Results 111 to 120 of about 460 (128)

Adjoint representations of exceptional Lie algebras

Theoretical and Mathematical Physics(Russian Federation), 1987
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Ol'shanetskij, M. A., Rogov, V.-B. K.
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A matrix Bernoulli equation in the adjoint matrix representation of simple three-dimensional Lie algebras

Russian Mathematics, 2009
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The algebra of polynomial invariants of the adjoint representation of the Lie superalgebra gl(m,n)

Communications in Algebra, 1997
Issai Kantor, Ivan Trishin
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The adjoint representation of a classical Lie algebra and the support of Kostant’s weight multiplicity formula

Electronic Journal of Combinatorics, 2016
Erik Insko, Pamela E Harris, Harris Pamela E   +2 more
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LIE ALGEBRAS WITH AN ALGEBRAIC ADJOINT REPRESENTATION

Mathematics of the USSR-Sbornik, 1984
An algebra R over a field K satisfies the property P locally, if P holds for every finitely generated subalgebra of R. A famous result of A. I. Kostrikin claims that every Lie algebra G satisfying the Engel condition g(ad h)\({}^ n=0\) for any g,\(h\in G\), is locally nilpotent if char K\(=0\) or char K\(=p>n\).
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On non self-adjoint representations of Lie algebras

Integral Equations and Operator Theory, 1983
We consider a method for constructing all non self-adjoint representations of a Lie algebra with the help of its irreducible representations. The method is based on imbedding of a representation in a more complicated object called a colligation. As an application we consider the case of two dimensional non-abelian Lie algebra.
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Cohomology of graded lie algebras of maximal class with coefficients in the adjoint representation

Proceedings of the Steklov Institute of Mathematics, 2008
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Invariants of the co-adjoint representation for Lie algebras of a special form

Russian Mathematical Surveys, 1996
An analytic function on the dual space of a Lie algebra is an invariant of the coadjoint representation provided that some conditions are fulfilled. This paper presents necessary and sufficient conditions.
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On the first Cartan extensions of the adjoint representation of a simple Lie algebra

Russian Mathematical Surveys, 1982
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The Kernel of the Adjoint Representation of ap-Adic Lie Group Need Not Have an Abelian Open Normal Subgroup

Communications in Algebra, 2016
Helge Glöckner
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