比利时vs摩洛哥足彩
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university of california san diego
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combinatorics seminar
cristian lenart
比利时vs摩洛哥足彩 - state university of new york, albany
affine crystals, macdonald polynomials, and combinatorics
abstract:
crystals are colored directed graphs encoding information about lie algebra representations. kirillov-reshetikhin (kr) crystals correspond to certain finite-dimensional representations of affine lie algebras. i will present a combinatorial model which realizes tensor products of (column shape) kr crystals uniformly across affine types. some computational applications are discussed. a corollary states that the macdonald polynomials (which generalize the irreducible characters of semisimple lie algebras), upon a certain specialization, coincide with the graded characters of tensor products of kr modules. the talk is largely self-contained, and is based on a series of papers with a. lubovsky, s. naito, d. sagaki, a. schilling, and m. shimozono.
host: jeff remmel
june 24, 2016
4:00 pm
ap&m 7321
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