat o…
Equality of symmetrized tensors and the coordinate ring of the flag variety
Andrew Berget
In this note we give a transparent proof of a result of da Cruz and Dias da Silva on the equality of symmetrized decomposable tensors. This will be done by explaining that their re…
The Murnaghan-Nakayama rule for k-Schur functions
Jason Bandlow, Anne Schilling, Mike Zabrocki
We prove the Murgnaghan--Nakayama rule for -Schur functions of Lapointe and Morse, that is, we give an explicit formula for the expansion of the product of a power sum symmetric…
Higher integrality conditions, volumes and Ehrhart polynomials
Fu Liu
A polytope is integral if all of its vertices are lattice points. The constant term of the Ehrhart polynomial of an integral polytope is known to be 1. In previous work, we showed…