View related pages

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

Randall R. Holmes

Research Areas - Algebra

Office: 202 Parker Hall

221 Parker Hall
Auburn, AL 36849-5310

Phone: (334) 844-6571
Fax: (334) 844-6555

Lab/Research Page


Ph.D., University of Illinois, Urbana
M.A., University of Missouri - Columbia
B.S., University of Missouri - Columbia

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

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

Last updated: 11/12/2015