Zigzag Strip Bundles and the Crystal B(∞) for Quantum Affine Algebras

Jeong Ah Kim; Dong Uy Shin

doi:10.1080/00927872.2014.881835

Zigzag Strip Bundles and the Crystal B(∞) for Quantum Affine Algebras

Jeong Ah Kim, Dong Uy Shin

Department of Mathematics

Hanyang University

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

7 Scopus citations

Abstract

We give a new realization of the crystal B(∞) of (Formula presented.) ((Formula presented.) , (Formula presented.) , or (Formula presented.)) using the combinatorial objects zigzag strip bundles. Moreover, we study the relation between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of B(∞).

Original language	English
Pages (from-to)	1983-2004
Number of pages	22
Journal	Communications in Algebra
Volume	43
Issue number	5
DOIs	https://doi.org/10.1080/00927872.2014.881835
State	Published - 4 May 2015

Keywords

Crystals
Zigzag strip bundles

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10.1080/00927872.2014.881835

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title = "Zigzag Strip Bundles and the Crystal B(∞) for Quantum Affine Algebras",

abstract = "We give a new realization of the crystal B(∞) of (Formula presented.) ((Formula presented.) , (Formula presented.) , or (Formula presented.)) using the combinatorial objects zigzag strip bundles. Moreover, we study the relation between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of B(∞).",

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AU - Shin, Dong Uy

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N2 - We give a new realization of the crystal B(∞) of (Formula presented.) ((Formula presented.) , (Formula presented.) , or (Formula presented.)) using the combinatorial objects zigzag strip bundles. Moreover, we study the relation between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of B(∞).

AB - We give a new realization of the crystal B(∞) of (Formula presented.) ((Formula presented.) , (Formula presented.) , or (Formula presented.)) using the combinatorial objects zigzag strip bundles. Moreover, we study the relation between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of B(∞).

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KW - Zigzag strip bundles

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JF - Communications in Algebra

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Zigzag Strip Bundles and the Crystal B(∞) for Quantum Affine Algebras

Abstract

Keywords

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