Results 41 to 50 of about 1,969,963 (254)
The Lie algebra of a Lie algebroid [PDF]
Banach Center Publications, 2001 8 ...
Janusz Grabowski, Katarzyna Grabowska
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Further Results on Elementary Lie Algebras and Lie A-Algebras [PDF]
Communications in Algebra, 2013 A finite-dimensional Lie algebra $L$ over a field $F$ of characteristic zero is called elementary if each of its subalgebras has trivial Frattini ideal; it is an $A$-algebra if every nilpotent subalgebra is abelian. This paper is a continuation of the study of these algebras initiated by the authors in `Elementary Lie Algebras and Lie A-algebras', J ...
Towers, David A., Varea, Vicente R.
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Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra
Mathematics, 2023 The rank two Heisenberg–Virasoro algebra can be viewed as a generalization of the twisted Heisenberg–Virasoro algebra. Lie bialgebras play an important role in searching for solutions of quantum Yang–Baxter equations.
Yihong Su, Xue Chen
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A Note on the Schur Multiplier of a Nilpotent Lie Algebra [PDF]
, 2010 For a nilpotent Lie algebra L of dimension n and dim (L 2) = m ≥ 1, we find the upper bound , where M(L) denotes the Schur multiplier of L. In case m = 1, the equality holds if and only if L ≅ H(1) ⊕ A, where A is an abelian Lie algebra of dimension n ...
P. Niroomand, F. Russo
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Journal of Physics A: Mathematical and Theoretical, 2020 We define a supersymmetric quantum mechanics of fermions that take values in a simple Lie algebra. We summarize what is known about the spectrum and eigenspaces of the Laplacian which corresponds to the Koszul differential d. Firstly, we concentrate on the zero eigenvalue eigenspace which coincides with the Lie algebra cohomology.
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Embedding of a Lie algebra into Lie-admissible algebras [PDF]
Proceedings of the American Mathematical Society, 1979 Let A be a flexible Lie-admissible algebra over a field of characteristic ≠ \ne 2, 3. Let S be a finite-dimensional classical Lie subalgebra of A − {A^ - } which is complemented by an ideal R of A − {A^ - } .
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Vertex algebras generated by Lie algebras [PDF]
, 1999 In this paper we introduce a notion of vertex Lie algebra U, in a way a "half" of vertex algebra structure sufficient to construct the corresponding local Lie algebra L(U) and a vertex algebra V(U).
Primc, Mirko
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Struktur Simplektik pada Aljabar Lie Affine aff(2,R)
Jambura Journal of MathematicsIn this research, we studied the affine Lie algebra aff(2,R). The aim of this research is to determine the 1-form in affine Lie algebra aff(2,R) which is associated with its symplectic structure so that affine Lie algebra aff(2,R) is a Frobenius Lie ...
Aurillya Queency +2 more
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Barekeng, 2022 A Frobenius Lie algebra is recognized as the Lie algebra whose stabilizer at a Frobenius functional is trivial. This condition is equivalent to the existence of a skew-symmetric bilinear form which is non-degenerate.
Edi Kurniadi
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Lie algebra of an n-Lie algebra
, 2013 We construct the Lie algebra of an n-Lie algebra and we also define the notion of cohomology of an n-Lie algebra.
Bossoto, Basile Guy Richard +2 more
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