AbstractWe describe the models of the exceptional Lie algebra F4 which are based on its semisimple subalgebras of rank 4. The underlying fact is that any reductive subalgebra of maximal rank of a simple Lie algebra induces a grading on this algebra by means of an abelian group, in such a way that the nontrivial components of the grading are irreducible modules
In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important...
This thesis is a resolution of three related problems proposed by Yu. I. Manin and V. Kac for the so...
AbstractWe discuss a method to construct reductive Lie-admissible algebras which is based on the con...
AbstractWe describe the models of the exceptional Lie algebra F4 which are based on its semisimple s...
The object of this paper is to classify (up to inner automorphism) the primitive, maximal rank, redu...
AbstractAlgorithms are described that help with obtaining a classification of the semisimple subalge...
The classical Tits construction provides models of the exceptional simple Lie algebras in terms of a...
AbstractThe concept of a graded Lie ring L is studied systematically. A grading of L is defined as a...
The classical Tits construction provides models of the exceptional simple Lie algebras in terms of a...
AbstractWe show that the algebra Der(L) of derivations of a strongly nondegenerate Lie algebra L gra...
Abstract. Let g be a semisimple complex Lie algebra and k ⊂ g be any algebraic subalgebra reductive ...
The oldest and best known grading on a (semisimple) Lie algebra is the root space decomposition with...
AbstractThis note is devoted to the construction of two very easy examples, of respective dimensions...
Abstract. We prove an explicit formula for the invariant µ(g) for finite-dimensional semisim-ple, an...
Finite-dimensional simple Lie superalgebras (also called ℤ2-graded Lie algebras) over an algebraical...
In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important...
This thesis is a resolution of three related problems proposed by Yu. I. Manin and V. Kac for the so...
AbstractWe discuss a method to construct reductive Lie-admissible algebras which is based on the con...
AbstractWe describe the models of the exceptional Lie algebra F4 which are based on its semisimple s...
The object of this paper is to classify (up to inner automorphism) the primitive, maximal rank, redu...
AbstractAlgorithms are described that help with obtaining a classification of the semisimple subalge...
The classical Tits construction provides models of the exceptional simple Lie algebras in terms of a...
AbstractThe concept of a graded Lie ring L is studied systematically. A grading of L is defined as a...
The classical Tits construction provides models of the exceptional simple Lie algebras in terms of a...
AbstractWe show that the algebra Der(L) of derivations of a strongly nondegenerate Lie algebra L gra...
Abstract. Let g be a semisimple complex Lie algebra and k ⊂ g be any algebraic subalgebra reductive ...
The oldest and best known grading on a (semisimple) Lie algebra is the root space decomposition with...
AbstractThis note is devoted to the construction of two very easy examples, of respective dimensions...
Abstract. We prove an explicit formula for the invariant µ(g) for finite-dimensional semisim-ple, an...
Finite-dimensional simple Lie superalgebras (also called ℤ2-graded Lie algebras) over an algebraical...
In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important...
This thesis is a resolution of three related problems proposed by Yu. I. Manin and V. Kac for the so...
AbstractWe discuss a method to construct reductive Lie-admissible algebras which is based on the con...
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