dc.contributor.author |
Brandl, Mary-Katherine, 1963- |
en_US |
dc.date.accessioned |
2008-02-10T04:19:31Z |
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dc.date.available |
2008-02-10T04:19:31Z |
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dc.date.issued |
2001 |
en_US |
dc.identifier.isbn |
0-493-36423-4 |
en_US |
dc.identifier.uri |
http://hdl.handle.net/1794/147 |
en_US |
dc.description |
Adviser: Brad Shelton.
viii, 49 leaves |
en_US |
dc.description |
A print copy of this title is available through the UO Libraries under the call number: MATH LIB. QA251.3 .B716 2001 |
en_US |
dc.description.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. |
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1894196 bytes |
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1473 bytes |
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51748 bytes |
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53191 bytes |
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application/pdf |
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dc.format.mimetype |
text/plain |
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text/plain |
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text/plain |
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dc.language.iso |
en_US |
en_US |
dc.publisher |
University of Oregon |
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dc.relation.ispartofseries |
University of Oregon theses, Dept. of Mathematics, Ph. D., 2001 |
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dc.subject |
Polynomial rings |
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dc.subject |
Poisson algebras |
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dc.subject |
Noncommutative rings |
en_US |
dc.title |
Primitive and Poisson spectra of non-semisimple twists of polynomial algebras |
en_US |
dc.type |
Thesis |
en_US |