The surjectivity question for the exponential function of real Lie groups: A status report.
Đoković, Dragomir Ž., Hofmann, Karl H. (1997)
Journal of Lie Theory
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Đoković, Dragomir Ž., Hofmann, Karl H. (1997)
Journal of Lie Theory
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Wüstner, Michael (1998)
Beiträge zur Algebra und Geometrie
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Wüstner, Michael (1995)
Journal of Lie Theory
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Baklouti, Ali (1998)
Journal of Lie Theory
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Thomas Ernst (2017)
Special Matrices
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In this paper, we define several new concepts in the borderline between linear algebra, Lie groups and q-calculus.We first introduce the ring epimorphism r, the set of all inversions of the basis q, and then the important q-determinant and corresponding q-scalar products from an earlier paper. Then we discuss matrix q-Lie algebras with a modified q-addition, and compute the matrix q-exponential to form the corresponding n × n matrix, a so-called q-Lie group, or manifold, usually with...
Detlev Poguntke (1980)
Journal für die reine und angewandte Mathematik
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Mittenhuber, Dirk (1995)
Journal of Lie Theory
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J. Boidol (1980)
Inventiones mathematicae
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Michael Wüstner (1996)
Manuscripta mathematica
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Breckner, Brigitte E. (2002)
Mathematica Pannonica
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Ding, Ping (2005)
Journal of Mathematical Sciences (New York)
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Bachman, Gennady (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Wojciech Niemiro (1984)
Colloquium Mathematicae
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Detlev Poguntke (2010)
Colloquium Mathematicae
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For any connected Lie group G and any Laplacian Λ = X²₁ + ⋯ + X²ₙ ∈ 𝔘𝔤 (X₁,...,Xₙ being a basis of 𝔤) one can define the commutant 𝔅 = 𝔅(Λ) of Λ in the convolution algebra ℒ¹(G) as well as the commutant ℭ(Λ) in the group C*-algebra C*(G). Both are involutive Banach algebras. We study these algebras in the case of a "distinguished Laplacian" on the "Iwasawa part AN" of a semisimple Lie group. One obtains a fairly good description of these algebras by objects derived from the semisimple...
M. Stojaković (1972)
Publications de l'Institut Mathématique
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