Appendix on the discriminant quotient formula for global field
Moshe Jarden, Gopal Prasad (1989)
Publications Mathématiques de l'IHÉS
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Moshe Jarden, Gopal Prasad (1989)
Publications Mathématiques de l'IHÉS
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Gerd Faltings (1997-1998)
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Otera, Daniele Ettore, Russo, Francesco G. (2010)
International Journal of Mathematics and Mathematical Sciences
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Claus Michael Ringel (1990)
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Jérôme Chabert, Siegfried Echterhoff, Ryszard Nest (2003)
Publications Mathématiques de l'IHÉS
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Let G be a locally compact group with cocompact connected component. We prove that the assembly map from the topological K-theory of G to the K-theory of the reduced C-algebra of G is an isomorphism. The same is shown for the groups of -rational points of any linear algebraic group over a local field of characteristic zero.
Daniel Beltiţă, Mihai Nicolae (2015)
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We study some embeddings of suitably topologized spaces of vector-valued smooth functions on topological groups, where smoothness is defined via differentiability along continuous one-parameter subgroups. As an application, we investigate the canonical correspondences between the universal enveloping algebra, the invariant local operators, and the convolution algebra of distributions supported at the unit element of any finite-dimensional Lie group, when one passes from finite-dimensional...
Hill, Richard (2007)
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Lee, Dong Hoon (1999)
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Karl Hofmann, Sidney Morris, Markus Stroppel (1996)
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In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups
Tatiana Bandman, Shelly Garion, Boris Kunyavskiĭ (2014)
Open Mathematics
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We present a survey of results on word equations in simple groups, as well as their analogues and generalizations, which were obtained over the past decade using various methods: group-theoretic and coming from algebraic and arithmetic geometry, number theory, dynamical systems and computer algebra. Our focus is on interrelations of these machineries which led to numerous spectacular achievements, including solutions of several long-standing problems.
Michael Kapovich, John J. Millson (1998)
Publications Mathématiques de l'IHÉS
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