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No-cycle algebras and representation theory
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Boddington, Paul (2004) No-cycle algebras and representation theory. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b1782895~S15
Abstract
In the first half of this dissertation we study certain quotient algebras of preprojective
algebras called no-cycle algebras N. These are studied via one-cycle algebras,
which are introduced here. Results include detailed combinatorial information on
N, and in certain special cases a presentation for N as a quiver with relations.
In the second half we consider deformations of coordinate algebras of
Kleinian singularities. Results include an explicit presentation for the deformations
of a type D singularity.
These two themes are tied together at the end by some mainly speculative
comments about the role the various objects studied have to play in representation
theory.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Algebras, Linear, Algebraic cycles, Combinatorial analysis, Directed graphs, Projective modules (Algebra) | ||||
Official Date: | September 2004 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Rumynin, Dmitriy | ||||
Sponsors: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Extent: | vi, 103 leaves | ||||
Language: | eng |
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