COSAM » COSAM Faculty » Mathematics and Statistics » Randall R. Holmes

Mathematics and Statistics

Professor

**Research Areas:**
Algebra

**Office: **202 Parker Hall

**Address:**

221 Parker Hall

Auburn, AL 36849-5310

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

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

**E-Mail: **holmerr@auburn.edu

__Education__

__Professional Employment__

__Professional Activities__

__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