Results 1 to 10 of about 19,149 (335)
On (semi)topology L-algebras [PDF]
Categories and General Algebraic Structures with Applications, 2023 Here, we define (semi)topological L-algebras and some related results are approved. Then we deduce conditions that mention an L-algebra to be a semi-topological or a topological L-algebra and we check some attributes of them.
Mona Aaly Kologani
doaj +3 more sources
From Hopf Algebra to Braided L∞-Algebra [PDF]
Universe, 2022 We show that an L∞-algebra can be extended to a graded Hopf algebra with a codifferential. Then, we twist this extended L∞-algebra with a Drinfel’d twist, simultaneously twisting its modules.
Clay James Grewcoe +3 more
doaj +2 more sources
On the structure of quantum L∞ algebras [PDF]
Journal of High Energy Physics, 2017 It is believed that any classical gauge symmetry gives rise to an L∞ algebra. Based on the recently realized relation between classical W $$ \mathcal{W} $$ algebras and L∞ algebras, we analyze how this generalizes to the quantum case.
Ralph Blumenhagen +2 more
doaj +2 more sources
On the derivations of cyclic Leibniz algebras
Karpatsʹkì Matematičnì Publìkacìï, 2022 Let $L$ be an algebra over a field $F$. Then $L$ is called a left Leibniz algebra, if its multiplication operation $[-,-]$ additionally satisfies the so-called left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. A linear
M.M. Semko, L.V. Skaskiv, O.A. Yarovaya
doaj +1 more source
On the derivations of Leibniz algebras of low dimension
Доповiдi Нацiональної академiї наук України, 2023 Let L be an algebra over a field F. Then L is called a left Leibniz algebra if its multiplication operations [×, ×] addition- ally satisfy the so-called left Leibniz identity: [[a,b],c] = [a,[b,c]] – [b,[a,c]] for all elements a, b, c Î L. In this paper,
L.A. Kurdachenko +2 more
doaj +1 more source
The Structure of the Block Code Generated by a BL-Algebra
Mathematics, 2022 Inspired by the concept of BL-algebra as an important part of the ordered algebra, in this paper we investigate the binary block code generated by an arbitrary BL-algebra and study related properties.
Hashem Bordbar
doaj +1 more source
q-deformation of corner vertex operator algebras by Miura transformation
Journal of High Energy Physics, 2021 Recently, Gaiotto and Rapcak proposed a generalization of W N algebra by considering the symmetry at the corner of the brane intersection (corner vertex operator algebra).
Koichi Harada +3 more
doaj +1 more source
Description of the automorphism groups of some Leibniz algebras
Researches in Mathematics, 2023 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$.
L.A. Kurdachenko, O.O. Pypka, M.M. Semko
doaj +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 +2 more
doaj +1 more source
Structure of blocks with normal defect and abelian $p'$ inertial quotient
Forum of Mathematics, Sigma, 2023 Let k be an algebraically closed field of prime characteristic p. Let $kGe$ be a block of a group algebra of a finite group G, with normal defect group P and abelian $p'$ inertial quotient L.
David Benson +2 more
doaj +1 more source