Results 151 to 160 of about 1,525 (197)

The Category of Anyon Sectors for Non-Abelian Quantum Double Models. [PDF]

open access: yesCommun Math Phys
Bols A   +3 more
europepmc   +1 more source

Isomorphism and Diffeomorphism of Semisimple Lie Groups

Russian Mathematics, 2022
This paper deals with semisimple real Lie groups and their topological properties. The author studies the relation between the diffeomorphism and isomorphism of arbitrary semisimple Lie groups. I quote the author's motivation from this paper: ``Two isomorphic Lie groups will, of course, be diffeomorphic (as smooth manifolds) and even isomorphic (as ...
V V Gorbatsevich, Gorbatsevich V V
exaly   +2 more sources

SUBSEMIGROUPS OF SEMISIMPLE LIE GROUPS

open access: yesTransformation Groups, 2015
Let \(G\) be a connected semisimple Lie group with finite center. It was proved by \textit{H. Auerbach} that \(G\) is generated by two elements as a topological group [Stud. Math. 5, 43--49 (1934; Zbl 0013.15004)], and it was proved by \textit{M. Kuranishi} that \(G\) is generated by two one-parameter groups as an abstract group [Kōdai Math. Semin. Rep.
Abels, Herbert
openaire   +4 more sources

NONCOMPACT SEMISIMPLE LIE GROUPS

Russian Mathematical Surveys, 1963
CONTENTS ForewordChapter I. Introduction § 1. Linear Lie groups § 2. Semisimple Lie groups § 3. Symmetric riemannian spacesChapter II. The fundamental theorems § 4. Statement of the fundamental theorems § 5. Proof of the algebra decomposition theorem § 6. Properties of the Cartan decomposition of a simple algebra § 7. Proof of the decomposition theorem
Sirota, A. I., Solodovnikov, A. S.
openaire   +1 more source

Quantization of the semisimple lie group

Nuclear Physics B - Proceedings Supplements, 1989
Abstract The representative matrix method (Jour. Math. Phys. 15, 1086, 1974) is applied to any semisimple Lie group, with a special choice of representative matrices, to obtain a special differential representation of the group. It is shown that this choice of coordinates can be utilized to quantize the group resulting in new uncertainty principles ...
openaire   +2 more sources

CASIMIR OPERATORS FOR SEMISIMPLE LIE GROUPS

Mathematics of the USSR-Izvestiya, 1968
A simple method is developed for computing the eigenvalues of the invariant operators (the so-called Casimir operators) Ĉp of arbitrary order p for semisimple Lie groups. The resulting formulas (52) and (55) are applicable for the case that among the irreducible representations of the given group there is at least one representation with a simple ...
Perelomov, A. M., Popov, V. S.
openaire   +2 more sources

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