Results 181 to 190 of about 321 (215)

Semigroups of Simple Lie Groups and Controllability

Journal of Dynamical and Control Systems, 2013
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Differential calculus on quantized simple lie groups

Letters in Mathematical Physics, 1991
The author introduces a generalization of \textit{S. L. Woronowicz}'s [Commun. Math. Phys. 122, 125-170 (1989; Zbl 0751.58042)] four dimensional differential calculus on \(SU_ q(2)\) to the case of an arbitrary simple classical quantum group in a constructive way.
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Wigner-Eckart Theorem and Simple Lie Groups

Journal of Mathematical Physics, 1963
For simple Lie groups, matrix elements of vector operators (i.e. operators which transform according to the adjoint representation of the group) within an irreducible (finite-dimensional) representation, are studied. By use of the Wigner-Eckart theorem, they are shown to be linear combinations of the matrix elements of a finite number of operators. The
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Charge operators in simple Lie groups

Journal of Mathematical Physics, 1984
Charge operators for representations of dimension less than or equal to 16 are computed in all simple Lie groups. The representations for which the charge operator reproduces the charge spectrum of leptons and quarks of one family are analyzed from a GUT point of view.
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Sexual health among adolescent and young adult cancer survivors: A scoping review from the Children's Oncology Group Adolescent and Young Adult Oncology Discipline Committee

Ca-A Cancer Journal for Clinicians, 2021
Brooke Cherven, Sharon L Bober, Kristin M Bingen   +2 more
exaly  

Simple Groups and Simple Lie Algebras

Journal of the London Mathematical Society, 1965
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Introduction to Compact Simple Lie Groups

1989
The purpose of this chapter is to give a brief and simple-minded introduction to Lie groups, and particularly compact simple Lie groups, since these are of considerable importance in particle physics, grand unification etc. The basic concepts of groups and group representations are assumed to be known — these include the definitions of a group ...
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The evolving landscape of salivary gland tumors

Ca-A Cancer Journal for Clinicians, 2023
Conor Steuer
exaly  

Characters of Semi-Simple Lie Groups

1967
Let C be the circle group, that is, the multiplicative group of all complex numbers c with |c| = 1. Then for every integer n, we have the character χn of C given by χn(c) = cn, and these are the only (irreducible) characters of C. Moreover, the main result in the theory of Fourier series asserts that $$f(1) = \sum\limits_{ - \infty < n < \infty } \;
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Simple Lie Groups of Rank One

2001
Let X be a rank one Riemannian symmetric space of the noncompact type, and G be the group of isometries of X. There are four cases: (1) X is real n-hyperbolic space (n ≥ 2) and G = SO0 (n, 1); (2) X is complex n-hyperbolic space (n ≥ 2) and G = SU(n, 1); (3) Xis quaternionic n-hyperbolic space (n ≥ 2) and G = Sp(n, 1);
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