Results 11 to 20 of about 18,306 (234)
On generalized Macdonald polynomials [PDF]
Journal of High Energy Physics, 2020 Generalized Macdonald polynomials (GMP) are eigenfunctions of specificallydeformed Ruijsenaars Hamiltonians and are built as triangular polylinear combinations of Macdonald polynomials.
A. Mironov, A. Morozov
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Factorisation of Macdonald polynomials [PDF]
, 1997 We discuss the problem of factorisation of the symmetric Macdonald polynomials and present the obtained results for the cases of 2 and 3 variables.Comment: 13 pages, LaTex, no ...
Kuznetsov, Vadim B. +1 more
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Breakthroughs in the theory of Macdonald polynomials. [PDF]
Proc Natl Acad Sci U S A, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garsia A, Remmel JB.
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Factorizations of Symmetric Macdonald Polynomials [PDF]
Symmetry, 2018 We prove many factorization formulas for highest weight Macdonald polynomials indexed by particular partitions called quasistaircases. Consequently, we prove a conjecture of Bernevig and Haldane stated in the context of the fractional quantum Hall effect theory.
Laura Colmenarejo +2 more
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Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials [PDF]
Selecta Mathematica, 2022 We present several new and compact formulas for the modified and integral form of the Macdonald polynomials, building on the compact "multiline queue" formula for Macdonald polynomials due to Corteel, Mandelshtam and Williams. We also introduce a new quasisymmetric analogue of Macdonald polynomials. These quasisymmetric Macdonald polynomials refine the
Corteel, Sylvie +4 more
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Branching formula for Macdonald–Koornwinder polynomials [PDF]
Journal of Algebra, 2015 8 pages ...
J. F. van Diejen, E. Emsiz
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A combinatorial formula for Macdonald polynomials [PDF]
Journal of the American Mathematical Society, 2005 We prove a combinatorial formula for the Macdonald polynomialH~μ(x;q,t)\tilde {H}_{\mu }(x;q,t)which had been conjectured by Haglund. Corollaries to our main theorem include the expansion ofH~μ(x;q,t)\tilde {H}_{\mu }(x;q,t)in terms of LLT polynomials, a new proof of the charge formula of Lascoux and Schützenberger for Hall-Littlewood polynomials, a ...
J. Haglund +2 more
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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.
A. N. Sergeev, А. П. Веселов
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A New Generalisation of Macdonald Polynomials [PDF]
Communications in Mathematical Physics, 2017 We introduce a new family of symmetric multivariate polynomials, whose coefficients are meromorphic functions of two parameters $(q,t)$ and polynomial in a further two parameters $(u,v)$. We evaluate these polynomials explicitly as a matrix product.
Alexandr Garbali +2 more
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Forum of Mathematics, Sigma, 2023 For any branched double covering of compact Riemann surfaces, we consider the associated character varieties that are unitary in the global sense, which we call $\operatorname {\mathrm {GL}}_n\rtimes \!}$ -character varieties.
Cheng Shu
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