Bounded Littlewood Identities

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• Format Paperback | 115 pages
• Dimensions 178 x 254mm | 240g
• Publication date 01 May 2022
• Publisher American Mathematical Society
• Publication City/Country Providence, United States
• Language English
• ISBN10 1470446901
• ISBN13 9781470446901

OPIS:

"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 formulasfor Kaneko-Macdonald-type basic hypergeometric series"--

Stan: Bardzo dobry (widoczne delikatne ślady magazynowania)

Kod produkt: AR2-3231-J