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MONOMIAL REALIZATION OF THE TENSOR PRODUCT OF CRYSTALS FOR QUANTUM FINITE ALGEBRAS
- Kim, Jeong-Ah;
- Shin, Dong-Uy
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3초록
In this paper, we give a combinatorial description of the crystal bases of the tensor products of the irreducible highest weight modules over quantum finite algebras in terms of Nakajima monomials. Also, we explain how to decompose the tensor product of irreducible highest weight crystals into irreducibles by giving a bijection defined by multiplication of monomials.
키워드
Crystals; Nakajima monomials; Tensor product decompositions; 17B37; 81R50; Q-ANALOG; BASES; REPRESENTATIONS; GRAPHS
- 제목
- MONOMIAL REALIZATION OF THE TENSOR PRODUCT OF CRYSTALS FOR QUANTUM FINITE ALGEBRAS
- 저자
- Kim, Jeong-Ah; Shin, Dong-Uy
- 발행일
- 2014-07
- 유형
- Article
- 권
- 42
- 호
- 7
- 페이지
- 3120 ~ 3136