Flags, Quivers and Invariant Theory in Lie Representation Theory
A Network of the European Community program
Marie Curie Research Training Networks
J. Bernstein (Tel Aviv University)
M. Gorelik (Weizmann)
V. Hinich ( University of Haifa )
A. Joseph (Weizmann)
A. Melnikov (University of Haifa)
A. Reznikov (Bar-Ilan University)
Ph. D. Students:
The study of primitive spectrum of enveloping algebras and quantum groups particularly with respect to the construction of completely prime ideals, the determination of invariants such as Goldie rank and associated varieties.
The study of differential operators rings and their role in quantization.
The study of geometric objects associated to the orbit method, in particular orbital varieties, their inclusion relations and character formulae, ideals of definition particularly of orbital varieties and of B-orbits.
The use of crystal graphs to study representation theory of Kac-Moody algebras. In particularly the existence of Demazure flags and the structure of loop modules.
The study of KPRV determinants in the super, quantum and affine cases.
The determinantion of semiinvariants in the symmetric algebras of parabolic subalgebras and their maximal Poisson commutative subalgebras.
The study of invariant functionals on automorphic representations and of adelic variants of Frobenius reciprocity.
Winter Solstice Workshop December 28-29, 2004
Workshop on Representation Theory of Lie Algebraic Systems December 17-23, 2006Winter master Class on Enveloping Algebras and Related Topics December 17-23, 2006
Seminars and Courses
Lie algebras, their representations and crystals (PS file), A. Joseph, Spring 2004
An introductory course on braids (PS file) , F. Deloup, Fall 2004
Selected topics in representation theory (PS file) , A. Joseph, Fall 2003
Introduction to representation theory , M. Gorelik, Fall 2004
Eigenslices for parabolic actions I, A. Joseph, June, 2005
Eigenslices for parabolic actions II, A. Joseph, June, 2005
Invariants and Slices for reductive and biparabolic coadjoint actions, A. Joseph, January, 2009
Doctoral and Post-Doctoral positions
Two post-doctoral positions for 6 months at roughly 2000$ per month in local currency are available.
In addition the Feinberg School at the Weizmann Institute supports both doctoral and post-doctoral positions.
last update: 5/1/05