Auslander's Theorem for Artin-Schelter Regular Algebras of Dimension Two Under Group Coactions
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- title
- Auslander's Theorem for Artin-Schelter Regular Algebras of Dimension Two Under Group Coactions
- author
- Feggeler, Noah
- abstract
- Classical invariant theory studies the fixed elements of group actions under polynomial rings and formal power series rings. For a group G acting on a polynomial ring or formal power series ring R the set of elements fixed under G, denoted R^G, is a subring of R, and so we can ask questions relating properties of G with properties of the invariant subring. There are many strong results that have to do with determining these properties, such that the Shephard-Todd-Chevalley Theorem.
- subject
- Algebra
- Artin-Schelter Regular Algebras
- Coactions
- Invariant Theory
- contributor
- Kirkman, Ellen E. (advisor)
- Moore, W. Frank (committee member)
- date
- 2025-06-24T08:36:25Z (accessioned)
- 2025-06-24T08:36:25Z (available)
- 2025 (issued)
- degree
- Mathematics (discipline)
- identifier
- http://hdl.handle.net/10339/111001 (uri)
- language
- en (iso)
- publisher
- Wake Forest University
- type
- Thesis