On ad-nilpotent \(b\)-ideals for orthogonal Lie algebras
type: Item
instance of: scholarly article
title: On ad-nilpotent \(b\)-ideals for orthogonal Lie algebras
zbMATH Open document ID: 1317.17009
author: Li Luo
author: Lili Liu
publication date: 2013-03-08T00:00:00Z
review text: In this paper, the authors extend the algorithmic procedure introduced in [\textit{C. Krattenthaler} et al., Adv. Appl. Math. 28, No. 3--4, 478--522 (2002; Zbl 1024.17003)] for the analysis of the number of ad-nilpotent ideals with fixed nilpotence class of Borel subalgebras to the case of orthogonal Lie algebras. For each of the two types, a generating function is obtained.
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 17B20
zbMATH DE Number: 6142970
zbMATH Keywords: orthogonal Lie algebra
zbMATH Keywords: Borel subalgebra
zbMATH Keywords: ad-nilpotent ideal
reviewed by: Rutwig Campoamor Stursberg
MaRDI profile type: Publication
full work available at URL: s10114-012-1599-5
OpenAlex ID: W2085648579
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cites work: Q4344657
DOI: 10.1007/S10114-012-1599-5
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6142970