Leonid A. Bokut, Seok-Jin Kang, Kyu-Hwan Lee, Peter Malcolmson
Published 1998-09-06Version 1
We show that a set of monic polynomials in the free Lie superalgebra is a Gr\"obner-Shirshov basis for a Lie superalgebra if and only if it is a Gr\"obner-Shirshov basis for its universal enveloping algebra. We investigate the structure of Gr\"obner-Shirshov bases for Kac-Moody superalgebras and give explicit constructions of Gr\"obner-Shirshov bases for classical Lie superalgebras.
Centers of Universal Enveloping Algebras
Snowflake modules and Enright functor for Kac-Moody superalgebras
The argument shift method in universal enveloping algebra $U\mathfrak{gl}_d$
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