Results 291 to 300 of about 872,521 (356)

The Euler transform and Weyl groups of Kac-Moody Lie algebras (Combinatorial Representation Theory and its Applications)

, 2011
一希 広恵
openalex   +1 more source

STAR products and lie groups representation

, 1991
Hamid Zahir
openalex   +1 more source

Some of the next articles are maybe not open access.

Related searches:

The Adjoint Representation of a Lie Group

1993
Every group G acts on itself by inner automorphisms: the map associated with an element g is h ↦ ghg −1. If G is a Lie group, the differential of each inner automorphism determines a linear transformation on the tangent space to G at the identity element, because the identity is fixed by any inner automorphism.
A. Schwarz
openaire   +2 more sources

A Theorem on Unitary Representations of Semisimple Lie Groups

The Annals of Mathematics, 1950
We show that a connected semisimple Lie group G none of whose simple constituents is compact (in particular, any connected complex semisimple group) has no nontrivial measurable unitary representations into a finite factor,-i. e. a factor of type In(n oo ) or II , in the terminology of [3]. This has been known for the case of representations of complex
Segal, I. E., von Neumann, John
openaire   +3 more sources

The algebraic structure of the SU(7) Lie group

Journal of Mathematics and Physics, 2019
In recent years, the Lie group SU(7) has been featured prominently in a number of grand unification proposals involving the Standard Model as a low energy effective theory. This note investigates the framework of the SU(7) group.
A. Goetz, J. Secrest
semanticscholar   +1 more source

Lie groups with all left-invariant semi-Riemannian metrics complete

, 2023
For each left-invariant semi-Riemannian metric $g$ on a Lie group $G$, we introduce the class of bi-Lipschitz Riemannian Clairaut metrics, whose completeness implies the completeness of $g$.
A. Elshafei, Ana Cristina Ferreira, Miguel S'anchez, A. Zeghib   +3 more
semanticscholar   +1 more source

INVOLUTIONS ON KNOT GROUPS AND VARIETIES OF REPRESENTATIONS IN A LIE GROUP

Journal of Knot Theory and Its Ramifications, 2002
We prove the existence of a rationalisation [Formula: see text] of a classical or high-dimensional knot group Π which admits an involution if the Alexander polynomials of the knot are reciprocal. Using the group [Formula: see text] and its involution, we study the local structure, in the neighbourhood of an abelian representation, of the space of ...
Ben Abdelghani, Leila, Lines, Daniel
openaire   +1 more source

Matrix Representation for Decomposable Solvable Six-Dimensional Lie Algebra

Journal of education and science
This paper extends the classification of three-dimensional connected topological proper loops , for which the multiplication group  is a six-dimensional decomposable solvable Lie group.
A. Al-Abayechi
semanticscholar   +1 more source