Explicit Bracket in an Exceptional Simple Lie Superalgebra
1998 ◽
Vol 08
(04)
◽
pp. 479-495
◽
Keyword(s):
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.
1991 ◽
Vol 11
(3)
◽
pp. 443-454
◽
2008 ◽
Vol 2008
◽
pp. 1-9
Keyword(s):
2005 ◽
Vol 04
(01)
◽
pp. 15-57
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2003 ◽
Vol 44
(3)
◽
pp. 1173-1182
◽
1999 ◽
Vol 33
(3)
◽
pp. 208-219
◽
1992 ◽
Vol 07
(20)
◽
pp. 4885-4898
◽