Crystal B(lambda) as a Subset of the Tableau Description of B(infinity) for the Classical Lie Algebra Types

Title
Crystal B(lambda) as a Subset of the Tableau Description of B(infinity) for the Classical Lie Algebra Types
Author
이현미
Keywords
Crystal base; Classical simple Lie algebra; Marginally large tableau
Issue Date
2015-02
Publisher
SPRINGER
Citation
ALGEBRAS AND REPRESENTATION THEORY, v. 18, NO 1, Page. 137-160
Abstract
The irreducible highest weight crystal is known to appear as a connected component within the crystal graph of . Using the marginally large tableau realization of , we identify the elements belonging to this connected component, for the Lie algebra types C (n) , B (n) , and D (n+1). This gives us a tableau realization of that is different from the well known tableau realization by Kashiwara and Nakashima. In particular, our new description no longer involves half-boxes. We further present a description of through the Kashiwara embedding.
URI
http://link.springer.com/article/10.1007/s10468-014-9485-8http://hdl.handle.net/20.500.11754/23099
ISSN
1386-923X; 1572-9079
DOI
10.1007/s10468-014-9485-8
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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