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CRYSTAL B(infinity) FOR QUANTUM AFFINE ALGEBRAS: A YOUNG WALL DESCRIPTION
- Authors
- Lee, Hyeonmi
- Issue Date
- May-2014
- Publisher
- TAYLOR & FRANCIS INC
- Keywords
- Crystal base; Quantum affine algebra; Young wall
- Citation
- COMMUNICATIONS IN ALGEBRA, v.42, no.10, pp.4509 - 4525
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMMUNICATIONS IN ALGEBRA
- Volume
- 42
- Number
- 10
- Start Page
- 4509
- End Page
- 4525
- ISSN
- 0092-7872
- Abstract
- We study the crystal base B(infinity) associated with the negative part of the quantum group for classical affine Lie algebra types. Using the expression of the crystal B(infinity) as a union of highest weight crystals, we give an explicit description of B(infinity) in terms of Young walls. The new description realizes B(infinity) as a set of certain objects called marginally large walls.
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Related Researcher
- Lee, Hyeon mi
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)