Definition of Superalgebra. Meaning of Superalgebra. Synonyms of Superalgebra

Here you will find one or more explanations in English for the word Superalgebra. Also in the bottom left of the page several parts of wikipedia pages related to the word Superalgebra and, of course, Superalgebra synonyms and on the right images related to the word Superalgebra.

Definition of Superalgebra

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Meaning of Superalgebra from wikipedia

- In mathematics and theoretical physics, a superalgebra is a Z2-graded algebra. That is, it is an algebra over a commutative ring or field with a decomposition...
- 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...
- Poisson superalgebra is a Z2-graded generalization of a Poisson algebra. Specifically, a Poisson superalgebra is an (****ociative) superalgebra A together...
- 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...
- 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...
- supergraded Lie superalgebra is a further generalization of this notion to the category of superalgebras in which a graded Lie superalgebra is endowed with...
- then V is called a vertex operator superalgebra. One of the simplest examples is the vertex operator superalgebra generated by a single free fermion ψ...
- Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal algebra Supersymmetry...
- Victor G (1977), "classification of simple Z-graded Lie superalgebras and simple Jordan superalgebras", Communications in Algebra, 5 (13): 1375–1400, doi:10...
- purely algebraically as the universal enveloping algebra of the Lie superalgebra. In a similar way one can define an affine algebraic supergroup as a...