Results 31 to 40 of about 1,737,526 (356)

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

Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra [PDF]

, 2011
We determine the abelianizations of the following three kinds of graded Lie algebras in certain stable ranges: derivations of the free associative algebra, derivations of the free Lie algebra and symplectic derivations of the free associative algebra. In
S. Morita, Takuya Sakasai, Masaaki Suzuki   +2 more
semanticscholar   +1 more source

Post-Lie algebra structures and generalized derivations of semisimple Lie algebras [PDF]

, 2011
We study post-Lie algebra structures on pairs of Lie algebras (g,n), and prove existence results for the case that one of the Lie algebras is semisimple.
D. Burde, K. Dekimpe
semanticscholar   +1 more source

Lie Algebra Multiplicities [PDF]

Proceedings of the American Mathematical Society, 1979
Exact formulas for root space multiplicities in Cartan matrix Lie algebras and their universal enveloping algebras are computed. We go on to determine the number of free generators of each degree of the radicals defining these algebras.
Berman, Stephen, Moody, Robert V.
openaire   +1 more source

PostLie algebra structures on the Lie algebra sl(2,C) [PDF]

, 2011
The PostLie algebra is an enriched structure of the Lie algebra that has recently arisen from operadic study. It is closely related to pre-Lie algebra, Rota-Baxter algebra, dendriform trialgebra, modified classical Yang-Baxter equations and integrable ...
Yu Pan, Qing Liu, C. Bai, Li Guo
semanticscholar   +1 more source

Braiding via geometric Lie algebra actions [PDF]

Compositio Mathematica, 2010
We introduce the idea of a geometric categorical Lie algebra action on derived categories of coherent sheaves. The main result is that such an action induces an action of the braid group associated to the Lie algebra.
Sabin Cautis, J. Kamnitzer
semanticscholar   +1 more source

Nilpotent Lie algebras of derivations with the center of small corank

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi, L.Z. Mashchenko, A.P. Petravchuk   +2 more
doaj   +1 more source

Finitary Lie algebras

Journal of Algebra, 2002
A Lie algebra is called finitary if it consists of finite-rank linear transformations of a vector space. The authors classify all infinite-dimensional finitary simple Lie algebras over an algebraically closed field of characteristic not 2 or 3. They also do the same for finitary irreducible Lie algebras.
Baranov, A.A., Strade, H.
openaire   +2 more sources

Struktur Simplektik pada Aljabar Lie Affine aff(2,R)

Jambura Journal of Mathematics
In 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, Edi Kurniadi, Firdaniza Firdaniza   +2 more
doaj   +1 more source

Characterizations of Lie n-Centralizers on Certain Trivial Extension Algebras

Journal of Mathematics, 2023
In this paper, we describe the structure of Lie n-centralizers of a trivial extension algebra. We then present some conditions under which a Lie n-centralizer on a trivial extension algebra is proper.
Xiaokui Li, He Yuan, Qian Zhang
doaj   +1 more source