CURRENT RESEARCH
Joint with Jay H. Beder (UW-Milwaukee)
Invariance of generalized wordlength patterns. PDF
Submitted for publication.
Stable Hilbert series of S(g)^K for
classical
groups. PDF
To Appear in the Journal of Algebra
Joint with Ian M. Musson
(UW-Milwaukee)
Invariant Differential Operators and FCR factors of Enveloping
algebras. PDF
To Appear in Communications in Algebra.
Joint with Gregg Zuckerman
(YALE)
1. Small semisimple subalgebras of semisimple Lie algebras. PDF
Paper To Appear in the proceedings for the Roger Howe 60th birthday
conference.
2. A generating function for Blattner's formula. PDF
To Appear in the Proceedings of the American Mathematical Society
Joint with Roger Howe (YALE)
and Eng-Chye Tan (National University of Singapore)
1. Stable Branching Rules for Classical Symmetric Pairs. PDF
Transactions of the AMS.
2. Reciprocity Algebras and Branching for Classical Symmetric Pairs. PDF
To Appear in the proceedings for the conference in honor of Hermann
Weyl.
3. A Basis for the GLn Tensor Product Algebra. PDF
Advances
in Mathematics.
4. The Stability of Graded Multiplicity in the Setting of the
Kostant-Rallis Theorem. PDF
To Appear in the Journal of Transformation Groups.
Joint with Thomas Enright
(UCSD):
1. Hilbert series, Howe duality and branching rules. PDF
Proceedings of the National Academy of
Sciences.
2. Hilbert series, Howe duality and branching rules for the classical
groups. PDF
Annals of Mathematics.
An Application of the
Littlewood Restriction Formula to the Kostant--Rallis Theorem. PDF
Transactions of the AMS.
A stable range for
dimensions of
homogeneous O(n)-invariant polynomials on the n x n matrices. PDF
Journal of
Algebra.
Joint with Nolan R. Wallach
(UCSD).
On Some q-Analogs of a Theorem of Kostant-Rallis. PDF
Canadian Journal of
Mathematics.