Gail Letzter

Professor

Mathematics Department

Virginia Tech

Email:__ letzter@math.vt.edu

Phone:__ (540) 231-3982

FAX:____ (540) 231-5960

Office:_ 534 McBryde Hall

Address: 460 McBryde Hall

________ Department of Mathematics

________ Virginia Tech

________ Blacksburg, VA 24061-0123

Courses, Spring 2005:
MATH 3034: Introduction to Proofs
MATH 3134: Combinatorics and Graph Theory

Courses, Fall 2005
MATH 4164: Advanced Discrete Mathematics

MATH 5125: Abstract Algebra

Research interests: Quantum groups, Lie groups and Lie algebras

Publications:

G. Letzter and L. Makar-Limanov, “Rings of Differential Operators Over Rational Affine Curves”,

Bulletin de la Société Mathématique de France, Vol. 118 (1990) 193209.

G. Letzter, “Non-isomorphic Curves With Isomorphic Rings of Differential

Operators”, Journal of the London Mathematical Society, Vol. 45, No. 2 (1992) 17-31.

A. Joseph and G. Letzter, “Local Finiteness of the Adjoint Action for Quantized

Enveloping Algebras”, Journal of Algebra, Vol. 153, No. 2 (1992) 289-318.

A. Joseph and G. Letzter, “Separation of Variables for Quantized Enveloping Algebras”,

American Journal of Mathematics, Vol. 116, No. 1 (1994) 127-177.

A. Joseph and G. Letzter, “Verma Module Annihilators for Quantized Enveloping Algebras”,

Annales Scientifiques de l'École Normale Supérieure, Series 4, Vol. 28 (1995) 493-526.

A. Joseph and G. Letzter, “Rosso's Form and Quantized Kac Moody algebras”,

Mathematische Zeitschrift, Vol. 222 (1996) 543-571.

D.R. Farkas and G. Letzter, “Ring Theory From Symplectic Geometry”

Journal of Pure and Applied Algebra, Vol. 125, No. 1-3 (1998) 155-190.

S. Kumar and G. Letzter, “Shapovalov Determinant for Restricted and

Quantized Restricted Enveloping Algebras”, Pacific Journal of Mathematics,

Vol. 179, No. 1 (1997) 123-161.

G. Letzter, “Subalgebras Which Appear in Quantum Iwasawa Decompositions”,

Canadian Journal of Mathematics, Vol. 49, no. 6 (1997) 1206-1223.

G. Letzter, “Symmetric Pairs for Quantized Enveloping Algebras”,

Journal of Algebra, Vol. 220, (1999) 729-767.

G. Letzter, “Harish-Chandra Modules for Quantum Symmetric Pairs”,

Representation Theory (American Mathematical Society), Vol. 4 (2000) 64-96.

A. Joseph, G. Letzter, and S. Zelikson, “On the Brylinski-Kostant filtration”,

Journal of the American Mathematical Society, 13 (2000) no. 4, 945-970.

A. Joseph and G. Letzter, “On the Kostant-Parthasarathy-Rango Rao-Varadarajan

Determinants, Part II, Construction of the KPRV Determinants”,

Journal of Algebra, Vol. 241 (2001) 46-66.

A. Joseph and G. Letzter, “On the Kostant-Parthasarathy-Rango Rao-Varadarajan

Determinants, Part III, Computation of the KPRV Determinants”,

Journal of Algebra, Vol. 241 (2001) 67-88.

G. Letzter, “Coideal Subalgebras and Quantum Symmetric Pairs”,

In: New Directions in Hopf Algebras, MSRI publications 43,

Cambridge University Press (2002) 117-166.

A. Joseph and G. Letzter, “Evaluation of the Quantum Affine PRV determinant”,

Mathematics Research Letters, Vol. 9 (2002) 307-322.

G. Letzter, “Quantum Symmetric Pairs and Their Zonal Spherical Functions”,

Transformation Groups, Vol. 8 (2003) no. 3, 261-292.

G. Letzter, “Quantum Zonal Spherical Functions and Macdonald Polynomials”,

Advances in Mathematics, Vol. 189 (2004) no. 1, 88-147.

G. Letzter, D. Farkas and L. Small, “Generalized Reductive Algebras and a Quantum Example”,

Pacific Journal of Mathematics, Vol. 221, No. 1, 29-48.

G. Letzter, “Invariant Differential Operators for Quantum Symmetric Spaces”,

Memoirs of the American Mathematical Society, to appear. (pdf version here)

Gail Letzter

Revision Date: December 2005