Results 51 to 60 of about 18,223 (230)

A raising operator formula for Macdonald polynomials

Forum of Mathematics, Sigma
We give an explicit raising operator formula for the modified Macdonald polynomials $\tilde {H}_{\mu }(X;q,t)$ , which follows from our recent formula for $\nabla $ on an LLT polynomial and the Haglund-Haiman-Loehr formula expressing ...
J. Blasiak, M. Haiman, J. Morse, A. Pun, G. H. Seelinger   +4 more
doaj   +1 more source

Some remarks on non-symmetric interpolation Macdonald polynomials

, 2019
We provide elementary identities relating the three known types of non-symmetric interpolation Macdonald polynomials. In addition we derive a duality for non-symmetric interpolation Macdonald polynomials.
Sahi, Siddhartha, Stokman, Jasper
core   +1 more source

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

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

Deformed Macdonald-Ruijsenaars Operators and Super Macdonald Polynomials [PDF]

Communications in Mathematical Physics, 2009
It is shown that the deformed Macdonald-Ruijsenaars operators can be described as the restrictions on certain affine subvarieties of the usual Macdonald-Ruijsenaars operator in infinite number of variables. The ideals of these varieties are shown to be generated by the Macdonald polynomials related to Young diagrams with special geometry.
Alexander P. Veselov, Alexander P. Veselov, Alexander Sergeev, Alexander Sergeev   +3 more
openaire   +3 more sources

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

Super-Hamiltonians for super-Macdonald polynomials

Physics Letters B
The Macdonald finite-difference Hamiltonian is lifted to a super-generalization. In addition to canonical bosonic time variables pk new Grassmann time variables θk are introduced, and the Hamiltonian is represented as a differential operator acting on a ...
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov   +2 more
doaj   +1 more source