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GENERALIZED YOUNG WALLS AND CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRA OF TYPE Aopen access
- Authors
- Kim, Jeong-Ah; Shin, Dong-Uy
- Issue Date
- Nov-2010
- Publisher
- AMER MATHEMATICAL SOC
- Citation
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.138, no.11, pp.3877 - 3889
- Indexed
- SCIE
SCOPUS
- Journal Title
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- Volume
- 138
- Number
- 11
- Start Page
- 3877
- End Page
- 3889
- ISSN
- 0002-9939
- Abstract
- We give a new realization of the crystal B(infinity) of U(q)(-)(A(n)((1))) using generalized Young walls, a modified notion of Young walls of type A(n)((1)). Moreover, by the fact that the irreducible highest weight crystal B(lambda) lies in the crystal B(infinity) circle times R(lambda), we construct the crystal B(lambda) using generalized Young walls.
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Related Researcher
- Shin, Dong Uy
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)