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Deformations of enveloping algebra of Lie superalgebrasl(m, n)

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Abstract

Theq-deformations of the universal enveloping algebra ofsl(m, n) are considered, a Poincaré-Birkhoff-Witt type theorem is proved for these deformations, and the extra relations which are needed to definesl(m, n) as a contragredient algebra in addition to the Serre-type relations are identified with proof.

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  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, 53201, Milwaukee, WI, USA

    Yi Ming Zou

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  1. Yi Ming Zou
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Communicated by H. Araki

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Zou, Y.M. Deformations of enveloping algebra of Lie superalgebrasl(m, n) . Commun.Math. Phys. 162, 467–479 (1994). https://doi.org/10.1007/BF02101743

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  • DOI: https://doi.org/10.1007/BF02101743

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