Results 311 to 320 of about 1,803,467 (337)
Some of the next articles are maybe not open access.
Embedding of a Simple Lie Group into a Simple Lie Group and Branching Rules
Journal of Mathematical Physics, 1967A criterion established by Dynkin is used to specify the embedding of a connected simple Lie group G′ into a connected simple Lie group G, and to derive a standard procedure for evaluating branching rules.
A. Navon, J. Patera
semanticscholar +4 more sources
Isoparity and Simple Lie Group
Journal of Mathematical Physics, 1967The direct generalization of the isoparity (or G‐parity), with the defining property that it is commutable with the referring internal symmetry group, is investigated on the basis of the theory of Lie algebra.
K. Tanabe, Kazuhisa Shima
semanticscholar +4 more sources
The Demazure–Tits subgroup of a simple Lie group
, 1988The Demazure–Tits subgroup of a simple Lie group G is the group of invariance of Clebsch–Gordan coefficients tables (assuming an appropriate choice of basis). The structure of the Demazure–Tits subgroups of An, Bn, Cn, Dn, and G2 is described.
L. Michel, J. Patera, R. T. Sharp
semanticscholar +1 more source
Projection operators for simple lie groups
Theoretical and Mathematical Physics, 1971Summary: The solution of many problems in nuclear theory and elementary particle physics amounts to decomposing the reducible representations of the symmetry groups of quantum mechanical systems into irreducible components. To carry out this decomposition, projection operators are needed. In the present paper we have constructed, for all simple compact
R.M. Asherova +2 more
openaire +3 more sources
Representations of simple lie groups
Reports on Mathematical Physics, 1993It is known that the real homology \(H_ * (G)\) of a compact Lie group \(G\) is a Cartesian product of certain odd-dimensional spheres. In the author's interpretation, the group itself can be viewed as a ``twisted'' product of the same spheres: for instance, \(SU(3) \sim S^ 3 \times S^ 5\) is interpreted as the existence of the principal bundle \(SU(2)
openaire +2 more sources
Adjoint Orbits of Semi-Simple Lie Groups and Lagrangian Submanifolds
Proceedings of the Edinburgh Mathematical Society, 2014We give various realizations of the adjoint orbits of a semi-simple Lie group and describe their symplectic geometry. We then use these realizations to identify a family of Lagrangian submanifolds of the orbits.
E. Gasparim, L. Grama, L. S. San Martin
semanticscholar +1 more source
On simple lie groups of rank 3
Il Nuovo Cimento, 1965Properties of simple Lie algebras of rank three, are investigated in view of physical applications; more precisely, dimensions, weight diagrams, decompositions with respect to regular subalgebras and decomposition of products of representations are given for the lowest order irreducible representations; we also explain somme techniques to deal with ...
J. C. Trotin, M. Sirugue, G. Loupias
openaire +2 more sources
Gradings on Simple Lie Algebras
, 2013Introduction Gradings on algebras Associative algebras Classical Lie algebras Composition algebras and type $G_2$ Jordan algebras and type $F_4$ Other simple Lie algebras in characteristic zero Lie algebras of Cartan type in prime characteristic Affine ...
A. Elduque, M. Kochetov
semanticscholar +1 more source
The Betti Numbers of the Simple Lie Groups
Canadian Journal of Mathematics, 1958The purpose of the present paper1 is to simplify the calculation of the Betti numbers of the simple compact Lie groups. For the unimodular group and the orthogonal group on a space of odd dimension the form of the Poincaré polynomial was correctly guessed by E.
openaire +3 more sources
Numerical Methods for Stochastic Differential Equations in Matrix Lie Groups Made Simple
IEEE Transactions on Automatic Control, 2018A large number of significant applications involve numerical solution of stochastic differential equations (SDE's) evolving in Lie groups such as $SO(3)$ .
G. Marjanovic, V. Solo
semanticscholar +1 more source