Results 31 to 40 of about 178,877 (207)
Orthonormal bases in the orbit of square-integrable representations of nilpotent Lie groups [PDF]
Journal of Functional Analysis, 2017 Let $G$ be a connected, simply connected nilpotent group and $\pi$ be a square-integrable irreducible unitary representation modulo its center $Z(G)$ on $L^2(\mathbf{R}^d)$.
K. Gröchenig, David Rottensteiner
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Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
Special Matrices, 2021 We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
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Journal of Pure and Applied Algebra, 1985 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Levin, Frank, Sehgal, Sudarshan
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Ricci-flat and Einstein pseudoriemannian nilmanifolds
Complex Manifolds, 2019 This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
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Linear Dynamical Systems of Nilpotent Lie Groups [PDF]
Journal of Fourier Analysis and Applications, 2021 25 pages; to appear in J.
Ingrid Beltiţă, Daniel Beltiţă
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Bulletin des Sciences Mathématiques, 2019 Classical results due to Ingham, Levinson and Paley-Wiener characterize the existence of nonzero functions supported on certain subsets of the real line in terms of the pointwise decay of the Fourier transforms.
Mithun Bhowmik, S. K. Ray, Suparna Sen
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Integrability properties of quasi-regular representations of $NA$ groups
Comptes Rendus. Mathématique, 2022 Let $G = N \rtimes A$, where $N$ is a graded Lie group and $A = \mathbb{R}^+$ acts on $N$ via homogeneous dilations. The quasi-regular representation $\pi = \mathrm{ind}_A^G (1)$ of $G$ can be realised to act on $L^2 (N)$. It is shown that for a class of
van Velthoven, Jordy Timo
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Curvature in nilpotent Lie groups [PDF]
Proceedings of the American Mathematical Society, 1964 Colloq. Algebraic Topology, 1962, pp. 104-113, Matematisk Institut, Aarhus Universitet, Denmark. 4. M. F. Atiyah, Thom complexes, Proc. London Math. Soc. (3) 11 (1961), 291310. 5. M. F. Atiyah and J. A. Todd, On complex Stiefel manifolds, Proc. Cambridge Philos. Soc. 56 (1960), 342-353. 6. Sze-Tsen Hu, Homotopy theory, Pure and Applied Mathematics VIII,
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Group algebras and Lie nilpotence
Journal of Algebra, 2013 Let \(F\) be a field of characteristic zero or odd prime characteristic \(p\), \(G\) a group, \(FG\) the group algebra. The authors continue their research on the properties of symmetric and skew-symmetric elements of \(FG\) with respect to an algebra involution \(*\) induced by an involution on the group, communicated in a series of papers, recent ...
GIAMBRUNO, Antonino +2 more
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Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits [PDF]
Journal of Geometric Analysis, 2016 For a connected simply connected nilpotent Lie group $$\textsf {G}$$G with Lie algebra $${{\mathfrak {g}}}$$g and unitary dual $$\widehat{{\textsf {G}}}$$G^ one has (a) a global quantization of operator-valued symbols defined on $$\textsf {G}\times ...
M. Măntoiu, Michael Ruzhansky
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