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Journal of Mathematical Physics / Volume 44 / Issue 11 / METHODS OF MATHEMATICAL PHYSICS

J. Math. Phys. 44, 5450 (2003); http://dx.doi.org/10.1063/1.1616251 (6 pages)

A central extension of Uq sl(2∣2)(1) and R-matrices with a new parameter

Hiroyuki Yamane

Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka 560-0043, Japan

(Received 14 July 2003; accepted 21 July 2003)

In this paper, using a quantum superalgebra associated with the universal central extension of sl(2∣2)(1), we introduce new R-matrices having an extra parameter x. As x→0, they become those associated with the symmetric and antisymmetric tensor products of the copies of the vector representation of Uq sl(2∣2)(1).© 2003 American Institute of Physics.

© 2003 American Institute of Physics

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KEYWORDS and PACS

Keywords

supersymmetry, matrix algebra

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1616251

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

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$abstract.society.value is a Member of CrossRef American Institute of Physics

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