Polyhedral realizations of crystal bases for quantum algebras of classical affine types

Journal Article · Wed May 15 00:00:00 EDT 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4805584· OSTI ID:22163011

Hoshino, A. ^[1]

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1. Department of General Education, Kagawa National College of Technology, Takamatsu, Kagawa 761-8058 (Japan)

We give the explicit forms of the crystal bases B({infinity}) for the quantum affine algebras of types A{sub 2n-1}{sup (2)}, A{sub 2n}{sup (2)}, B{sub n}{sup (1)}, C{sub n}{sup (1)}, D{sub n}{sup (1)}, and D{sub n+1}{sup (2)} by using the method of polyhedral realizations of crystal bases.

• OSTI ID: 22163011
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 5; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
ALGEBRA
CRYSTAL MODELS
CRYSTALS
QUANTUM MECHANICS
SIMULATION