Dual Reflection Groups of Low Order
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- title
- Dual Reflection Groups of Low Order
- author
- Vashaw, Kent Barton
- abstract
- We consider group-gradings of noncommutative algebras with the following question in mind: for what groups $G$ does there exist an Artin-Schelter regular algebra $A$ with $G$ grading $A$ such that $A_e$, the identity-graded component of $A$, is itself Artin-Schelter regular? And in particular, restricting further, what if we require $A$ to be a quadratic domain? Results exist regarding the Poincar\'e polynomial of a group with respect to an arbitrary generating set that grades an Artin-Schelter regular algebra in this way, which we use to narrow down possible grades of the generators of $A$.
- subject
- Algebra
- Invariant Theory
- Noncommutative Algebra
- contributor
- Kirkman, Ellen (committee chair)
- Rouse, Jeremy (committee member)
- Moore, Frank (committee member)
- date
- 2016-05-21T08:35:52Z (accessioned)
- 2016-05-21T08:35:52Z (available)
- 2016 (issued)
- degree
- Mathematics (discipline)
- identifier
- http://hdl.handle.net/10339/59320 (uri)
- language
- en (iso)
- publisher
- Wake Forest University
- type
- Thesis