Results 1 to 10 of about 2,143,040 (330)
Categorified central extensions, étale Lie 2-groups and Lie's Third Theorem for locally exponential Lie algebras [PDF]
Adv. Math. 228 (2011) 2218-2257, 2008 Lie's Third Theorem, asserting that each finite-dimensional Lie algebra is the Lie algebra of a Lie group, fails in infinite dimensions. The modern account on this phenomenon is the integration problem for central extensions of infinite-dimensional Lie algebras, which in turn is phrased in terms of an integration procedure for Lie algebra cocycles ...
Agore +63 more
arxiv +4 more sources
Commutative post-Lie algebra structures on Lie algebras [PDF]
arXiv, 2015 We show that any CPA-structure (commutative post-Lie algebra structure) on a perfect Lie algebra is trivial. Furthermore we give a general decomposition of inner CPA-structures, and classify all CPA-structures on parabolic subalgebras of simple Lie algebras.
D. Burde, W. Moens
arxiv +3 more sources
On Z-gradations of twisted loop Lie algebras of complex simple Lie algebras [PDF]
Commun.Math.Phys. 267 (2006) 587-610, 2005 We define the twisted loop Lie algebra of a finite dimensional Lie algebra $\mathfrak g$ as the Fr\'echet space of all twisted periodic smooth mappings from $\mathbb R$ to $\mathfrak g$. Here the Lie algebra operation is continuous. We call such Lie algebras Fr\'echet Lie algebras. We introduce the notion of an integrable $\mathbb Z$-gradation of a Fr\'
A. Kriegl +12 more
arxiv +4 more sources
A note on the restricted universal enveloping algebra of a restricted Lie-Rinehart Algebra [PDF]
arXiv, 2015 Lie-Rinehart algebras, also known as Lie algebroids, give rise to Hopf algebroids by a universal enveloping algebra construction, much as the universal enveloping algebra of an ordinary Lie algebra gives a Hopf algebra, of infinite dimension. In finite characteristic, the universal enveloping algebra of a restricted Lie algebra admits a quotient Hopf ...
Schauenburg, Peter
arxiv +5 more sources
Quantum scars as embeddings of weakly broken Lie algebra representations [PDF]
Physical review B, 2020 Recently, much effort has focused on understanding weak ergodicity breaking in many-body quantum systems that could lead to wavefunction revivals in their dynamics far from equilibrium.
Kieran Bull +2 more
semanticscholar +1 more source
Lie-Algebra of Single-Valued Pentapartitioned Neutrosophic Set [PDF]
Neutrosophic Sets and Systems, 2022 In this article, we procure the concept of single-valued pentapartitioned neutrosophic Lie (in short SVPN-Lie) algebra under single-valued pentapartitioned neutrosophic set (in short SVPN-set) environment.
Suman Das +3 more
doaj +1 more source
Computations in finite-dimensional Lie algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 This paper describes progress made in context with the construction of a general library of Lie algebra algorithms, called ELIAS (Eindhoven Lie Algebra System), within the computer algebra package GAP.
A. M. Cohen, W. A. Graaf, L. Rónyai
doaj +3 more sources
A Left-Symmetric Structure on The Semi-Direct Sum Real Frobenius Lie Algebra of Dimension 8
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 Let be the Lie algebra of the semi-direct sum of the real vector space and the Lie algebra of the sets of all real matrices. In this paper, a Frobenius functional is constructed in order for the Lie algebra to be the real Frobenius Lie algebra of ...
Edi Kurniadi +2 more
doaj +1 more source
Induced 3-Lie algebras, superalgebras and induced representations [PDF]
Proceedings of the Estonian Academy of Sciences, 2020 We construct 3-Lie superalgebras on a commutative superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Lie algebras and superalgebras by means of a representation of initial (binary) Lie algebra ...
Viktor Abramov, Priit Lätt
doaj +1 more source
3-Derivations and 3-Automorphisms on Lie Algebras
Mathematics, 2022 In this paper, first we establish the explicit relation between 3-derivations and 3- automorphisms of a Lie algebra using the differential and exponential map.
Haobo Xia
doaj +1 more source