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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T1 - Zigzag Strip Bundles and the Crystal B(∞) for Quantum Affine Algebras

AU - Kim, Jeong Ah

AU - Shin, Dong Uy

PY - 2015/5/4

Y1 - 2015/5/4

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(∞).

KW - Crystals

KW - Zigzag strip bundles

UR - https://www.scopus.com/pages/publications/84924130206

U2 - 10.1080/00927872.2014.881835

DO - 10.1080/00927872.2014.881835

M3 - Article

AN - SCOPUS:84924130206

SN - 0092-7872

VL - 43

SP - 1983

EP - 2004

JO - Communications in Algebra

JF - Communications in Algebra

IS - 5

ER -

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

Abstract

Keywords

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