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Generalized Young Walls for Classical Lie Algebras

Title
Generalized Young Walls for Classical Lie Algebras
Author
신동의
Keywords
Crystals; Generalized Young walls; Tableaux; Nakajima monomials; Kashiwara embeddings
Issue Date
2019-04
Publisher
SPRINGER
Citation
ALGEBRAS AND REPRESENTATION THEORY, v. 22, NO 2, Page. 345-373
Abstract
In this paper, we introduce an new combinatorial model, which we call generalized Young walls for classical Lie algebras, and we give two realizations of the crystal B() over classical Lie algebras using generalized Young walls. Also, we construct natural crystal isomorphisms between generalized Young wall realizations and other realizations, for example, monomial realization, polyhedral realization and tableau realization. Moreover, as applications, we obtain a crystal isomorphism between two different polyhedral realizations of B().
URI
https://link.springer.com/article/10.1007%2Fs10468-018-9770-zhttp://repository.hanyang.ac.kr/handle/20.500.11754/109943
ISSN
1386-923X; 1572-9079
DOI
10.1007/s10468-018-9770-z
Appears in Collections:
COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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