QUANTIZATION AND COCYCLES ON THE SUPERTORUS AND LARGE-N LIMITS FOR THE CLASSICAL LIE SUPERALGEBRAS
1991 ◽
Vol 06
(03)
◽
pp. 217-224
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The Poisson superbracket Lie superalgebra on the supertorus T2d|N is considered and its quantization is carried out. It is shown that there exists a non-trivial supercentral extension by means of 2d arbitrary c-numbers (when N is even), or 2d Grassmann numbers (when N is odd). It is shown that the infinite-dimensional superalgebras on the supertorus T2d|N can be considered as certain generalizations and large-M limits of the classical superalgebras A(M| M) and Q(M) (when N is even and odd respectively).
2012 ◽
Vol 11
(06)
◽
pp. 1250119
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1993 ◽
Vol 08
(02)
◽
pp. 129-137
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2017 ◽
Vol 16
(03)
◽
pp. 1750050
Keyword(s):
2005 ◽
Vol 04
(01)
◽
pp. 15-57
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1984 ◽
Vol 3
(4)
◽
pp. 529-532
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1992 ◽
Vol 07
(20)
◽
pp. 4885-4898
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