Results 51 to 60 of about 18,306 (234)

Yangian Gelfand-Zetlin Bases, gl(N)-Jack Polynomials and computation of Dynamical Correlation Functions in the Spin Calogero-Sutherland Model [PDF]

, 1997
We consider the gl(N)-invariant Calogero-Sutherland Models with N=1,2,3,... in a unified framework, which is the framework of Symmetric Polynomials.
Uglov, Denis
core   +3 more sources

Rodrigues Formulas for the Macdonald Polynomials

Advances in Mathematics, 1997
We present formulas of Rodrigues type giving the Macdonald polynomials for arbitrary partitions through the repeated application of creation operators on the constant 1. Three expressions for the creation operators are derived one from the other.
Lapointe, Luc, Vinet, Luc
openaire   +2 more sources

Vogel's universality and Macdonald dimensions

Nuclear Physics B
We discuss algebraic universality in the sense of P. Vogel for the simplest refined quantity, the Macdonald dimensions. The main known source of universal quantities is given by Chern-Simons theory.
Liudmila Bishler
doaj   +1 more source

Difference Macdonald-Mehta Conjecture [PDF]

, 1997
In the paper we formulate and verify a difference counterpart of the Macdonald-Mehta conjecture and its generalization for the Macdonald polynomials.
Cherednik, Ivan
core   +4 more sources

The Delta Conjecture [PDF]

Discrete Mathematics & Theoretical Computer Science, 2020
We conjecture two combinatorial interpretations for the symmetric function ∆eken, where ∆f is an eigenoperator for the modified Macdonald polynomials defined by Bergeron, Garsia, Haiman, and Tesler.
James Haglund, Jeffrey B. Remmel, Andrew Timothy Wilson   +2 more
doaj   +1 more source

Recursions and divisibility properties for combinatorial Macdonald polynomials [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
Combinatorics
Nicholas A. Loehr, Elizabeth Niese
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
core   +1 more source

Deformed Kazhdan-Lusztig elements and Macdonald polynomials [PDF]

, 2010
We introduce deformations of Kazhdan-Lusztig elements and specialised nonsymmetric Macdonald polynomials, both of which form a distinguished basis of the polynomial representation of a maximal parabolic subalgebra of the Hecke algebra.
de Gier, Jan, Lascoux, Alain, Sorrell, Mark   +2 more
core   +4 more sources

An extension of MacMahon's Equidistribution Theorem to ordered multiset partitions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
A classical result of MacMahon states that inversion number and major index have the same distribution over permutations of a given multiset. In this work we prove a strengthening of this theorem originally conjectured by Haglund.
Andrew Timothy Wilson
doaj   +1 more source

Complementarity in alliances: How strategic compatibility and hierarchy promote efficient cooperation in international security

American Journal of Political Science, EarlyView.
Abstract How can defense alliances reap the efficiency gains of working together when coordination and opportunism costs are high? Although specializing as part of a collective comes with economic and functional benefits, states must bargain over the distribution of those gains and ensure the costs of collective action are minimized.
J. Andrés Gannon
wiley   +1 more source