Results 31 to 40 of about 530,171 (149)
Quasi-Frobenius-Lusztig kernels for simple Lie algebras
Transactions of the American Mathematical Society, 2016 In the first author’s Math. Res. Lett. paper (2014), the quasi-Frobenius-Lusztig kernel associated with s l
Liu, Gongxiang +2 more
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Hom-O-Operators and Hom-Yang-Baxter Equations
Advances in Mathematical Physics, 2015 In Hom-Lie set, we introduce the concept of Hom-O-operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras.
Yuanyuan Chen, Liangyun Zhang
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On structural aspects of finite simple groups of Lie type [PDF]
, 2011 PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
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On groups and Lie algebras admitting a Frobenius group of automorphisms
Journal of Pure and Applied Algebra, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caldeira, Jhone +2 more
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Meander Graphs and Frobenius Seaweed Lie Algebras II [PDF]
Journal of Generalized Lie Theory and Applications, 2015 We provide a recursive classification of meander graphs, showing that each meander is identified by a unique sequence of fundamental graph theoretic moves. This sequence is called the meander’s signature and can be used to construct arbitrarily large sets of meanders, Frobenius or otherwise, of any size and configuration.
Coll, Vincent +3 more
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Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]
, 2006 We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J +8 more
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Lie algebras with Frobenius dihedral groups of automorphisms
Journal of Algebra, 2023 Suppose that a Lie algebra $L$ admits a finite Frobenius group of automorphisms $FH$ with cyclic kernel $F$ and complement $H$ of order 2, such that the fixed-point subalgebra of $F$ is trivial and the fixed-point subalgebra of $H$ is metabelian. Then the derived length of $L$ is bounded by a constant.
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Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2023 In this paper, we present a method of symplectic double extensions for restricted quasi-Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent obstructions to symplectic double extension, which we fully describe. We found a necessary condition for which a restricted quasi-Frobenius Lie superalgebras is a symplectic double ...
Bouarroudj, Sofiane +2 more
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On the Cohomology of Modules over Hopf Algebras [PDF]
, 1972 Let R be a commutative ring. Define an FH-algebra H to be a Hopf algebra and a Frobenius algebra over R with a Frobenius homomorphism ψ such that ∑(h) h(1) ψ(h(2)) = ψ(h) · 1 for all h ϵ H.
Pareigis, Bodo
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On extensions of Frobenius-Kähler and Sasakian Lie algebras
Journal of Algebra and Its Applications22 ...
Rodríguez-Vallarte, M. C. +2 more
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