This paper is devoted to a detailed study of certain remarkable posets which form a natural partition of all abelian ideals of a Borel subalgebra. Our main result is a nice uniform formula for the dimension of maximal ideals in these posets. We also obtain results on ad-nilpotent ideals which complete the analysis started in (J. Algebra 225 (2000) 130, 258 (2002) 112). (C) 2003 Elsevier Inc. All rights reserved
We provide a formula affording the number of ad-nilpotent ideals of a Borel subalgebra of sl(n + 1, ...
In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensi...
Abstract. We consider path ideals associated to special classes of posets such as tree posets and cy...
AbstractThis paper is devoted to a detailed study of certain remarkable posets which form a natural ...
Elaborating on a paper of Suter, we provide a detailed description of the automorphism group of the ...
AbstractWe extend the results of Cellini and Papi [P. Cellini, P. Papi, Ad-nilpotent ideals of a Bor...
Let $\mathfrak{g}$ be a complex simple Lie algebra and $\mathfrak{b}$ a fixed Borel subalgebra of $\...
The goal of this paper is to extend some previous results on abelian ideals of Borel subalgebras to ...
We study the maximal abelian ad-nilpotent (mad) subalgebras of the domains D Morita equivalent to th...
AbstractWe study the maximal abelian ad-nilpotent (mad) subalgebras of the domains D Morita equivale...
AbstractWe provide an explicit bijection between the ad-nilpotent ideals of a Borel subalgebra of a ...
Let g be a simple Lie algebra, b a fixed Borel subalgebra, R the corresponding root system and W the...
AbstractWe study certain types of ideals in the standard Borel subalgebra of an untwisted affine Lie...
Let g=g0⊕g1 be a ℤ2-graded Lie algebra. We study the posets of abelian subalgebras of g1 which are s...
AbstractWe study Abelian ideals of a Borel subalgebra consisting of long roots. It is shown that met...
We provide a formula affording the number of ad-nilpotent ideals of a Borel subalgebra of sl(n + 1, ...
In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensi...
Abstract. We consider path ideals associated to special classes of posets such as tree posets and cy...
AbstractThis paper is devoted to a detailed study of certain remarkable posets which form a natural ...
Elaborating on a paper of Suter, we provide a detailed description of the automorphism group of the ...
AbstractWe extend the results of Cellini and Papi [P. Cellini, P. Papi, Ad-nilpotent ideals of a Bor...
Let $\mathfrak{g}$ be a complex simple Lie algebra and $\mathfrak{b}$ a fixed Borel subalgebra of $\...
The goal of this paper is to extend some previous results on abelian ideals of Borel subalgebras to ...
We study the maximal abelian ad-nilpotent (mad) subalgebras of the domains D Morita equivalent to th...
AbstractWe study the maximal abelian ad-nilpotent (mad) subalgebras of the domains D Morita equivale...
AbstractWe provide an explicit bijection between the ad-nilpotent ideals of a Borel subalgebra of a ...
Let g be a simple Lie algebra, b a fixed Borel subalgebra, R the corresponding root system and W the...
AbstractWe study certain types of ideals in the standard Borel subalgebra of an untwisted affine Lie...
Let g=g0⊕g1 be a ℤ2-graded Lie algebra. We study the posets of abelian subalgebras of g1 which are s...
AbstractWe study Abelian ideals of a Borel subalgebra consisting of long roots. It is shown that met...
We provide a formula affording the number of ad-nilpotent ideals of a Borel subalgebra of sl(n + 1, ...
In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensi...
Abstract. We consider path ideals associated to special classes of posets such as tree posets and cy...
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