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Displaying 1821 – 1840 of 2676

The centralizer of a classical group and Bruhat-Tits buildings

Daniel Skodlerack (2013)

Annales de l’institut Fourier

Let $G$ be a unitary group defined over a non-Archimedean local field of odd residue characteristic and let $H$ be the centralizer of a semisimple rational Lie algebra element of $G .$ We prove that the Bruhat-Tits building $𝔅^{1} (H)$ of $H$ can be affinely and $G$ -equivariantly embedded in the Bruhat-Tits building $𝔅^{1} (G)$ of $G$ so that the Moy-Prasad filtrations are preserved. The latter property forces uniqueness in the following way. Let $j$ and $j^{'}$ be maps from $𝔅^{1} (H)$ to $𝔅^{1} (G)$ which preserve the Moy–Prasad filtrations. We prove that...

The centralizer of a Lie algebra in an enveloping algebra.

Kenneth D. Johnson (1989)

Journal für die reine und angewandte Mathematik

The centroid of a JB*-triple system.

Seán Dineen, Richard M. Timoney (1988)

Mathematica Scandinavica

The characteristic cycles of holonomic systems on a flag manifold.

M. Kashiwara, T. Tanisaki (1984)

Inventiones mathematicae

The characteristic elements of special nilpotent Lie algebras of dimension ten.

Christophoridou, Ch., Kobotis, A. (1999)

Balkan Journal of Geometry and its Applications (BJGA)

The classical Yang-Baxter equation on alternative algebras: the alternative $D$ -bialgebra structure on Cayley-Dickson matrix algebras.

Goncharov, M.E. (2007)

Sibirskij Matematicheskij Zhurnal

The classification of Lie algebras with invariant cones.

Neeb, Karl-Hermann (1994)

Journal of Lie Theory

The classification of modular Lie superalgebras of type M

Lili Ma, Liangyun Chen (2015)

Open Mathematics

The natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements. Moreover, an intrinsic property is obtained and all the infinite-dimensional simple modular Lie superalgebras M are classified up to isomorphisms. As an application, a property of automorphisms of M is given.

The classification of $S U (3)$ modular invariants revisited

Terry Gannon (1996)

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

The classification of two step nilpotent complex Lie algebras of dimension $8$

Zaili Yan, Shaoqiang Deng (2013)

Czechoslovak Mathematical Journal

A Lie algebra $𝔤$ is called two step nilpotent if $𝔤$ is not abelian and $[𝔤, 𝔤]$ lies in the center of $𝔤$ . Two step nilpotent Lie algebras are useful in the study of some geometric problems, such as commutative Riemannian manifolds, weakly symmetric Riemannian manifolds, homogeneous Einstein manifolds, etc. Moreover, the classification of two-step nilpotent Lie algebras has been an important problem in Lie theory. In this paper, we study two step nilpotent indecomposable Lie algebras of dimension $8$ over the...

The closure diagram for nilpotent orbits of the split real form of E8

Dragomir Đoković (2003)

Open Mathematics

Let $𝒪_{1}$ and $𝒪_{2}$ be adjoint nilpotent orbits in a real semisimple Lie algebra. Write $𝒪_{1}$ ≥ $𝒪_{2}$ if $𝒪_{2}$ is contained in the closure of $𝒪_{1}$ . This defines a partial order on the set of such orbits, known as the closure ordering. We determine this order for the split real form of the simple complex Lie algebra, E 8. The proof is based on the fact that the Kostant-Sekiguchi correspondence preserves the closure ordering. We also present a comprehensive list of simple representatives of these orbits, and list the irreeducible...

The closure diagrams for nilpotent orbits of real forms of $E_{6}$ .

Đoković, Dragomir Ž. (2001)

Journal of Lie Theory

The closure diagrams for nilpotent orbits of real forms of $F_{4}$ and $G_{2}$ .

Đoković, Dragomir Ž. (2000)

Journal of Lie Theory

The Cohomology of the Morava Stabilizer Algebras.

Douglas C. Ravenel (1976/1977)

Mathematische Zeitschrift

The combinatorics of orbital varieties closures of nilpotent order 2 in ${sl}_{n}$ .

Melnikov, Anna (2005)

The Electronic Journal of Combinatorics [electronic only]

The construction of 3-Lie 2-algebras

Chunyue Wang, Qingcheng Zhang (2018)

Czechoslovak Mathematical Journal

We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.

The continuity of Lie homomorphisms

Bernard Aupetit, Martin Mathieu (2000)

Studia Mathematica

We prove that the separating space of a Lie homomorphism from a Banach algebra onto a Banach algebra is contained in the centre modulo the radical.

The contributions of Hilbert and Dehn to non-archimedean geometries and their impact on the italian school

Cinzia Cerroni (2007)

Revue d'histoire des mathématiques

In this paper we investigate the contribution of Dehn to the development of non-Archimedean geometries. We will see that it is possible to construct some models of non-Archimedean geometries in order to prove the independence of the continuity axiom and we will study the interrelations between Archimedes’ axiom and Legendre’s theorems. Some of these interrelations were also studied by Bonola, who was one of the very few Italian scholars to appreciate Dehn’s work. We will see that, if Archimedes’...

The Conway-Norton algebras for ?(6,3), ?(7,3), F'24, and their full automorphism groups.

M. Kitazume (1987)

Inventiones mathematicae

The cyclic homology of $P (G)$

Cenkl, Bohumil, Vigué-Poirrier, Micheline (1993)

Proceedings of the Winter School "Geometry and Topology"

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