Annihilators of Irreducible Representations of the Lie Superalgebra of Contact Vector Fields on the Superline
Description:
The superline has one even and one odd coordinate. We consider the Lie superalgebra of contact vector fields on the superline. Its tensor density modules are a one-parameter family of deformations of the natural action on the ring of polynomials on the superline. They are parameterized by a complex number, and they are irreducible when this parameter is not zero. In this dissertation, we describe the annihilating ideals of these representations in the universal enveloping algebra of this Lie su…
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Date:
May 2023
Creator:
Goode, William M.