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Displaying 41 – 60 of 186

On geometry of curves of flags of constant type

Boris Doubrov, Igor Zelenko (2012)

Open Mathematics

We develop an algebraic version of Cartan’s method of equivalence or an analog of Tanaka prolongation for the (extrinsic) geometry of curves of flags of a vector space W with respect to the action of a subgroup G of GL(W). Under some natural assumptions on the subgroup G and on the flags, one can pass from the filtered objects to the corresponding graded objects and describe the construction of canonical bundles of moving frames for these curves in the language of pure linear algebra. The scope...

On Griess algebras.

Roitman, Michael (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

On hyperbolic cones and mixed symmetric spaces.

Krötz, Bernhard, Neeb, Karl-Hermann (1996)

Journal of Lie Theory

On integrability of discrete representations of Lie algebra $u (p, q)$

J. Mickelsson, J. Niederle (1973)

Annales de l'I.H.P. Physique théorique

On invariants of the action of a finite group on a free Lie algebra.

Petrogradskij, V.M. (2000)

Siberian Mathematical Journal

On irreducible sl (2, R) - modules and sl 2-triples.

N. Dörr (1990)

Semigroup forum

On $k$ -filiform Lie algebras. I.

Campoamor Stursberg, O.R. (2002)

Acta Mathematica Universitatis Comenianae. New Series

On Leibniz homology

Teimuraz Pirashvili (1994)

Annales de l'institut Fourier

We describe a spectral sequence for computing Leibniz cohomology for Lie algebras.

On Lie algebra decompositions, related to spherical homogeneous spaces.

Dmitri Akhiezer (1993)

Manuscripta mathematica

On Lie algebras in braided categories

Bodo Pareigis (1997)

Banach Center Publications

The category of group-graded modules over an abelian group $G$ is a monoidal category. For any bicharacter of $G$ this category becomes a braided monoidal category. We define the notion of a Lie algebra in this category generalizing the concepts of Lie super and Lie color algebras. Our Lie algebras have $n$ -ary multiplications between various graded components. They possess universal enveloping algebras that are Hopf algebras in the given category. Their biproducts with the group ring are noncommutative...

On Lie powers of regular modules in characteristic 2

L. G. Kovács, Ralph Stöhr (2004)

Rendiconti del Seminario Matematico della Università di Padova

On matrix Lie rings over a commutative ring that contain the special linear Lie ring

Evgenii L. Bashkirov, Esra Pekönür (2016)

Commentationes Mathematicae Universitatis Carolinae

Let $K$ be an associative and commutative ring with $1$ , $k$ a subring of $K$ such that $1 \in k$ , $n \geq 2$ an integer. The paper describes subrings of the general linear Lie ring $g l_{n} (K)$ that contain the Lie ring of all traceless matrices over $k$ .

On multiplicities of simple subquotients in generalized Verma modules

Alexandre Khomenko, Volodymyr Mazorchuk (2002)

Czechoslovak Mathematical Journal

We reduce the problem on multiplicities of simple subquotients in an $α$ -stratified generalized Verma module to the analogous problem for classical Verma modules.

On nilpotent filiform Lie algebras of dimension eight.

Barbari, P., Kobotis, A. (2003)

International Journal of Mathematics and Mathematical Sciences

On normal abelian subgroups in parabolic groups

Gerhard Röhrle (1998)

Annales de l'institut Fourier

Let $G$ be a reductive algebraic group, $P$ a parabolic subgroup of $G$ with unipotent radical $P_{u}$ , and $A$ a closed connected subgroup of $P_{u}$ which is normalized by $P$ . We show that $P$ acts on $A$ with finitely many orbits provided $A$ is abelian. This generalizes a well-known finiteness result, namely the case when $A$ is central in $P_{u}$ . We also obtain an analogous result for the adjoint action of $P$ on invariant linear subspaces of the Lie algebra of $P_{u}$ which are abelian Lie algebras. Finally, we discuss a connection...

On Ol'shanskii's semigroup.

Norbert Dörr (1990)

Mathematische Annalen

On porcupine varieties in Lie algebras.

Karl Heinrich Hofmann, W.A.F. Ruppert (1994)

Mathematische Annalen

On Prealgebraic Groups.

Dong Hoon Lee, Ta-sun Wu (1984)

Mathematische Annalen

On prime $ℤ$ -graded Lie algebras of growth one.

Martínez, Consuelo (2005)

Journal of Lie Theory

On quantum and classical Poisson algebras

Janusz Grabowski, Norbert Poncin (2007)

Banach Center Publications

Results on derivations and automorphisms of some quantum and classical Poisson algebras, as well as characterizations of manifolds by the Lie structure of such algebras, are revisited and extended. We prove in particular a somewhat unexpected fact that the algebras of linear differential operators acting on smooth sections of two real vector bundles of rank 1 are isomorphic as Lie algebras if and only if the base manifolds are diffeomorphic, whether or not the line bundles themselves are isomorphic....

Currently displaying 41 – 60 of 186

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