- Lie
superalgebra is a
generalisation of a Lie
algebra to
include a Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} } ‑grading. Lie
superalgebras are...
-
internal Hom of
above for this space. Lie
superalgebras are a
graded analog of Lie algebras. Lie
superalgebras are
nonunital and non****ociative; however...
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supergraded Lie
superalgebra is a
further generalization of this
notion to the
category of
superalgebras in
which a
graded Lie
superalgebra is
endowed with...
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Poisson superalgebra is a Z2-graded
generalization of a
Poisson algebra. Specifically, a
Poisson superalgebra is an (****ociative)
superalgebra A together...
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Victor G (1977), "classification of
simple Z-graded Lie
superalgebras and
simple Jordan superalgebras",
Communications in Algebra, 5 (13): 1375–1400, doi:10...
- of
representation theory, a
representation of a Lie
superalgebra is an
action of Lie
superalgebra L on a Z2-graded
vector space V, such that if A and...
-
Grigorievich (1977). "classification of
Simple Z-Graded Lie
Superalgebras and
Simple Jordan Superalgebras".
Communications in Algebra. 5 (13).
Taylor & Francis:...
- In mathematics, a
supercommutative (****ociative)
algebra is a
superalgebra (i.e. a Z2-graded algebra) such that for any two
homogeneous elements x, y we...
- (7): 197, doi:10.1155/S1073792893000212 Xu,
Xiaoping (1998),
Introduction to
vertex operator superalgebras and
their modules, Springer, ISBN 079235242-4...
-
interesting examples. It is also
possible to
extend the
definition to
superalgebras. A
generalized Kac–Moody
algebra can be
graded by
giving ei
degree 1...
