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Products of Closed k-Schur Katalan Functions

Following applications of Catalan functions to resolve conjectures about k-Schur functions, which are Schubert homology representatives of the affine Grassmannian, the K-theoretic Catalan functions (or Katalan functions) have offered a rich combinatorial structure with connections to the K-homology K∗(Gr), Hopf isomorphic to Λ(k).
openaire   +1 more source

Free fermions and Schur expansions of multi-Schur functions

Journal of Combinatorial Theory - Series A, 2023
Shinsuke Iwao
exaly  

Some characterizations of functions generating \(K\)-Schur concave sums and of \(K\)-concave set-valued functions

1995
Let \(D\) be an open convex subset of \(\mathbb{R}^n\), \(Y\) a Banach space with a normal convex cone \(K\) and \(f: D\to Y\) a given function. Then the following conditions are equivalent: \(f\) is \(K\)-Wright-concave; \(f\) generates \(K\)-Schur-concave sums; \(f= A+ V\) with additive \(A\) and concave \(V\); \(f\) is \(K\)-midconcave and \[ f(tx+ (
openaire   +2 more sources

Indecomposable 0-Hecke modules for extended Schur functions

Proceedings of the American Mathematical Society, 2020
Dominic Searles
exaly  

Schur Functions and Their Realizations in the Slice Hyperholomorphic Setting

Integral Equations and Operator Theory, 2011
Daniel Alpay, Fabrizio Colombo, Irene Sabadini   +2 more
exaly  

Quasisymmetric Schur functions

Journal of Combinatorial Theory - Series A, 2011
S Van Willigenburg
exaly  

Kohnert tableaux and a lifting of quasi-Schur functions

Journal of Combinatorial Theory - Series A, 2018
Dominic Searles
exaly  

A lift of Schur's Q-functions to the peak algebra

Journal of Combinatorial Theory - Series A, 2015
Naihuan Jing, Yunnan Li
exaly  

Catalan functions and ?-Schur positivity

Journal of the American Mathematical Society, 2019
Jonah Blasiak
exaly  

Skew row-strict quasisymmetric Schur functions

Journal of Algebraic Combinatorics, 2015
Elizabeth Niese
exaly