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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Vector fields on gl(m vertical bar n)(C)-flag supermanifolds

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Author(s):
Vishnyakova, E. G. [1, 2]
Total Authors: 1
Affiliation:
[1] Univ Sao Paulo, BR-05508 Sao Paulo - Brazil
[2] Max Planck Inst Math, Gottfried Claren Str 26, D-53111 Bonn - Germany
Total Affiliations: 2
Document type: Journal article
Source: Journal of Algebra; v. 459, p. 1-28, AUG 1 2016.
Web of Science Citations: 2
Abstract

The main result of this paper is the computation of the Lie superalgebras of holomorphic vector fields on complex flag supermanifolds, introduced by Yu.I. Manin. We prove that with several exceptions any holomorphic vector field is fundamental with respect to the natural action of the Lie superalgebra gl(m vertical bar n) (C). (C) 2016 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 14/09310-5 - Algebraic structures and their representations
Grantee:Vyacheslav Futorny
Support Opportunities: Research Projects - Thematic Grants