Results 1 to 10 of about 541 (254)
Journal of Algebra, 1989 Let U be a universal differential field with a finite set of commuting differential operators and field of constants K. An (affine) differential algebraic group is defined by polynomial differential equations and its group operations are differential rational maps. The theory is much harder than the corresponding algebraic group theory. For example, it
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On 4-dimensional Einsteinian manifolds with parallel null distribution [PDF]
ریاضی و جامعه, 2023 In this paper, we investigate the Einsteinian manifolds with parallel null distribution. For this purpose, we first obtain the equations, which are known as Einstein's equations, that lead to finding the mentioned manifolds and then, we reduce Einstein's
Mehdi Jafari
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Differential forms and Lie algebra cohomology for algebraic linear groups [PDF]
Illinois Journal of Mathematics, 1962 In the study of the rational cohomology theory of algebraic linear groups, the differential forms, constructed from the algebra of the rational representative functions on the group, play a major role in providing the link between the group cohomology and the Lie algebra cohomology [5].
Hochschild, G., Kostant, B.
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Characteristics of General Linear Group of Order 2 as Lie Group and Lie Algebra
Dhaka University Journal of Science, 2023 The main target of this article is to study about Lie Groups, Lie Algebras. This article will enrich our knowledge about Algebraic properties of manifolds, how Lie Groups and Lie Algebras are working with their properties. Finally, we have discussed an example by showing all the properties of Lie Algebra,Lie Groups for a special Group and a Theorem has
Md Shapan Miah +2 more
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Groups, Special Functions and Rigged Hilbert Spaces
Axioms, 2019 We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that they are aspects of the same mathematical reality.
Enrico Celeghini +2 more
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Study of Graded Algebras and General Linear Group with Lie Superalgebras and R-Algebra
Dhaka University Journal of Science, 2020 Some elements of theory of Z2 graded rings, modules and algebras. Z2-graded tensor algebra, Lie superalgrbras and matrices with entries in a Z2-graded commutative ring are treated in our present paper. At last a Theorem 4.4.on the set of square matrices in the graded R-algebra , MR-[m I n] is established. Dhaka Univ. J. Sci.
Salma Nasrin +4 more
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Symplectic, Orthogonal and Linear Lie Groups in Clifford Algebra [PDF]
Advances in Applied Clifford Algebras, 2014 In this paper we prove isomorphisms between 5 Lie groups (of arbitrary dimension and fixed signatures) in Clifford algebra and classical matrix Lie groups - symplectic, orthogonal and linear groups. Also we obtain isomorphisms of corresponding Lie algebras.
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On Poisson (2-3)-algebras which are finite-dimensional over the center
Researches in MathematicsOne of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite, then its derived subgroup $[G,G]$ is also finite.
P.Ye. Minaiev +2 more
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Spinor representation of Lie algebra for complete linear group
, 2004 Proceedings of the Fifth International Conference "Symmetry in Nonlinear Mathematical Physics", Kyiv ...
Usenko, C. V., Lev, B. I.
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Extended affine Lie algebras, affine vertex algebras, and general linear groups
Representation TheoryIn this paper, we explore natural connections among the representations of the extended affine Lie algebra
Chen, Fulin +3 more
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