Bounded Littlewood Identities

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Publisher : American Mathematical Soc.
ISBN 13 : 1470446901
Total Pages : 115 pages
Book Rating : 4.4/5 (74 download)

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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.

BOUNDED LITTLEWOOD IDENTITIES.

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ISBN 13 : 9781470465223
Total Pages : pages
Book Rating : 4.4/5 (652 download)

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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 . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Kissing Complexes and Tau-Tilting for Gentle Algebras

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Publisher : American Mathematical Society
ISBN 13 : 1470450046
Total Pages : 95 pages
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Book Synopsis Non-Kissing Complexes and Tau-Tilting for Gentle Algebras by : Yann Palu

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Cubic Action of a Rank One Group

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Publisher : American Mathematical Society
ISBN 13 : 1470451344
Total Pages : 154 pages
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Book Synopsis Cubic Action of a Rank One Group by : Matthias Grüninger

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Local $L^p$-Brunn-Minkowski Inequalities for $p

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Publisher : American Mathematical Society
ISBN 13 : 1470451603
Total Pages : 78 pages
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Book Synopsis Local $L^p$-Brunn-Minkowski Inequalities for $p by : Alexander V. Kolesnikov

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On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves

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Publisher : American Mathematical Society
ISBN 13 : 1470452103
Total Pages : 105 pages
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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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Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups

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Publisher : American Mathematical Society
ISBN 13 : 1470449366
Total Pages : 182 pages
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Book Synopsis Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups by : Pierre Patie

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On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function

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Publisher : American Mathematical Society
ISBN 13 : 1470450984
Total Pages : 114 pages
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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

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Intense Automorphisms of Finite Groups

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Publisher : American Mathematical Society
ISBN 13 : 1470450038
Total Pages : 117 pages
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Book Synopsis Intense Automorphisms of Finite Groups by : Mima Stanojkovski

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The Canonical Ring of a Stacky Curve

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Publisher : American Mathematical Society
ISBN 13 : 1470452286
Total Pages : 142 pages
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Book Synopsis The Canonical Ring of a Stacky Curve by : John Voight

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Souslin Quasi-Orders and Bi-Embeddability of Uncountable Structures

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Publisher : American Mathematical Society
ISBN 13 : 1470452731
Total Pages : 189 pages
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Book Synopsis Souslin Quasi-Orders and Bi-Embeddability of Uncountable Structures by : Alessandro Andretta

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Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation

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Publisher : American Mathematical Society
ISBN 13 : 1470452294
Total Pages : 131 pages
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Book Synopsis Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation by : Alan Hammond

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Elliptic Theory for Sets with Higher Co-Dimensional Boundaries

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Publisher : American Mathematical Society
ISBN 13 : 1470450437
Total Pages : 123 pages
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Book Synopsis Elliptic Theory for Sets with Higher Co-Dimensional Boundaries by : Guy David

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Positive Gaussian Kernels Also Have Gaussian Minimizers

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Publisher : American Mathematical Society
ISBN 13 : 1470451433
Total Pages : 90 pages
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Book Synopsis Positive Gaussian Kernels Also Have Gaussian Minimizers by : Franck Barthe

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The Yang-Mills Heat Equation with Finite Action in Three Dimensions

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Publisher : American Mathematical Society
ISBN 13 : 1470450534
Total Pages : 111 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Yang-Mills Heat Equation with Finite Action in Three Dimensions by : Leonard Gross

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Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs

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Publisher : American Mathematical Society
ISBN 13 : 1470449358
Total Pages : 112 pages
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Book Synopsis Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs by : Stefan Geiss

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Non-Semisimple Extended Topological Quantum Field Theories

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Publisher : American Mathematical Society
ISBN 13 : 1470452693
Total Pages : 161 pages
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Book Synopsis Non-Semisimple Extended Topological Quantum Field Theories by : Marco De Renzi

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