Classification of almost spherical pairs of compact simple Lie groups

Ihor Mykytyuk; Anatoly Stepin

Displaying similar documents to “Classification of almost spherical pairs of compact simple Lie groups”

On the multiplier of a Lie algebra.

Yankosky, Bill (2003)

Journal of Lie Theory

Similarity:

On the Cartan subalgebras of Lie algebras over small fields.

Siciliano, Salvatore (2003)

Journal of Lie Theory

Similarity:

A remarkable contraction of semisimple Lie algebras

Dmitri I. Panyushev, Oksana S. Yakimova (2012)

Annales de l’institut Fourier

Similarity:

Recently, E.Feigin introduced a very interesting contraction $𝔮$ of a semisimple Lie algebra $𝔤$ (see arXiv:1007.0646 and arXiv:1101.1898). We prove that these non-reductive Lie algebras retain good invariant-theoretic properties of $𝔤$ . For instance, the algebras of invariants of both adjoint and coadjoint representations of $𝔮$ are free, and also the enveloping algebra of $𝔮$ is a free module over its centre.

Homogeneous Lorentz manifolds with simple isometry group.

Witte, Dave (2001)

Beiträge zur Algebra und Geometrie

Similarity:

On relative extension groups in the category of commutative diagrams.

Khusainov, A.A. (2001)

Sibirskij Matematicheskij Zhurnal

Similarity:

The Virasoro algebra and some exceptional Lie and finite groups.

Tuite, Michael P. (2007)

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

Similarity:

Finite dimensions modulo simplicial complexes and $A N R$ -compacta

V. V. Fedorchuk (2009)

Matematički Vesnik

Similarity:

Lie algebra cohomology and generating functions.

Tolpygo, Alexei (2004)

Homology, Homotopy and Applications

Similarity:

Spherical Stein manifolds and the Weyl involution

Dmitri Akhiezer (2009)

Annales de l’institut Fourier

Similarity:

We consider an action of a connected compact Lie group on a Stein manifold by holomorphic transformations. We prove that the manifold is spherical if and only if there exists an antiholomorphic involution preserving each orbit. Moreover, for a spherical Stein manifold, we construct an antiholomorphic involution, which is equivariant with respect to the Weyl involution of the acting group, and show that this involution stabilizes each orbit. The construction uses some properties of spherical...