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On quantization of {bold Z}{sub 2}-graded algebras

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.532234· OSTI ID:435157
 [1]
  1. St. Petersburg State University, Physics Institute, Theoretical Department, 198904 Ulyanovskaya 1, Stary Petergof, St. Petersburg (Russia)

Quantization of {bold Z}{sub 2}-graded Lie bialgebras viewed as a generalization of sl(2) is investigated. A method of building multiparameter solutions is developed. We study the role of the quantum double construction in the selected class and prove that a quantized coboundary {bold Z}{sub 2}-graded Lie bialgebra contains a quasitriangular Hopf subalgebra. {copyright} {ital 1997 American Institute of Physics.}

OSTI ID:
435157
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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