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Journal of Algebra, ISSN 0021-8693, 01/2019, Volume 517, pp. 249 - 275
We classify finite dimensional Hm2(ζ)-simple Hm2(ζ)-module Lie algebras L over an algebraically closed field of characteristic 0 where Hm2(ζ) is the mth Taft... 
PI-exponent | Codimension | Taft algebra | Lie algebra | H-module algebra | Polynomial identity | MATHEMATICS | IDENTITIES | GROWTH | Algebra
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 06/2015, Volume 474, pp. 1 - 11
We prove that every 2-local derivation on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is a... 
Derivation | 2-Local derivation | Nilpotent algebra | Semi-simple Lie algebra | MSC 16W25 16W10 17B20 17B40 | MATHEMATICS | MATHEMATICS, APPLIED | LOCAL AUTOMORPHISMS | Algebra
Journal Article
Pacific Journal of Mathematics, ISSN 0030-8730, 09/2009, Volume 242, Issue 1, pp. 113 - 130
Journal Article
Forum Mathematicum, ISSN 0933-7741, 07/2018, Volume 30, Issue 4, pp. 1049 - 1060
In the present paper, right 2-Engel elements, central automorphisms and commuting automorphisms of Lie algebras will be studied. For this purpose, first the... 
17B01 | 17B40 | 17B30 | Lie algebras | 17B20 | central automorphisms | commuting automorphisms | right 2-Engel elements | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
São Paulo Journal of Mathematical Sciences, ISSN 1982-6907, 12/2019, Volume 13, Issue 2, pp. 597 - 614
We establish some connections between Lie rings, their derivation rings and generalized derivations rings. 
Lie ring | Lie FC -ring | 17B40 | Generalized derivation | 17B20 | Derivation | Mathematics, general | Mathematics
Journal Article
Science China Mathematics, ISSN 1674-7283, 11/2019, Volume 62, Issue 11, pp. 2355 - 2370
For a classical group G over a field F together with a finite-order automorphism θ that acts compatibly on F, we describe the fixed point subgroup of θ on G... 
11E39 | 17B40 | classical groups | Mathematics | semilinear automorphisms | Applications of Mathematics | quiver | 11E57 | Mathematics - Representation Theory
Journal Article
Forum Mathematicum, ISSN 0933-7741, 05/2017, Volume 29, Issue 3, pp. 555 - 562
Let be a simple Lie algebra. Let be the group of all automorphisms on , and let be its identity component. The outer automorphism group of is defined as . If... 
simple Lie algebra | Dynkin diagram | painted diagram | Outer automorphism group | 17B40 | 17B20 | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Experimental Mathematics, ISSN 1058-6458, 07/2018, Volume 27, Issue 3, pp. 302 - 315
We construct an abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra generated by the fundamental representation of . More... 
outer automorphism group | Primary 20F28 | symplectic derivations | Secondary 20J06, 17B40 | free group | MATHEMATICS | MODULI | RATIONAL HOMOLOGY | GRAPHS
Journal Article
Acta Mathematica Sinica, English Series, ISSN 1439-8516, 3/2019, Volume 35, Issue 3, pp. 427 - 437
Let G be a basic classical Lie superalgebra except A(n, n) and D(2, 1, α) over the complex number field ℂ. Using existence of a non-degenerate invariant... 
17A36 | 17B40 | 2-local automorphism | 17B20 | Mathematics, general | Basic classical Lie superalgebra | Mathematics | automorphism | MATHEMATICS | MATHEMATICS, APPLIED | DERIVATIONS | Automorphisms | Algebra | Mathematical analysis | Number theory | Lie groups
Journal Article
São Paulo Journal of Mathematical Sciences, ISSN 1982-6907, 12/2019, Volume 13, Issue 2, pp. 615 - 627
In this paper, we first determine all the super-skewsymmetric super-biderivations of the super- $$\mathrm{BMS}_{3}$$ BMS 3 algebra. In particular, we find that... 
17B68 | 17B40 | Linear super-commuting map | Super-skewsymmetric | Super-biderivation | Mathematics, general | Mathematics | 17B05 | Lie super-algebra
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2016, Volume 507, pp. 121 - 131
We prove that every 2-local automorphism on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is an... 
Automorphism | 2-Local automorphism | Nilpotent Lie algebra | Semi-simple Lie algebra | 17B40 | MSC 17A36 | 17B20 | MATHEMATICS, APPLIED | HOMOMORPHISMS | C-ASTERISK-ALGEBRAS | VON-NEUMANN-ALGEBRAS | MATHEMATICS | MAPS | TRIPLES | B(H) | LOCAL DERIVATIONS | Algebra
Journal Article
Aequationes mathematicae, ISSN 0001-9054, 2/2018, Volume 92, Issue 1, pp. 91 - 109
In this paper, we characterize super-biderivations of classical simple Lie superalgebras over the complex field $$\mathbb {C}$$ C . Furthermore, we prove that... 
17B66 | Linear super commuting maps | 17B40 | Analysis | 17B65 | Mathematics | Classical simple Lie superalgebras | Combinatorics | Super-biderivations | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | TRIANGULAR MATRIX-RINGS | LINEAR COMMUTING MAPS
Journal Article
Topological Algebra and its Applications, ISSN 2299-3231, 03/2018, Volume 6, Issue 1, pp. 43 - 52
We study algebraic properties of Poisson brackets on non-associative non-commutative algebras, compatible with their multiplicative structure. Special... 
17B40 | 17A36 | 17D99
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 12/2018, Volume 290, Issue 3, pp. 909 - 935
The pro-isomorphic zeta function $$\zeta ^\wedge _\Gamma (s)$$ ζΓ∧(s) of a finitely generated nilpotent group $$\Gamma $$ Γ is a Dirichlet generating function... 
Pro-isomorphic zeta function | Secondary 20E07 | 17B45 | 17B40 | Nilpotent group | Primary 11M41 | 20F18 | Mathematics, general | Mathematics | 20F69 | Local functional equation | MATHEMATICS | EQUATIONS | SUBGROUPS | Family
Journal Article
Frontiers of Mathematics in China, ISSN 1673-3452, 4/2019, Volume 14, Issue 2, pp. 395 - 420
This paper is devoted to study Frobenius Poisson algebras. We introduce pseudo-unimodular Poisson algebras by generalizing unimodular Poisson algebras, and... 
Batalin-Vilkovisky algebra | 16E40 | modular derivation | 17B40 | 17B63 | Poisson (co)homology | Mathematics, general | Mathematics | Poisson algebra | Frobenius algebra | MATHEMATICS | Operators (mathematics) | Homology | Polynomials | Algebra | Mathematical analysis | Modular structures
Journal Article
Glasgow Mathematical Journal, ISSN 0017-0895, 2013, Volume 55, Issue A, pp. 89 - 100
We study the automorphism group of the algebra O-q(M-n) of n x n generic quantum matrices. We provide evidence for our conjecture that this group is generated... 
20g42 | 16t20 | 17b40 | 16w20 | MATHEMATICS | Quantum theory | Algebra
Journal Article
Acta Universitatis Sapientiae, Mathematica, ISSN 1844-6094, 08/2017, Volume 9, Issue 1, pp. 176 - 184
Let 𝒜 be a Banach *-algebra. By 𝒮 we denote the set of all self-adjoint elements of 𝒜 and by 𝒪 we denote the set of those elements in 𝒜 which can be... 
(Jordan) derivation | 17B40 | pre-higher derivation | 47B48 | Banach -algebra | algebra | Pre-higher derivation | Banach
Journal Article
Czechoslovak Mathematical Journal, ISSN 0011-4642, 09/2018, Volume 68, Issue 3, pp. 661 - 675
Let (n) be a simple strange Lie superalgebra over the complex field a",. In a paper by A.Ayupov, K.Kudaybergenov (2016), the authors studied the local... 
superderivation | local superderivation | 17B40 | 17B20 | simple Lie superalgebra | 16W55 | VON-NEUMANN-ALGEBRAS | MATHEMATICS | MEASURABLE OPERATORS | DERIVATIONS | SUBALGEBRAS | Algebra
Journal Article
数学年刊:B辑英文版, ISSN 0252-9599, 2017, Volume 38, Issue 5, pp. 1059 - 1070
The CD inequalities are introduced to imply the gradient estimate of Laplace operator on graphs. This article is based on the unbounded Laplacians, and finally... 
无界 | 等价性 | CD | 梯度估计 | 不等式 | 拉普拉斯算子 | CD inequality | 17B40 | Unbounded Laplacian | Mathematics, general | Mathematics | Graph theory | Applications of Mathematics | 17B50 | MATHEMATICS | STOCHASTIC COMPLETENESS | CURVATURE
Journal Article
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