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Description of B(∞) through Kashiwara Embedding for Lie Algebra Types E ₆ and E ₇
- Authors
- Hong, Jin; Lee, Hyeonmi
- Issue Date
- Aug-2017
- Publisher
- SPRINGER
- Keywords
- Crystal base; Exceptional simple Lie algebra; Marginally large tableau; Kashiwara embedding
- Citation
- ALGEBRAS AND REPRESENTATION THEORY, v.20, no.4, pp.871 - 893
- Indexed
- SCIE
SCOPUS
- Journal Title
- ALGEBRAS AND REPRESENTATION THEORY
- Volume
- 20
- Number
- 4
- Start Page
- 871
- End Page
- 893
- ISSN
- 1386-923X
- Abstract
- We study the crystal base B(infinity) associated with the negative part of the quantum group for finite simple Lie algebras of types E (6) and E (7). We present an explicit description of B(infinity) as the image of a Kashiwara embedding that is in natural correspondence with the marginally large tableau description of B(infinity).
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Related Researcher
- Lee, Hyeon mi
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)