Results 141 to 150 of about 95,105 (247)
Further Pieri-type formulas for the nonsymmetric Macdonald polynomials [PDF]
arXiv, 2010 The branching coefficients in the expansion of the elementary symmetric function multiplied by a symmetric Macdonald polynomial $P_\kappa(z)$ are known explicitly. These formulas generalise the known $r=1$ case of the Pieri-type formulas for the nonsymmetric Macdonald polynomials $E_\eta(z)$.
arxiv
Five-term relation and Macdonald polynomials
Journal of Combinatorial Theory, Series A, 2019 Some mistakes are corrected and the proof is substantially expanded.
Adriano Garsia, Anton Mellit
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Representation-theoretic proof of the inner product and symmetry identities for MacDonald's polynomials [PDF]
arXiv, 1994 This paper is a continuation of our papers [EK1, EK2]. In [EK2] we showed that for the root system A_n-1 one can obtain Macdonald's polynomials - a new interesting class of symmetric functions recently defined by I. Macdonald {M1] - as weighted traces of intertwining operators between certain finite-dimensional representations of U_q sl_n.
arxiv
Kadell’s two conjectures for Macdonald polynomials [PDF]
Mathematical Research Letters, 1996 This paper contains the proof of difference counterparts of the conjectures due to Keven Kadell on symmetric and anti-symmetric Macdonald polynomials.
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Journal of High Energy PhysicsWe 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 +2 more
doaj +1 more source
Long-Term Change in Bone Mineral Density in Women Living With HIV: A 10-Year Prospective Controlled Cohort Study. [PDF]
JBMR Plus, 2023 Macdonald HM +7 more
europepmc +1 more source
Kerov functions for composite representations and Macdonald ideal
Nuclear Physics B, 2019 Kerov functions provide an infinite-parametric deformation of the set of Schur functions, which is a far-going generalization of the 2-parametric Macdonald deformation.
A. Mironov, A. Morozov
doaj
Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials [PDF]
arXiv, 2007 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.
arxiv
Performance Comparison of Classical Methods and Neural Networks for Colour Correction. [PDF]
J Imaging, 2023 Kucuk A +3 more
europepmc +1 more source
On (q,t)-deformation of Gaussian matrix model
Physics Letters B, 2018 The recently discovered general formulas for perturbative correlators in basic matrix models can be interpreted as the Schur-preservation property of Gaussian measures.
A. Morozov, A. Popolitov, Sh. Shakirov
doaj