The index of nilpotent Lie algebras

Fuente: arXiv

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Detalles Bibliográficos
Autores principales:	Burde, Dietrich, Dekimpe, Karel
Formato:	Preprint
Publicado:	2025
Materias:	Representation Theory Rings and Algebras 17B30, 17B08
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

_version_	1866918018839216128
author	Burde, Dietrich Dekimpe, Karel
author_facet	Burde, Dietrich Dekimpe, Karel
contents	The index of a Lie algebra is an important invariant which arises in several areas, e.g. in the study of coadjoint orbits for a Lie group, in invariant theory and in representation theory. We study the index for several classes of nilpotent Lie algebras. In particular, we give explicit formulas for free-nilpotent Lie algebras of nilpotency class two and three, or of solvability class two, for graph Lie algebras, and for filiform nilpotent Lie algebras.
format	Preprint
id	arxiv_https___arxiv_org_abs_2505_08331
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	The index of nilpotent Lie algebras Burde, Dietrich Dekimpe, Karel Representation Theory Rings and Algebras 17B30, 17B08 The index of a Lie algebra is an important invariant which arises in several areas, e.g. in the study of coadjoint orbits for a Lie group, in invariant theory and in representation theory. We study the index for several classes of nilpotent Lie algebras. In particular, we give explicit formulas for free-nilpotent Lie algebras of nilpotency class two and three, or of solvability class two, for graph Lie algebras, and for filiform nilpotent Lie algebras.
title	The index of nilpotent Lie algebras
topic	Representation Theory Rings and Algebras 17B30, 17B08
url	https://arxiv.org/abs/2505.08331

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