We start by introducing the basic notions and definitions in the theory of Lie su- peralgebras, such as basic and queer Lie superalgebras, Cartan and Borel ...
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Apr 29, 2011 · Lie algebras are the linearisations of Lie groups and characterise the latter modulo topology. Page 5. Outline. Lie Algebras and Superalgebras.
Mar 15, 2021 · An affine Lie superalgebra is defined as the quotient of certain Lie superalgebra defined by generators and relations, corresponding to a symmetrizable ...
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Lie superalgebras are important in theoretical physics where they are used to describe the mathematics of supersymmetry. The notion of Z / 2 Z ...
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Mar 1, 2018 · The concept of a vague subeld and some of its fundamental properties are introduced. We then introduce the vague Lie subalgebra over a vague eld ...
In Chapter 6 we define the enveloping algebra U(k) of a Lie superalgebra k. The study of representations of k is equivalent to that of U(k), and techniques from ...
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Dec 21, 2020 · We study Chevalley-Eilenberg cohomology of physically relevant Lie superalgebras related to supersymmetric theories, providing explicit ...
The concept of a vague subeld and some of its fundamental properties are introduced. We then introduce the vague Lie subalgebra over a vague eld and present ...
May 29, 2023 · Lie superalgebras out of simple Lie algebras, and proved that every simple Lie superalgebra is obtained from a simple Lie algebra by one of ...
This book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras.