33 citations · 62 across the 7 of their papers we have counts for
7 papers
Cyclic elements in semisimple Lie algebras
A. G. Elashvili, V. G. Kac, E. B. Vinberg
A theory of cyclic elements in semisimple Lie algebras is developed. It is applied to an explicit construction of regular elements in Weyl groups.
An effective method to compute closure ordering for nilpotent orbits of -representations
W. A. de Graaf, E. B. Vinberg, O. S. Yakimova
We develop an algorithm for computing the closure of a given nilpotent -orbit in $\g_1$, where $\g_1$ and are coming from a or a -grading $\g= \bigoplus \g_…
A generalized Harish-Chandra isomorphism
Sergey Khoroshkin, Maxim Nazarov, Ernest Vinberg
For any complex reductive Lie algebra g and any locally finite g-module V, we extend to the tensor product of U(g) with V the Harish-Chandra description of g-invariants in the univ…
On exceptional nilpotents in semisimple Lie algebras
A. G. Elashvili, V. G. Kac, E. B. Vinberg
We classify all pairs (m,e), where m is a positive integer and e is a nilpotent element of a semisimple Lie algebra, which arise in the classification of simple rational W-algebras…
Complete families of commuting functions for coisotropic Hamiltonian actions
E. B. Vinberg, O. S. Yakimova
Let G be an algebraic group over a field F of characteristic zero, with Lie algebra g=Lie(G). The dual space g^* equipped with the Kirillov bracket is a Poisson variety and each ir…
Geometric invariant theory approach to the determination of ground states of D-wave condensates in isotropic space
Yu. M. Gufan, Al. V. Popov, G. Sartori +3
A complete and rigorous determination of the possible ground states for D-wave pairing Bose condensates is presented, using a geometrical invariant theory approach to the problem.…
Possible ground states of D-wave condensates in isotropic space
Yu. M. Gufan, Al. V. Popov, G. Sartori +3
A complete and rigorous determination of the possible ground states for D-wave pairing Bose condensates is presented. Using an orbit space approach to the problem, we find 15 allow…