Explicit bracket in the exceptional simple Lie superalgebra cvect(0|3)_*
Shchepochkina, Irina ; Post, Gerhard
arXiv, 9703022 / Harvested from arXiv
Text on arXiv
This note is devoted to a more detailed description of one of the five simple exceptional Lie superalgebras of vector fields, cvect(0|3)_*, a subalgebra of vect(4|3). We derive differential equations for its elements, and solve these equations. Hence we get an exact form for the elements of cvect(0|3)_*. Moreover we realize cvect(0|3)_* by "glued" pairs of generating functions on a (3|3)-dimensional periplectic (odd symplectic) supermanifold and describe the bracket explicitly.
Publié le : 1997-03-18
Classification:  Mathematical Physics 
@article{9703022,
     author = {Shchepochkina, Irina and Post, Gerhard},
     title = {Explicit bracket in the exceptional simple Lie superalgebra cvect(0|3)\_*},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9703022}
}

Shchepochkina, Irina; Post, Gerhard. Explicit bracket in the exceptional simple Lie superalgebra cvect(0|3)_*. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9703022/