Bounded Littlewood identities

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. Thes...

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Bibliographic Details
Main Authors: Rains, Eric M., Warnaar, S. Ole
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2021
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Combinatorial identities
Orthogonal polynomials
plane partitions
virtual Koornwinder integrals
Rogers–Ramanujan identities
Macdonald–Koornwinder polynomials
Hall–Littlewood polynomials
character formulas
ISBN:1470446901, 9781470446901
ISSN:0065-9266, 1947-6221
Online Access:Get full text
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Summary: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
Bibliography:Includes bibliographical references (p. 109-115)
March 2021, volume 270, number 1317 (first of 7 numbers)
ISBN:1470446901
9781470446901
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1317