Randall R. Holmes

Department of Mathematics and Statistics

Professor Emeritus

Department of Mathematics and Statistics

Professor Emeritus

**Research Areas:**
Algebra

**Office: **202 Parker Hall

**Address:**
221 Parker Hall

Auburn, AL 36849-5310

**Phone: **(334) 844-6571

**Fax: **(334) 844-6555

**Email: **holmerr@auburn.edu

__Education__

Ph.D., University of Illinois, Urbana

1987

M.A., University of Missouri - Columbia

1982

B.S., University of Missouri - Columbia

1978

__Professional Employment__

Professor, Department of Mathematics and Statistics, Auburn University

2007 - present

Associate Profesor, Department of Mathematics and Statistics, Auburn University

1994 - 2007

Assistant Professor, Department of Mathematics and Statistics, Auburn University

1989 - 1994

J.W. Gibbs Instructor, Yale University

1987 - 1989

__Professional Activities__

Member: American Mathematical Society

Referee: Journal of Algebra, Linear and Multilinear Algebra, Communications in Algebra, Journal of Pure and Applied Algebra, Proceedings of the Conference on the Monster and Lie Algebras (Ohio State University), Linear Algebra and its Applications, Proceedings of the International Conference on Representation Theory IV (Lhasa, China), Proceedings of the Edinburg Mathematical Society, Frontiers of Mathematics in China, Algebra Colloquium

__Research and Teaching Interests__

Algebra: Representation Theory of Lie Algebras and Finite Groups.

__Selected Publications__

- Geometry of standard symmetrized tensors (with H. Harmon), Linear Algebra and Its Applications (2014), to appear.
- The coefficient coalgebra of a symmetrized tensor space (with D. Turner), Linear Multilinear Algebra 60(4) (2012), 385-396.
- Group Representations (with T.-Y. Tam), chapter in CRC Handbook of Linear Algebra (2006), 68-(1-11).
- Orthogonality of cosets relative to irreducible characters of finite groups, Linear Multilinear Algebra 52, no. 2 (2004), 133-143.
- Simple modules with character height at most one for the restricted Witt Algebras, J. Algebra 237, no. 2 (2001), 446-469