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MONOMIAL REALIZATION OF THE CRYSTALS OVER U-q(A(infinity)) AND THE QUANTUM MONSTER ALGEBRA
- Authors
- Kim, Jeong-Ah; Shin, Dong-Uy
- Issue Date
- Mar-2010
- Publisher
- TAYLOR & FRANCIS INC
- Keywords
- Crystals; Nakajima monomials
- Citation
- COMMUNICATIONS IN ALGEBRA, v.38, no.3, pp.890 - 907
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMMUNICATIONS IN ALGEBRA
- Volume
- 38
- Number
- 3
- Start Page
- 890
- End Page
- 907
- ISSN
- 0092-7872
- Abstract
- We give new realizations of the crystal bases of the Verma modules and the irreducible highest weight modules over the quantum generalized Kac-Moody algebra U-q(A(infinity)) and the quantum Monster algebra using Nakajima monomials. Moreover, another realization of the crystals B(infinity) and B(lambda) over U-q(A(infinity)) using triangular matrices and tableaux are given.
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Related Researcher
- Shin, Dong Uy
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)