AbstractIn the two papers, “On Herstein's Lie Map Conjectures, I and II,” solutions of all of Herstein's problems concerning Lie isomorphisms and derivations were given under the assumption that the algebras involved were of “sufficiently high” dimension. In the present paper we remove this restriction, thereby solving Herstein's problems in full generality
We’ll now start the study of arbitrary irreducible representations of higher rank compact Lie groups...
AbstractWe prove a fundamental case of a conjecture of the first author which expresses the homology...
Let g (resp. g′) be a Lie algebra of dimension d ≤ 3 (resp. of finite dimension) over a field k of c...
AbstractThe theory of functional identities is used to study derivations of Lie algebras arising fro...
Hussain, Yau, and Zuo introduced the Lie algebra Lk(V) from the derivation of the local algebra Mk(V...
Over $\mathbb{C}$, Montgomery superized Herstein's construction of simple Lie algebras from finite-d...
Let ℒ be an n-dimensional restricted Lie algebra over an algebraically closed field K of characteris...
An element x of a Lie algebra L over the field F is extremal if [. x, [. x, L]] = Fx. Under minor as...
Poguntke D. The theorem of Lie and hyperplane subalgebras of Lie algebras. Geometriae Dedicata. 1992...
Let h ⊂ g be an inclusion of Lie algebras with quotient h-module n. There is a natural degree filtra...
This book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It ai...
In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main...
In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main...
AbstractWe establish some results about large restricted Lie algebras similar to those known in the ...
The paper presents the complete classification of Automorphic Lie Algebras based on (Formula present...
We’ll now start the study of arbitrary irreducible representations of higher rank compact Lie groups...
AbstractWe prove a fundamental case of a conjecture of the first author which expresses the homology...
Let g (resp. g′) be a Lie algebra of dimension d ≤ 3 (resp. of finite dimension) over a field k of c...
AbstractThe theory of functional identities is used to study derivations of Lie algebras arising fro...
Hussain, Yau, and Zuo introduced the Lie algebra Lk(V) from the derivation of the local algebra Mk(V...
Over $\mathbb{C}$, Montgomery superized Herstein's construction of simple Lie algebras from finite-d...
Let ℒ be an n-dimensional restricted Lie algebra over an algebraically closed field K of characteris...
An element x of a Lie algebra L over the field F is extremal if [. x, [. x, L]] = Fx. Under minor as...
Poguntke D. The theorem of Lie and hyperplane subalgebras of Lie algebras. Geometriae Dedicata. 1992...
Let h ⊂ g be an inclusion of Lie algebras with quotient h-module n. There is a natural degree filtra...
This book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It ai...
In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main...
In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main...
AbstractWe establish some results about large restricted Lie algebras similar to those known in the ...
The paper presents the complete classification of Automorphic Lie Algebras based on (Formula present...
We’ll now start the study of arbitrary irreducible representations of higher rank compact Lie groups...
AbstractWe prove a fundamental case of a conjecture of the first author which expresses the homology...
Let g (resp. g′) be a Lie algebra of dimension d ≤ 3 (resp. of finite dimension) over a field k of c...