19 citations · 37 across the 5 of their papers we have counts for
5 papers
Combinatorial expansions in K-theoretic bases
Jason Bandlow, Jennifer Morse
We study the class of symmetric functions whose coefficients in the Schur basis can be described by generating functions for sets of tableaux with fixed shape. Include…
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…
On the uniqueness of promotion operators on tensor products of type A crystals
Jason Bandlow, Anne Schilling, Nicolas M. Thiery
The affine Dynkin diagram of type has a cyclic symmetry. The analogue of this Dynkin diagram automorphism on the level of crystals is called a promotion operator. In th…
A new characterization for the m-quasiinvariants of S_n and explicit basis for two row hook shapes
Jason Bandlow, Gregg Musiker
In 2002, Feigin and Veselov defined the space of m-quasiinvariants for any Coxeter group, building on earlier work of Chalykh and Veselov. While many properties of those spaces wer…
Quasiinvariants of
Jason Bandlow, Gregg Musiker
Let represent a tranposition in . A polynomial in is said to be -quasiinvariant with respect to if divides $(1-s_{ij…