Bounded Littlewood Identities

Bounded Littlewood Identities PDF Author: Eric M. Rains
Publisher: American Mathematical Soc.
ISBN: 1470446901
Category : Education
Languages : en
Pages : 115

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Book Description
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.

BOUNDED LITTLEWOOD IDENTITIES. PDF Author: ERIC M. RAINS
Publisher:
ISBN: 9781470465223
Category :
Languages : en
Pages :

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Non-Kissing Complexes and Tau-Tilting for Gentle Algebras

Non-Kissing Complexes and Tau-Tilting for Gentle Algebras PDF Author: Yann Palu
Publisher: American Mathematical Society
ISBN: 1470450046
Category : Mathematics
Languages : en
Pages : 95

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Cubic Action of a Rank One Group

Cubic Action of a Rank One Group PDF Author: Matthias Grüninger
Publisher: American Mathematical Society
ISBN: 1470451344
Category : Mathematics
Languages : en
Pages : 154

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

Local $L^p$-Brunn-Minkowski Inequalities for $p PDF Author: Alexander V. Kolesnikov
Publisher: American Mathematical Society
ISBN: 1470451603
Category : Mathematics
Languages : en
Pages : 78

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

On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves PDF Author: Nuno Freitas
Publisher: American Mathematical Society
ISBN: 1470452103
Category : Mathematics
Languages : en
Pages : 105

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Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups

Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups PDF Author: Pierre Patie
Publisher: American Mathematical Society
ISBN: 1470449366
Category : Mathematics
Languages : en
Pages : 182

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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

On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function PDF Author: Athanassios S. Fokas
Publisher: American Mathematical Society
ISBN: 1470450984
Category : Mathematics
Languages : en
Pages : 114

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Intense Automorphisms of Finite Groups

Intense Automorphisms of Finite Groups PDF Author: Mima Stanojkovski
Publisher: American Mathematical Society
ISBN: 1470450038
Category : Mathematics
Languages : en
Pages : 117

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The Canonical Ring of a Stacky Curve

The Canonical Ring of a Stacky Curve PDF Author: John Voight
Publisher: American Mathematical Society
ISBN: 1470452286
Category : Mathematics
Languages : en
Pages : 142

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