Results 21 to 30 of about 519,562 (333)
Advances in Mathematics, 1984 AbstractThis paper defines a remarkable Lie algebra of infinite dimension and rank, and conjectures that it may be related to the Fischer-Griess Monster group.
L. Queen +3 more
openaire +1 more source
Color Lie algebras and Lie algebras of order F [PDF]
Journal of Generalized Lie Theory and Applications, 2009 The notion of color algebras is generalized to the class of F-ary algebras, and corresponding decoloration theorems are established. This is used to give a construction of colored structures by means of tensor products with Clifford-like algebras. It is moreover shown that color algebras admit realisations as q=0 quon algebras.
CAMPOAMOR-STURSBERG, R. +1 more
openaire +5 more sources
Post-Lie algebras in Regularity Structures
Forum of Mathematics, Sigma, 2023 In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra.
Yvain Bruned, Foivos Katsetsiadis
doaj +1 more source
All opinions are not equal: Toward a consensual approach to the development of drug policy
Australian Journal of Social Issues, Volume 57, Issue 4, Page 812-828, December 2022., 2022 Abstract Drug policy has been subjected to much scrutiny from different stakeholder groups who present sometimes very different opinions on solutions to address a problem. Reconciling such differences, that are underpinned by both anecdotal and empirical evidence, is a priority yet to be fully achieved.
Gabriel T. W. Wong, Matthew Manning
wiley +1 more source
Algebra of derivations of Lie algebras
Linear Algebra and its Applications, 2001 Junta de Andalucía FQM ...
Camacho Santana, Luisa María +2 more
openaire +3 more sources
Cohomology and deformations of compatible Hom-Lie algebras [PDF]
, 2022 In this paper, we consider compatible Hom-Lie algebras as a twisted version of compatible Lie algebras. Compatible Hom-Lie algebras are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-Lie algebras generalizing the recent work of Liu, Sheng and Bai.
arxiv +1 more source
Trigonometric Lie algebras, affine Lie algebras, and vertex algebras [PDF]
Advances in Mathematics, 2020 31 ...
Qing Wang, Haisheng Li, Shaobin Tan
openaire +3 more sources
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
doaj +1 more source
Universal enveloping Lie Rota-Baxter algebra of preLie and post-Lie algebras [PDF]
Algebra and Logic, vol. 58, p. 1-14 (2019), 2017 Universal enveloping Lie Rota-Baxter algebras of pre-Lie and post-Lie algebras are constructed. It is proved that the pairs of varieties (Lie Rota-Baxter algebras of zero weight,preLie algebras) and (Lie Rota-Baxter algebras of nonzero weight,post-Lie algebras) are PBW-pairs and the variety of Lie Rota-Baxter algebras is not Schreier.
arxiv +1 more source
Leibniz Algebras and Lie Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
Mason, G., Yamskulna, G.
openaire +5 more sources