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Bounded Littlewood Identities
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Book Synopsis Bounded Littlewood Identities by : Eric M. Rains
Download or read book Bounded Littlewood Identities written by Eric M. Rains and published by American Mathematical Soc.. This book was released on 2021-07-21 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternative to Macdonald’s partial fraction technique and results in the first examples of bounded Littlewood identities for Macdonald polynomials. These identities, which take the form of decomposition formulas for Macdonald polynomials of type (R, S) in terms of ordinary Macdonald polynomials, are q, t-analogues of known branching formulas for characters of the symplectic, orthogonal and special orthogonal groups. In the classical limit, our method implies that MacMahon’s famous ex-conjecture for the generating function of symmetric plane partitions in a box follows from the identification of GL(n, R), O(n) as a Gelfand pair. As further applications, we obtain combinatorial formulas for characters of affine Lie algebras; Rogers–Ramanujan identities for affine Lie algebras, complementing recent results of Griffin et al.; and quadratic transformation formulas for Kaneko–Macdonald-type basic hypergeometric series.
Book Synopsis BOUNDED LITTLEWOOD IDENTITIES. by : ERIC M. RAINS
Download or read book BOUNDED LITTLEWOOD IDENTITIES. written by ERIC M. RAINS and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-Kissing Complexes and Tau-Tilting for Gentle Algebras by : Yann Palu
Download or read book Non-Kissing Complexes and Tau-Tilting for Gentle Algebras written by Yann Palu and published by American Mathematical Society. This book was released on 2021-12-30 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Cubic Action of a Rank One Group by : Matthias Grüninger
Download or read book Cubic Action of a Rank One Group written by Matthias Grüninger and published by American Mathematical Society. This book was released on 2022-04-08 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Local $L^p$-Brunn-Minkowski Inequalities for $p by : Alexander V. Kolesnikov
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Book Synopsis On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves by : Nuno Freitas
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Book Synopsis Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups by : Pierre Patie
Download or read book Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups written by Pierre Patie and published by American Mathematical Society. This book was released on 2021-11-16 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function by : Athanassios S. Fokas
Download or read book On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function written by Athanassios S. Fokas and published by American Mathematical Society. This book was released on 2022-02-02 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Intense Automorphisms of Finite Groups by : Mima Stanojkovski
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Book Synopsis The Canonical Ring of a Stacky Curve by : John Voight
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Book Synopsis Non-Semisimple Extended Topological Quantum Field Theories by : Marco De Renzi
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