Results 1 to 10 of about 3,006 (114)
On approximation of Lie groups by discrete subgroups
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hatem Hamrouni
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Algebraic K-theory of discrete subgroups of Lie groups [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1987 Let G be a Lie group (with finitely many connected components) and Γ be a discrete, cocompact, torsion-free subgroup of G. We rationally calculate the algebraic K-theory of the integral group ring ZΓ in terms of the homology of Γ with trivial rational coefficients.
F T Farrell
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Spectra of discrete uniform subgroups of semisimple Lie groups
Mathematische Annalen, 1978 Let G be a connected, semisimple Lie group with finite center and without compact factors, F a discrete uniform subgroup of G, U the unitary representation of G on L2(F\G) and [U] the equivalence class of U. For each class co in the unitary dual E(G) of G, let nr(co) be the multiplicity of co in [U].
Su-Shing Chen
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Digitising SU(2) gauge fields and the freezing transition
European Physical Journal C: Particles and Fields, 2022 Efficient discretisations of gauge groups are crucial with the long term perspective of using tensor networks or quantum computers for lattice gauge theory simulations. For any Lie group other than U(1), however, there is no class of asymptotically dense
Tobias Hartung +4 more
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On algebraic convergence of non-elementary discrete subgroups of SL(2,Qp)
上海师范大学学报. 自然科学版, 2017 In the Kelinian groups, the study of the algebraic convergence of the sequence of the discrete subgroups is a very important topic, since the algebraic convergence of the sequence of the discrete subgroups can be applied to study the deformations the ...
Yang Jinghua
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Partial differential operators and discrete subgroups of a Lie group
Mathematische Annalen, 1980 Palle E. T. Jorgensen
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Normalizers of chains of discrete p-toral subgroups in compact Lie groups [PDF]
Topology and its Applications, 2022 In this paper we study the normalizer decomposition of a compact Lie group $G$ using the information of the fusion system $\mathcal{F}$ of $G$ on a maximal discrete $p$-toral subgroup. We prove that there is an injective map from the set of conjugacy classes of chains of $\mathcal{F}$-centric, $\mathcal{F}$-radical discrete $p$-toral subgroups to the ...
Belmont, Eva +4 more
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Group extensions and discrete subgroups of Lie groups [PDF]
Proceedings of the American Mathematical Society, 1972 Let F be a discrete uniform subgroup of a connected simply connected solvable Lie group S. It is shown how S is essentially determined by F, using the point of view of group extensions. Let r be a discrete uniform subgroup of a connected simply connected solvable Lie group S.
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Non-discrete uniform subgroups of semisimple Lie groups
Mathematische Annalen, 1972 Morikuni Gotō
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ON THE DISCRETE SUBGROUPS AND HOMOGENEOUS SPACES OF NILPOTENT LIE GROUPS [PDF]
Nagoya Mathematical Journal, 1951 Recently A, Malcev has shown that the homogeneous space of a connected nilpotent Lie group G is the direct product of a compact space and an Euclidean-space and that the compact space of this direct decomposition is also a homogeneous space of a connected subgroup of G.
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