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NAKAJIMA MONOMIALS, STRIP BUNDLES, AND THE CRYSTALS B(infinity) OVER U-q(B-infinity), U-q(C-infinity), AND U-q(D-infinity)
- Kim, Jeong-Ah;
- Shin, Dong-Uy
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3초록
In this article, we give two new realizations of the crystal base B(infinity) of the negative part U-q(-)(g) of the quantum generalized Kac-Moody algebra U-q(g) (g = B-infinity, C-infinity or D-infinity) using Nakajima monomials and strip bundles, respectively. Furthermore, we discuss the relation between monomial realization and strip bundle realization.
키워드
Crystals; Nakajima monomials; Strip bundles; KAC-MOODY ALGEBRAS; UNIVERSAL ENVELOPING-ALGEBRAS; POLYHEDRAL REALIZATION; Q-ANALOG; BASES
- 제목
- NAKAJIMA MONOMIALS, STRIP BUNDLES, AND THE CRYSTALS B(infinity) OVER U-q(B-infinity), U-q(C-infinity), AND U-q(D-infinity)
- 저자
- Kim, Jeong-Ah; Shin, Dong-Uy
- 발행일
- 2012-02
- 유형
- Article
- 권
- 40
- 호
- 2
- 페이지
- 697 ~ 718