Results 121 to 130 of about 18,484 (234)

Quasi-Polynomial Extensions of Nonsymmetric Macdonald-Koornwinder Polynomials

Symmetry, Integrability and Geometry: Methods and Applications
In a recent joint paper with S. Sahi and V. Venkateswaran (2025), families of actions of the double affine Hecke algebra on spaces of quasi-polynomials were introduced. These so-called quasi-polynomial representations led to the introduction of quasi-polynomial extensions of the nonsymmetric Macdonald polynomials, which reduce to metaplectic Iwahori ...
openaire   +2 more sources

Nonsymmetric Macdonald polynomials and Demazure characters

Duke Mathematical Journal, 2003
We establish a connection between a specialization of the nonsymmetric Macdonald polynomials and the Demazure characters of the corresponding affine Kac-Moody algebra. This allows us to obtain a representation-theoretical interpretation of the coefficients of the expansion of the specialized symmetric Macdonald polynomials in the basis formed by the ...
openaire   +3 more sources

Performance Comparison of Classical Methods and Neural Networks for Colour Correction. [PDF]

J Imaging, 2023
Kucuk A, Finlayson GD, Mantiuk R, Ashraf M.   +3 more
europepmc   +1 more source

$q{\rm RS}t$: A probabilistic Robinson--Schensted correspondence for Macdonald polynomials (extended abstract) [PDF]

, 2021
Florian Aigner, Gabriel Frieden
openalex   +1 more source

Elliptic deformation of the Gaiotto-Rapčák corner VOA and the associated partially symmetric polynoimals

Journal of High Energy Physics
We construct the elliptic Miura transformation and use it to obtain the expression of the currents of elliptic corner VOA. We subsequently prove a novel combinatorial formula that is essential for deriving the quadratic relations of the currents.
Panupong Cheewaphutthisakun, Jun’ichi Shiraishi, Keng Wiboonton   +2 more
doaj   +1 more source

The correlation functions of vertex operators and Macdonald polynomials [PDF]

, 2005
Shun‐Jen Cheng, Weiqiang Wang
openalex   +1 more source

On Chalykh's approach to eigenfunctions of DIM-induced integrable Hamiltonians

Physics Letters B
Quite some years ago, Oleg Chalykh has built a nice theory from the observation that the Macdonald polynomial reduces at t=q−m to a sum over permutations of simpler polynomials called Baker-Akhiezer functions, which can be unambiguously constructed from ...
A. Mironov, A. Morozov, A. Popolitov
doaj   +1 more source

Interaction of Nanoparticles in Electrolyte Solutions. [PDF]

J Phys Chem B, 2023
Filippov AV, Starov V.
europepmc   +1 more source

Integral representations of the Macdonald symmetric polynomials [PDF]

, 1996
Hidetoshi Awata, Satoru Odake, Junji Shiraishi   +2 more
openalex   +1 more source

Clebsch-Gordan Coefficients for Macdonald Polynomials

Algebras and Representation Theory
Abstract In this paper we use the double affine Hecke algebra to compute the Macdonald polynomial products $$E_\ell P_m$$ E ℓ P
Bhattacharya, Aritra, Ram, Arun
openaire   +2 more sources