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Description of B(∞) through Kashiwara Embedding for Lie Algebra Types E ₆ and E ₇
- Hong, Jin;
- Lee, Hyeonmi
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1초록
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).
키워드
Crystal base; Exceptional simple Lie algebra; Marginally large tableau; Kashiwara embedding; GINDIKIN-KARPELEVICH FORMULA; P-ADIC GROUPS; CRYSTAL BASES; YOUNG TABLEAUX; POLYHEDRAL REALIZATIONS; CANONICAL BASES; Q-ANALOG
- 제목
- Description of B(∞) through Kashiwara Embedding for Lie Algebra Types E ₆ and E ₇
- 저자
- Hong, Jin; Lee, Hyeonmi
- 발행일
- 2017-08
- 유형
- Article
- 권
- 20
- 호
- 4
- 페이지
- 871 ~ 893