Results 91 to 100 of about 1,532 (216)

A computational approach to 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

, 2010
Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
core  

Connected subgroups of SO(2,n) acting irreducibly on R^{2,n} [PDF]

, 2011
We classify all connected subgroups of SO(2, n) that act irreducibly on R^{2 ...
Antonio J. Di Scala, Thomas Leistner, Leistner, T., Di Scala, Antonio Jose', Di Scala, A.   +4 more
core   +1 more source

Invariant algebras and completely reducible representations [PDF]

, 1994
We give a general construction of affine noetherian algebras with the property that every finite dimensional representation is completely reducible. Starting from enveloping algebras of semi simple Lie algebras in characteristic zero we obtain explicit ...
Kraft, Hanspeter, Small, Lance W.
core  

Central measures on semisimple Lie groups have essentially compact support

, 1972
In this paper it is shown that for a connected semisimple Lie group with no nontrivial compact quotient any finite central measure is a discrete measure concentrated on the center of the group.
Linda Preiss Rothschild, David L. Ragozin   +1 more
core   +1 more source

Antisymmetric Orbit Functions

Symmetry, Integrability and Geometry: Methods and Applications, 2007
In the paper, properties of antisymmetric orbit functions are reviewed and further developed. Antisymmetric orbit functions on the Euclidean space $E_n$ are antisymmetrized exponential functions.
Anatoliy Klimyk, Jiri Patera
doaj  

On the Unitarized Adjoint Representation of a Semisimple Lie Group II

, 1977
Let G be a connected semisimple Lie group with Lie algebra . Lebesgue measure on is invariant under the adjoint action of G; and so there is a natural unitary representation TG of G on L2 given ...
Ronald L. Lipsman
core   +1 more source

Invariant differential equations on certain semisimple Lie groups

, 1978
If G is a semisimple Lie group with one conjugacy class of Cartan subalgebras (e.g. a complex semisimple Lie group), a bi-invariant differential equation on G can be reduced by means of the Radon transform to one on the subgroup MA.
F. Rouvière
core   +1 more source

Parallizable manifolds and the fundamental group

, 2000
ntroduction. Low-dimensional topology is dominated by the fundamental group. However, since every finitely presented group is the fundamental group of some closed 4-manifold, it is often stated that the effective influence of π1 ends in dimension three ...
Walton, J, Johnson, FEA
core  

Root systems and semisimple Lie algebras

, 2022
Cilj ovog rada je klasificirati konačnodimenzionalne poluproste kompleksne Liejeve algebre. U tu svrhu smo prvo uveli općeniti pojam sistema korijena, baze sistema korijena te Weylove grupe.
Mandarić, Marcela
core  

Global anomalies in 6D gauged supergravities

Journal of High Energy Physics
There exists a rare class of R-symmetry gauged N = (1, 0) supergravities in six dimensions with gauge group G × U(1) R , where G is semisimple with rank greater than one, and the number of tensor multiplets n T = 1, which are free from all local ...
K. Becker, E. Sezgin, D. Tennyson, Y. Tachikawa   +3 more
doaj   +1 more source