Dr. Allen W. Herman

Professor and Head,
Department of Mathematics and Statistics
University of Regina
Regina, Saskatchewan, Canada
S4S 0A2

Email: aherman(at)math.uregina.ca
Office: College West 307.18 (Latitude: N 50o 25' Longitude: W 104o 35')
Office Phone: +(306)585-4487

Quick Links: U of R Webmail ----- U of R Net Storage ----- U of R Department of Mathematics and Statistics
Our Math 101 Textbook, 7th Edition.

Research Area: Algebras and Representation Theory. I work primarily on questions that are somehow related to culation of Schur indices, identification of Brauer equivalence classes of central simple or central separable algebras that arise in algebras generated by finite groups or closely related algebraic structures over algebraic number fields or their rings of integers. This has included work on units of group algebras, association schemes, coherent configurations, Hecke algebras, crossed product algebras, G-algebras, H-module algebras where H is a cocommutative Hopf algebra, and generalizations of Turull's Clifford theory with Schur indices in the G-algebra setting. My current project deals with a type of equivariant Brauer group called the Brauer-Clifford group that arises from an equivariant Brauer equivalence of separable G-algebras over commutative rings.

Research Links: My CV.
Conference Webpage for the Workshop and Special Session on Representation Theory of Groups, Lie Algebras, and Hopf Algebras in Regina, May 31 to June 4, 2012.
Slides for my Talk at the Workshop on Graphs, Maps, and Polytopes, Fields Institute, October 2011.
Slides for my Talk at the Bled'll International Conference, June 2011.
Conference Webpage for Algebraic Aspects of Association Schemes and Scheme Rings , July 8 to 11, 2008.
Lecture Notes on Algebraic Aspects of Association Schemes and Scheme Rings (last updated August 31, 2011.)
Explicit Fusion Data for Small Association Schemes - results of a Mitacs Globalink Project, Summer 2011.