Vector fields on Pi-symmetric flag supermanifolds

Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/37561

Type:	Artigo de Periódico
Title:	Vector fields on Pi-symmetric flag supermanifolds
Authors:	Elizaveta Vishnyakova
Abstract:	The main result of this paper is the computation of the Lie superalgebras of holomorphic vector fields on the complex Pi-symmetric flag supermanifolds, introduced by Yu. I.Manin.We prove that with one exception any vector field is fundamental with respect to the natural action of the Lie superalgebra qn (C).
Abstract:	O principal resultado deste trabalho é o cálculo das superálgebras de Lie de campos vetoriais holomórficos nas supervariedades com sinalizadores simétricos Pi complexas, introduzidas por Yu. I.Manin. Provamos que, com uma exceção, qualquer campo vetorial é fundamental no que diz respeito à ação natural da superálgebra de Lie qn (C).
Subject:	Supervariedades (Matematica) Campos vetoriais Lie, Superálgebras de
language:	eng
metadata.dc.publisher.country:	Brasil
Publisher:	Universidade Federal de Minas Gerais
Publisher Initials:	UFMG
metadata.dc.publisher.department:	ICX - DEPARTAMENTO DE MATEMÁTICA
Rights:	Acesso Restrito
metadata.dc.identifier.doi:	https://doi.org/10.1007/s40863-015-0008-2
URI:	http://hdl.handle.net/1843/37561
Issue Date:	Jun-2016
metadata.dc.url.externa:	https://link.springer.com/article/10.1007/s40863-015-0008-2
metadata.dc.relation.ispartof:	São Paulo Journal of Mathematical Sciences
Appears in Collections:	Artigo de Periódico

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