Gröbner-Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras
نویسندگان
چکیده
We show that a set of monic polynomials in the free Lie superalgebra is a Gröbner-Shirshov basis for a Lie superalgebra if and only if it is a Gröbner-Shirshov basis for its universal enveloping algebra. We investigate the structure of GröbnerShirshov bases for Kac-Moody superalgebras and give explicit constructions of Gröbner-Shirshov bases for classical Lie superalgebras. Supported in part by the Russian Fund of Basic Research. Supported in part by Research Institute of Mathematics at Seoul National University and Korea Institute for Advanced Study. Supported in part by Research Institute of Mathematics and GARC-KOSEF at Seoul National University.
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