Results 171 to 180 of about 1,532 (216)

On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations. [PDF]

Mon Hefte Math
Grobner H, Žunar S.
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On the Classification of Bosonic and Fermionic One-Form Symmetries in 2 + 1 d and 't Hooft Anomaly Matching. [PDF]

Commun Math Phys
Balasubramanian M, Buican M, Radhakrishnan R.   +2 more
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Finiteness properties of automorphism spaces of manifolds with finite fundamental group. [PDF]

Math Ann
Bustamante M, Krannich M, Kupers A.
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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
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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.
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SUBSEMIGROUPS OF SEMISIMPLE LIE GROUPS

Transformation 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.
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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 ...
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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.
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Semisimple Lie Groups

2012
In the preceding chapter, we studied groups with a compact Lie algebra. For these groups, we have seen how to split them into a direct product of a compact and a vector group, how to complement the commutator group by an abelian Lie group, and that all compact Lie groups are linear.
Joachim Hilgert, Karl-Hermann Neeb
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Semisimple subgroups of linear semisimple Lie groups

Journal of Mathematical Physics, 1975
The problem of embedding a semisimple Lie group in a linear semisimple Lie group [where one (or both) may be noncompact] is investigated in detail. The analysis is based on a previous set of papers dealing with the corresponding problem for real Lie algebras.
Cornwell, J. F., Ekins, J. M.
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