Results 51 to 60 of about 896 (74)

Wreath Macdonald operators

Forum of Mathematics, Sigma
We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald P-polynomials; the eigenvalues are written in terms of elementary symmetric polynomials of arbitrary degree.
Daniel Orr, Mark Shimozono, Joshua Wen
doaj   +1 more source

STABILITY PATTERNS IN REPRESENTATION THEORY

Forum of Mathematics, Sigma, 2015
We develop a comprehensive theory of the stable representation categories of several sequences of groups, including the classical and symmetric groups, and their relation to the unstable categories.
STEVEN V SAM, ANDREW SNOWDEN
doaj   +1 more source

A generalized Macdonald operator

, 2010
We present an explicit difference operator diagonalized by the Macdonald polynomials associated with an (arbitrary) admissible pair of irreducible reduced crystallographic root systems.
Baratta, Bourbaki, E. Emsiz, J. F. van Diejen, Komori, Lassalle, Lassalle, Macdonald, Macdonald, Stembridge, Stembridge, van Diejen, van Diejen, van Diejen, van Diejen   +14 more
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Splines on Cayley graphs of the symmetric group

Forum of Mathematics, Sigma
A spline is an assignment of polynomials to the vertices of a graph whose edges are labeled by ideals, where the difference of two polynomials labeling adjacent vertices must belong to the corresponding ideal. The set of splines forms a ring. We consider
Nathan R. T. Lesnevich
doaj   +1 more source

Regular Schur labeled skew shape posets and their 0-Hecke modules

Forum of Mathematics, Sigma
Assuming Stanley’s P-partitions conjecture holds, the regular Schur labeled skew shape posets are precisely the finite posets P with underlying set $\{1, 2, \ldots , |P|\}$ such that the P-partition generating function is symmetric and the set of ...
Young-Hun Kim, So-Yeon Lee, Young-Tak Oh
doaj   +1 more source

Generalized Stability of Heisenberg Coefficients [PDF]

, 2018
Stembridge introduced the notion of stability for Kronecker triples which generalize Murnaghan's classical stability result for Kronecker coefficients.
Ying, Li
core   +4 more sources

Quantum K theory of Grassmannians, Wilson line operators and Schur bundles

Forum of Mathematics, Sigma
We prove a ‘Whitney’ presentation, and a ‘Coulomb branch’ presentation, for the torus equivariant quantum K theory of the Grassmann manifold $\mathrm {Gr}(k;n)$ , inspired from physics, and stated in an earlier paper.
Wei Gu, Leonardo Mihalcea, Eric Sharpe, Hao Zou   +3 more
doaj   +1 more source

An inverse Grassmannian Littlewood–Richardson rule and extensions

Forum of Mathematics, Sigma
Chow rings of flag varieties have bases of Schubert cycles $\sigma _u $ , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula for the structure constants of this basis.
Oliver Pechenik, Anna Weigandt
doaj   +1 more source

On the Spectrum of the Derangement Graph [PDF]

, 2007
We derive several interesting formulae for the eigenvalues of the derangement graph and use them to settle affirmatively a conjecture of Ku regarding the least ...
Renteln, Paul
core   +1 more source

Transitive factorizations of permutations and geometry [PDF]

, 2014
We give an account of our work on transitive factorizations of permutations. The work has had impact upon other areas of mathematics such as the enumeration of graph embeddings, random matrices, branched covers, and the moduli spaces of curves.
Goulden, I. P., Jackson, D. M.
core