Crystal bases for quantum affine algebras and Young walls

Kang, Seok-Jin; Lee, Hyeonmi

doi:10.1016/j.jalgebra.2009.06.010

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Crystal bases for quantum affine algebras and Young walls

Kang, Seok-Jin;
Lee, Hyeonmi

Citations

WEB OF SCIENCE

11

Citations

SCOPUS

11

초록

We provide a unified approach to the Young wall description of crystal graphs for arbitrary level irreducible highest weight representations over classical quantum affine algebras. The crystal graph is realized as the affine crystal consisting of all reduced Young walls built on a ground-state wall.

키워드

Crystal; Reduced Young wall; Quantum affine algebra; Slice; Splitting of blocks; Q-ANALOG; REPRESENTATIONS; COMBINATORICS; REALIZATION; GRAPHS

제목: Crystal bases for quantum affine algebras and Young walls

저자: Kang, Seok-Jin; Lee, Hyeonmi

DOI: 10.1016/j.jalgebra.2009.06.010

발행일: 2009-09

유형: Article

저널명: Journal of Algebra

권: 322

호: 6

페이지: 1979 ~ 1999