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Nilradicals of parabolic subalgebras admitting symplectic structures

Cagliero, Leandro Roberto et al · Elsevier Science · 2016

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Author / responsible party
Cagliero, Leandro Roberto et al
Publisher
Elsevier Science
Year
2016
ISSN
0926-2245
ISSN
0926-2245
Language
English

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In this paper we describe all the nilradicals of parabolic subalgebras of split real simple Lie algebras admitting symplectic structures.The main tools used to obtain this list are Kostant's description of the highest weight vectors (hwv) of the cohomology of these nilradicals and some necessary conditions obtained for the g-hwv's of H2(n) for a finite dimensional real symplectic nilpotent Lie algebra n with a reductive Lie subalgebra of derivations g acting on it. Fil: Cagliero, Leandro Roberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina Fil: del Barco, Viviana Jorgelina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina

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APA 7

Cagliero, L. R. E. A. (2016). Nilradicals of parabolic subalgebras admitting symplectic structures. http://hdl.handle.net/11336/52647

MLA

Cagliero, Leandro Roberto et al. "Nilradicals of parabolic subalgebras admitting symplectic structures." 2016. http://hdl.handle.net/11336/52647.

Chicago

Cagliero, Leandro Roberto et al. 2016. "Nilradicals of parabolic subalgebras admitting symplectic structures.". http://hdl.handle.net/11336/52647.

Harvard

Cagliero, L. R. E. A. 2016, Nilradicals of parabolic subalgebras admitting symplectic structures, Elsevier Science, available at: http://hdl.handle.net/11336/52647 [Accessed 8 Aug. 2026].

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Title
Nilradicals of parabolic subalgebras admitting symplectic structures
Author / contributors
Cagliero, Leandro Roberto et al
Publisher
Elsevier Science
Publication year
2016
ISSN
0926-2245
ISSN
0926-2245
Language
English

Subjects

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Nilpotent Lie Algebras; Nilradicals of Parabolic Subalgebras; Symplectic Structures; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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