Rigidity of 2-Step Carnot Groups

Primer Autor
Godoy Molina, Mauricio
Co-autores
Kruglikov, Boris#Markina, Irina#Vasil'ev, Alexander
Título
Rigidity of 2-Step Carnot Groups
Editorial
SPRINGER
Revista
JOURNAL OF GEOMETRIC ANALYSIS
Lenguaje
en
Resumen
In the present paper, we study the rigidity of 2-step Carnot groups, or equivalently, of graded 2-step nilpotent Lie algebras. We prove the alternative that depending on bi-dimensions of the algebra, the Lie algebra structure makes it either always of infinite type or generically rigid, and we specify the bi-dimensions for each of the choices. Explicit criteria for rigidity of pseudo H- and J-type algebras are given. In particular, we establish the relation of the so-called J2-condition to rigidity, and we explore these conditions in relation to pseudo H-type algebras.
Tipo de Recurso
Artículo original
Description
The first author is partially supported by the Grants Anillo ACT 1415 PIA CONICYT and DI17-0147 from Universidad de La Frontera. The second author is grateful to the Mainz Institute for Theoretical Physics (MITP) for its hospitality and partial support during the conference GGSUSY-2017, where this work was reported and discussed. The third and fourth authors are partially supported by the Grants of the Norwegian Research Council #239033/F20 and EU FP7 IRSES program STREVCOMS, Grant No. PIRSES-GA-2013-612669.
El primer autor cuenta con el apoyo parcial de las Becas Anillo ACT 1415 PIA CONICYT y DI17-0147 de la Universidad de La Frontera. El segundo autor agradece al Instituto de Física Teórica de Maguncia (MITP) su hospitalidad y apoyo parcial durante la conferencia GGSUSY-2017, donde se presentó y discutió este trabajo. El tercer y cuarto autores cuentan con el apoyo parcial de las Becas del Consejo Noruego de Investigación n.° 239033/F20 y del programa IRSES del 7PM de la UE STREVCOMS, Beca n.° PIRSES-GA-2013-612669.
The first author is partially supported by the Grants Anillo ACT 1415 PIA CONICYT and DI17-0147 from Universidad de La Frontera. The second author is grateful to the Mainz Institute for Theoretical Physics (MITP) for its hospitality and partial support during the conference GGSUSY-2017, where this work was reported and discussed. The third and fourth authors are partially supported by the Grants of the Norwegian Research Council
239033/F20 and EU FP7 IRSES program STREVCOMS, Grant No. PIRSES-GA-2013-612669.
doi
10.1007/s12220-017-9875-3
Formato Recurso
pdf
Palabras Claves
Clifford algebra# Clifford module# Tanaka prolongation# Pseudo H-type algebra# J-type algebra# J(2)-condition# Rigidity
Ubicación del archivo
http://dx.doi.org/10.1007/s12220-017-9875-3
Categoría OCDE
Mathematics
Materias
álgebra de Clifford# Módulo Clifford# Prolongación de Tanaka# Pseudoálgebra tipo H# álgebra tipo J# condición J(2)# Rigidez
Disciplinas de la OCDE
Matemáticas Puras
Matemáticas Aplicadas
Otras Especialidades de Matemáticas
Id de Web of Science
WOS:000430878800028
Título de la cita (Recomendado-único)
Rigidity of 2-Step Carnot Groups
Identificador relacionado
arXiv:1603.00373v2
Identificador del recurso (Mandatado-único)
Artículo original
Versión del recurso (Recomendado-único)
version publicada
Editorial
SPRINGER
Revista/Libro
JOURNAL OF GEOMETRIC ANALYSIS
Categoría WOS
Matemáticas
ISSN
1050-6926
Idioma
en
Referencia del Financiador (Mandatado si es aplicable-repetible)
ANID ACT 1415 PIA#UFRO DI17-0147#orwegian Research Council 239033/F20#EU FP7 IRSES PIRSES-GA-2013-612669
ANID CONICYT ACT 1415 PIA
UFRO DI17-0147
Mainz Institute for Theoretical Physics (MITP)
Norwegian Research Council 239033/F20]
EU FP7 IRSES STREVCOMS PIRSES-GA-2013-612669
Descripción
The first author is partially supported by the Grants Anillo ACT 1415 PIA CONICYT and DI17-0147 from Universidad de La Frontera. The second author is grateful to the Mainz Institute for Theoretical Physics (MITP) for its hospitality and partial support during the conference GGSUSY-2017, where this work was reported and discussed. The third and fourth authors are partially supported by the Grants of the Norwegian Research Council #239033/F20 and EU FP7 IRSES program STREVCOMS, Grant No. PIRSES-GA-2013-612669.
Formato
pdf
Tipo de ruta
hibrida#verde
Access Rights
restringido
Derechos de acceso
restringido
Página de inicio (Recomendado-único)
1568
Página final (Recomendado-único)
1575
Colecciones
Colección Publicaciones Científicas
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