Strip Bundles and the Highest Weight Crystals Over Quantum Infinite Rank Affine Algebras

Jeong Ah Kim; Dong Uy Shin

doi:10.1080/00927872.2014.974251

Strip Bundles and the Highest Weight Crystals Over Quantum Infinite Rank Affine Algebras

Jeong Ah Kim, Dong Uy Shin

Department of Mathematics

Hanyang University

Research output: Contribution to journal › Article › peer-review

Abstract

We give new realizations of the highest weight crystals B(λ) over the quantum infinite rank affine algebras U _q(A_∞), U_q(B_∞), U_q(C_∞), and U_q(D_∞) using strip bundles, which are related with Nakajima monomials.

Original language	English
Pages (from-to)	5236-5260
Number of pages	25
Journal	Communications in Algebra
Volume	43
Issue number	12
DOIs	https://doi.org/10.1080/00927872.2014.974251
State	Published - 2 Dec 2015

Keywords

Highest weight crystal
Quantum infinite rank affine algebra
Strip bundles

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10.1080/00927872.2014.974251

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title = "Strip Bundles and the Highest Weight Crystals Over Quantum Infinite Rank Affine Algebras",

abstract = "We give new realizations of the highest weight crystals B(λ) over the quantum infinite rank affine algebras U q(A∞), Uq(B∞), Uq(C∞), and Uq(D∞) using strip bundles, which are related with Nakajima monomials.",

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AB - We give new realizations of the highest weight crystals B(λ) over the quantum infinite rank affine algebras U q(A∞), Uq(B∞), Uq(C∞), and Uq(D∞) using strip bundles, which are related with Nakajima monomials.

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Strip Bundles and the Highest Weight Crystals Over Quantum Infinite Rank Affine Algebras

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Keywords

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