Explicit Bracket in an Exceptional Simple Lie Superalgebra-Reference-Cited by-同舟云学术

Explicit Bracket in an Exceptional Simple Lie Superalgebra

Published:1998-08 Issue:04 Volume:08 Page:479-495
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Shchepochkina Irina¹,Post Gerhard²

Affiliation:

1. Correspondence: c/o D. Leites, Department of Mathematics, University of Stockholm, Roslagsv, 101, Kräftriket hus 6, S-106 91, Stockholm, Sweden

2. Department of Applied Mathematics, University Twente, P.O. Box 217, AE Enschede, The Netherlands

Abstract

This note is devoted to a more detailed description of one of the five simple exceptional Lie superalgebras of vector fields, [Formula: see text] a subalgebra of [Formula: see text]. We derive differential equations for its elements, and solve these equations. Hence we get an exact form for the elements of [Formula: see text]. Moreover we realize [Formula: see text] by "glued" pairs of generating functions on a (3∣3)-dimensional periplectic (odd symplectic) supermanifold and describe the bracket explicitly.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196798000235

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