Primitive and Poisson spectra of non-semisimple twists of polynomial algebras
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Date
2001
Authors
Brandl, Mary-Katherine, 1963-
Journal Title
Journal ISSN
Volume Title
Publisher
University of Oregon
Abstract
We examine a family of twists of the complex polynomial ring on n generators by a non-semisimple automorphism. In particular, we consider the case where the automorphism is represented by a single Jordan block. The multiplication in the twist determines a Poisson structure on affine n-space. We demonstrate that the primitive ideals in the twist are parameterized by the symplectic leaves associated to this Poisson structure. Moreover, the symplectic leaves are determined by the orbits of a regular unipotent subgroup of the complex general linear group.
Description
Adviser: Brad Shelton.
viii, 49 leaves
A print copy of this title is available through the UO Libraries under the call number: MATH LIB. QA251.3 .B716 2001
A print copy of this title is available through the UO Libraries under the call number: MATH LIB. QA251.3 .B716 2001
Keywords
Polynomial rings, Poisson algebras, Noncommutative rings