CRYSTAL B(lambda) IN B(infinity) FOR G(2) TYPE LIE ALGEBRA
- Authors
- Kim, Min Kyu; Lee, Hyeonmi
- Issue Date
- Mar-2014
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- crystal base; G(2) type Lie algebra; marginally large tableau; Nakajima monomial
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.51, no.2, pp.427 - 442
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 51
- Number
- 2
- Start Page
- 427
- End Page
- 442
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/160529
- DOI
- 10.4134/JKMS.2014.51.2.427
- ISSN
- 0304-9914
- Abstract
- A previous work gave a combinatorial description of the crystal B(infinity), in terms of certain simple Young tableaux referred to as the marginally large tableaux, for finite dimensional simple Lie algebras. Using this result, we present an explicit description of the crystal B(lambda), in terms of the marginally large tableaux, for the G(2) Lie algebra type. We also provide a new description of B(lambda), in terms of Nakajima monomials, that is in natural correspondence with our tableau description.
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