Results 61 to 70 of about 561,255 (240)
Pieri rules for Schur functions in superspace [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Schur functions in superspace $s_\Lambda$ and $\overline{s}_\Lambda$ are the limits $q=t= 0$ and $q=t=\infty$ respectively of the Macdonald polynomials in superspace.
Miles Eli Jones, Luc Lapointe
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A nonsymmetric version of Okounkov's BC-type interpolation Macdonald polynomials [PDF]
, 2019 Symmetric and nonsymmetric interpolation Laurent polynomials are introduced with the interpolation points depending on $q$ and a $n$-tuple of parameters $\tau=(\tau_1,\ldots,\tau_n)$.
Disveld, Niels +2 more
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Double Macdonald polynomials as the stable limit of Macdonald superpolynomials [PDF]
Journal of Algebraic Combinatorics, 2014 40 pages; v2: title and abstract changed; minor modifications in the ...
Olivier Blondeau-Fournier +2 more
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Macdonald Polynomials and Chromatic Quasisymmetric Functions [PDF]
The Electronic Journal of Combinatorics, 2020 We express the integral form Macdonald polynomials as a weighted sum of Shareshian and Wachs' chromatic quasisymmetric functions of certain graphs. Then we use known expansions of these chromatic quasisymmetric functions into Schur and power sum symmetric functions to provide Schur and power sum formulas for the integral form Macdonald polynomials ...
Andrew Timothy Wilson, James Haglund
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Symmetry, Integrability and Geometry: Methods and Applications, 2013 We present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise as a degeneration of the ...
Jan Felipe van Diejen, Erdal Emsiz
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Shiraishi functor and non-Kerov deformation of Macdonald polynomials
European Physical Journal C: Particles and Fields, 2020 We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function.
Hidetoshi Awata +3 more
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Orthogonality of Macdonald polynomials with unitary parameters [PDF]
Mathematische Zeitschrift, 2013 For any admissible pair of irreducible reduced crystallographic root systems, we present discrete orthogonality relations for a finite-dimensional system of Macdonald polynomials with parameters on the unit circle subject to a truncation relation.
Van Diejen, Jan Felipe, Emsiz, Erdal
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On pentagon identity in Ding-Iohara-Miki algebra
Journal of High Energy Physics, 2023 We notice that the famous pentagon identity for quantum dilogarithm functions and the five-term relation for certain operators related to Macdonald polynomials discovered by Garsia and Mellit can both be understood as specific cases of a general “master ...
Yegor Zenkevich
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A generalization of the Kostka-Foulkes polynomials [PDF]
, 1998 Combinatorial objects called rigged configurations give rise to q-analogues of certain Littlewood-Richardson coefficients. The Kostka-Foulkes polynomials and two-column Macdonald-Kostka polynomials occur as special cases.
Kirillov, Anatol N., Shimozono, Mark
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Orthogonal Polynomials of Compact Simple Lie Groups
International Journal of Mathematics and Mathematical Sciences, 2011 Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko +2 more
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