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Displaying 81 – 100 of 225

Leibniz $A$ -algebras

David A. Towers (2020)

Communications in Mathematics

A finite-dimensional Lie algebra is called an $A$ -algebra if all of its nilpotent subalgebras are abelian. These arise in the study of constant Yang-Mills potentials and have also been particularly important in relation to the problem of describing residually finite varieties. They have been studied by several authors, including Bakhturin, Dallmer, Drensky, Sheina, Premet, Semenov, Towers and Varea. In this paper we establish generalisations of many of these results to Leibniz algebras.

Les sous-algèbres de Cartan réelles et la frontière d'une orbite ouverte dansune variété de drapeaux.

Jacques Carmona (1973)

Manuscripta mathematica

Lie Algebra Homology and the Macdonald-kac Formulas.

James Lepowsky, Howard Garland (1976)

Inventiones mathematicae

Local superderivations on Lie superalgebra $𝔮 (n)$

Haixian Chen, Ying Wang (2018)

Czechoslovak Mathematical Journal

Let $𝔮 (n)$ be a simple strange Lie superalgebra over the complex field $ℂ$ . In a paper by A. Ayupov, K. Kudaybergenov (2016), the authors studied the local derivations on semi-simple Lie algebras over $ℂ$ and showed the difference between the properties of local derivations on semi-simple and nilpotent Lie algebras. We know that Lie superalgebras are a generalization of Lie algebras and the properties of some Lie superalgebras are similar to those of semi-simple Lie algebras, but $𝔭 (n)$ is an exception. In this...

Minimal realizations of classical simple Lie algebras through deformations

Didier Arnal, Hádi Benamor, Benjamin Cahen (1998)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Modèle de Whittaker et ideaux primitifs complètement premiers dans les algèbres enveloppantes des algèbres de Lie semisimples complexes II.

C. Moeglin (1988)

Mathematica Scandinavica

Modular Forms and Root Systems.

A.G. van Asch (1976)

Mathematische Annalen

$𝔫$ -coinvariants des $𝔤$ -modules $𝔫$ -localement nilpotents

Yves Benoist (1988)

Bulletin de la Société Mathématique de France

Non completely solvable systems of complex first order PDEs

C. Denson Hill, Mauro Nacinovich (2013)

Rendiconti del Seminario Matematico della Università di Padova

Non-holonomic modules over Weyl algebras and enveloping algebras.

J.T. Stafford (1985)

Inventiones mathematicae

Nonsplit extensions of modular Lie algebras of rank 2.

Dzhumadil'daev, A.S., Ibraev, S.S. (2002)

Homology, Homotopy and Applications

Nonsymmetric Koornwinder polynomials and duality.

Sahi, Siddhartha (1999)

Annals of Mathematics. Second Series

Non-weight modules over the super Schrödinger algebra

Xinyue Wang, Liangyun Chen, Yao Ma (2024)

Czechoslovak Mathematical Journal

We construct a family of non-weight modules which are free $U (𝔥)$ -modules of rank 2 over the $N = 1$ super Schrödinger algebra in $(1 + 1)$ -dimensional spacetime. We determine the isomorphism classes of these modules. In particular, free $U (𝔥)$ -modules of rank 2 over $𝔬𝔰𝔭 (1 | 2)$ are also constructed and classified. Moreover, we obtain the sufficient and necessary conditions for such modules to be simple.

Currently displaying 81 – 100 of 225

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Displaying 81 – 100 of 225

Leibniz $A$ -algebras

Les sous-algèbres de Cartan réelles et la frontière d'une orbite ouverte dansune variété de drapeaux.

Lie Algebra Homology and the Macdonald-kac Formulas.

Local superderivations on Lie superalgebra $𝔮 (n)$

Minimal realizations of classical simple Lie algebras through deformations

Modèle de Whittaker et ideaux primitifs complètement premiers dans les algèbres enveloppantes des algèbres de Lie semisimples complexes II.

Modular Forms and Root Systems.

$𝔫$ -coinvariants des $𝔤$ -modules $𝔫$ -localement nilpotents

Non completely solvable systems of complex first order PDEs

Non-holonomic modules over Weyl algebras and enveloping algebras.

Nonsplit extensions of modular Lie algebras of rank 2.

Nonsymmetric Koornwinder polynomials and duality.

Non-weight modules over the super Schrödinger algebra

Number of “ $u d u$ ”s of a Dyck path and $a d$ -nilpotent ideals of parabolic subalgebras of ${sl}_{ℓ + 1} (C)$ .

On a certain class of semi-simple subalgebras of a semi-simple Lie algebra

On a Construction of Representations and a Problem of Enright.

On a theorem of E. Cartan

On classical $r$ -matrices with parabolic carrier.

On hyperbolic cones and mixed symmetric spaces.

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

Currently displaying 81 – 100 of 225