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Displaying 1221 – 1240 of 2671

On spherical nilpotent orbits and beyond

Dmitri I. Panyushev (1999)

Annales de l'institut Fourier

We continue investigations that are concerned with the complexity of nilpotent orbits in semisimple Lie algebras. We give a characterization of the spherical nilpotent orbits in terms of minimal Levi subalgebras intersecting them. This provides a kind of canonical form for such orbits. A description minimal non-spherical orbits in all simple Lie algebras is obtained. The theory developed for the adjoint representation is then extended to Vinberg’s $θ$ -groups. This yields a description of spherical...

On subsemigroups of semisimple Lie groups

R. El Assoudi, J. P. Gauthier, I. A. K. Kupka (1996)

Annales de l'I.H.P. Analyse non linéaire

On tangent cones to Schubert varieties in type $E$

Mikhail V. Ignatyev, Aleksandr A. Shevchenko (2020)

Communications in Mathematics

We consider tangent cones to Schubert subvarieties of the flag variety $G / B$ , where $B$ is a Borel subgroup of a reductive complex algebraic group $G$ of type $E_{6}$ , $E_{7}$ or $E_{8}$ . We prove that if $w_{1}$ and $w_{2}$ form a good pair of involutions in the Weyl group $W$ of $G$ then the tangent cones $C_{w_{1}}$ and $C_{w_{2}}$ to the corresponding Schubert subvarieties of $G / B$ do not coincide as subschemes of the tangent space to $G / B$ at the neutral point.

On tensor representations of knot algebras.

Tammo tom Dieck (1997)

Manuscripta mathematica

On the adjoint map of homotopy abelian DG-Lie algebras

Donatella Iacono, Marco Manetti (2019)

Archivum Mathematicum

We prove that a differential graded Lie algebra is homotopy abelian if its adjoint map into its cochain complex of derivations is trivial in cohomology. The converse is true for cofibrant algebras and false in general.

On the Andrunakievich lemma for linear Jordan rings.

М. Слатер (1987)

Algebra i Logika

On the annihilators of the simple subquotients of the principal series

A. Joseph (1977)

Annales scientifiques de l'École Normale Supérieure

On the associative Nijenhuis relation.

Ebrahimi-Fard, Kurusch (2004)

The Electronic Journal of Combinatorics [electronic only]

On the asymptotics of the number of p̅-core partitions of integers

Ian Kiming (1997)

Acta Arithmetica

On the basic algebraic operations in solvable Lie groups.

Niels Vigand Pedersen (1994)

Aequationes mathematicae

On the basic representation of the affine Kac-Moody Lie algebras $D_{n}^{(1)}$

Thomas N. Vougiouklis (1988)

Commentationes Mathematicae Universitatis Carolinae

On the behaviour of Jordan-algebra norms on associative algebras

Miguel Cabrera Garcia, Antonio Moreno Galindo, Angel Rodríguez Palacios (1995)

Studia Mathematica

We prove that for a suitable associative (real or complex) algebra which has many nice algebraic properties, such as being simple and having minimal idempotents, a norm can be given such that the mapping (a,b) ↦ ab + ba is jointly continuous while (a,b) ↦ ab is only separately continuous. We also prove that such a pathology cannot arise for associative simple algebras with a unit. Similar results are obtained for the so-called "norm extension problem", and the relationship between these results...

Currently displaying 1221 – 1240 of 2671

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Displaying 1221 – 1240 of 2671

On spherical nilpotent orbits and beyond

On subsemigroups of semisimple Lie groups

On tangent cones to Schubert varieties in type $E$

On tensor representations of knot algebras.

On the adjoint map of homotopy abelian DG-Lie algebras

On the Andrunakievich lemma for linear Jordan rings.

On the annihilators of the simple subquotients of the principal series

On the associative Nijenhuis relation.

On the asymptotics of the number of p̅-core partitions of integers

On the basic algebraic operations in solvable Lie groups.

On the basic representation of the affine Kac-Moody Lie algebras $D_{n}^{(1)}$

On the behaviour of Jordan-algebra norms on associative algebras

On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula

On the braiding on a Hopf algebra in a braided category.

On the Cartan subalgebras of Lie algebras over small fields.

On the center of a left Jordan groupoid

On the center of $U_{q} (𝔫^{+})$ . (Sur le centre de $U_{q} (𝔫^{+})$ .)

On the centralizer of K in the universal enveloping algebra of SO(n,1) and SU(n,1).

On the characteristic polynomials of orbital varieties

On the Characterization of Primitive Ideals in Enveloping Algebras.

Currently displaying 1221 – 1240 of 2671