AbstractIn this paper we study ad-nilpotent ideals of a complex simple Lie algebra g and their connections with affine Weyl groups and nilpotent orbits. We define a left equivalence relation for ad-nilpotent ideals based on their normalizer and generators, and prove that the equivalence relation corresponds to Lusztig's star operation for simply laced algebraic group G
AbstractWe study certain types of ideals in the standard Borel subalgebra of an untwisted affine Lie...
In the paper, an analog of the Engel theorem for graded algebras admitting a Lie-type module is prov...
We consider a complex simple Lie algebra ...
AbstractIn this paper we study ad-nilpotent ideals of a complex simple Lie algebra g and their conne...
Abstract. An equivalence relation is defined and studied on the set of B-stable ideals in the nilrad...
An equivalence relation is defined and studied on the set of $B$-stable ideals in the nilradical of ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.This electronic v...
This thesis deals with structures found in semisimple Lie algebras called B-stable ideals. We develo...
AbstractWe extend the results of Cellini and Papi [P. Cellini, P. Papi, Ad-nilpotent ideals of a Bor...
AbstractLet b be a Borel subalgebra of a complex simple Lie algebra g. An ideal c⊂b is called ad-nil...
AbstractLet G be a simple algebraic group over k=C, or F¯p where p is good. Set g=LieG. Given r∈N an...
Let G be a simple algebraic group over k = ℂ, or F̄p where p is good. Set g = Lie G. Given r ∈ ℕ and...
AbstractFix a simple complex Lie algebra g, not of type G2, F4, or E8. Let Ōmin denote the Zariski c...
Let $G$G be a connected simple algebraic group over the complex numbers and $B$B a Borel subgroup....
Abstract. The orbit method conjectures a close relationship between the set of irreducible unitary r...
AbstractWe study certain types of ideals in the standard Borel subalgebra of an untwisted affine Lie...
In the paper, an analog of the Engel theorem for graded algebras admitting a Lie-type module is prov...
We consider a complex simple Lie algebra ...
AbstractIn this paper we study ad-nilpotent ideals of a complex simple Lie algebra g and their conne...
Abstract. An equivalence relation is defined and studied on the set of B-stable ideals in the nilrad...
An equivalence relation is defined and studied on the set of $B$-stable ideals in the nilradical of ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.This electronic v...
This thesis deals with structures found in semisimple Lie algebras called B-stable ideals. We develo...
AbstractWe extend the results of Cellini and Papi [P. Cellini, P. Papi, Ad-nilpotent ideals of a Bor...
AbstractLet b be a Borel subalgebra of a complex simple Lie algebra g. An ideal c⊂b is called ad-nil...
AbstractLet G be a simple algebraic group over k=C, or F¯p where p is good. Set g=LieG. Given r∈N an...
Let G be a simple algebraic group over k = ℂ, or F̄p where p is good. Set g = Lie G. Given r ∈ ℕ and...
AbstractFix a simple complex Lie algebra g, not of type G2, F4, or E8. Let Ōmin denote the Zariski c...
Let $G$G be a connected simple algebraic group over the complex numbers and $B$B a Borel subgroup....
Abstract. The orbit method conjectures a close relationship between the set of irreducible unitary r...
AbstractWe study certain types of ideals in the standard Borel subalgebra of an untwisted affine Lie...
In the paper, an analog of the Engel theorem for graded algebras admitting a Lie-type module is prov...
We consider a complex simple Lie algebra ...
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