Dual Reflection Groups of Low Order

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 $A$.

Grantor dc:publisher

Wake Forest University

Year dc:date.issued

2016

Author dc:creator

• Vashaw, Kent Barton

• Algebra

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10339/59320

OAI identifier oai:identifier

oai:wakespace.lib.wfu.edu:10339/59320