On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations
نویسندگان
چکیده
In this paper, we have introduced the category of 2-quasi crossed modules for Lie algebras and constructed a pair adjoint functors between that 2-crossed algebras.
منابع مشابه
On Lie algebra crossed modules
The goal of this article is to construct a crossed module representing the cocycle 〈[, ], 〉 generating H(g; C) for a simple complex Lie algebra g.
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In this paper, we construct a neat description of the passage from crossed squares of commutative algebras to 2-crossed modules analogous to that given by Conduché in the group case. We also give an analogue, for commutative algebra, of T.Porter’s [13] simplicial groups to n-cubes of groups which implies an inverse functor to Conduché’s one.
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متن کاملKoszul Duality for Modules over Lie Algebras
Let g be a reductive Lie algebra over a field of characteristic zero. Suppose that g acts on a complex of vector spaces M by iλ and Lλ, which satisfy the same identities that contraction and Lie derivative do for differential forms. Out of this data one defines the cohomology of the invariants and the equivariant cohomology of M. We establish Koszul duality between them.
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ژورنال
عنوان ژورنال: Ikonion journal of mathematics
سال: 2022
ISSN: ['2687-6531']
DOI: https://doi.org/10.54286/ikjm.1089611