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Property (T) is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960's with the aim of demonstrating that a large class of lattices are finitely generated. Later developments have shown that Property (T) plays an
Autor:
Bachir Bekka, Pierre de la Harpe
Publikováno v:
American Mathematical Society, 250, xi-474 p., 2020, Mathematical surveys and monographs, 978-1-4704-5627-6
Mathematical Surveys and Monographs ISBN: 9781470456276
Mathematical Surveys and Monographs ISBN: 9781470456276
International audience; This is an expository book on unitary representations of topological groups, and of several dual spaces, which are spaces of such representations up to some equivalence. The most important notions are defined for topological g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c31849c463fea564c2d348d2ae1b758d
https://hal.archives-ouvertes.fr/hal-02421841
https://hal.archives-ouvertes.fr/hal-02421841
Autor:
Nicolai Reshetikhin, Alice Guionnet, John Ratcliffe, Dietmar Bisch, Hugh Woodin, Thomas Schücker, Edward Witten, Yasuyuki Kawahigashi, Gus Lehrer, Masaki Izumi, Ian Jones, Gaven Martin, C. E. Sutherland, Dimitri Shlyakhtenko, David Evans, Klaus Schmidt, Pierre de la Harpe, Michael Freedman, Arthur Jaffe, Rodney Baxter, Georges Skandalis, Robion Kirby, Fred Goodman, Roberto Longo, Masamichi Takesaki, Joan Birman, Marston Conder, Sorin Popa
Publikováno v:
Notices of the American Mathematical Society. 68:1
Autor:
Bachir Bekka, Pierre de la Harpe
Unitary representations of groups play an important role in many subjects, including number theory, geometry, probability theory, partial differential equations, and quantum mechanics. This monograph focuses on dual spaces associated to a group, whic
Let $G$ be a group. A subset $F \subset G$ is called irreducibly faithful if there exists an irreducible unitary representation $\pi$ of $G$ such that $\pi(x) \neq \mathrm{id}$ for all $x \in F \smallsetminus \{e\}$. Otherwise $F$ is called irreducib
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bc4a168ed055ecaf138ae7000b184c6
Autor:
Pierre de la Harpe, Claude Weber
Publikováno v:
Confluentes Mathematici. 6:65-77
Autor:
Pierre de la Harpe, Claude Weber
Publikováno v:
Confluentes Mathematici. 6:41-68
Autor:
Yves Cornulier, Pierre de la Harpe
The main aim of this book is the study of locally compact groups from a geometric perspective, with an emphasis on appropriate metrics that can be defined on them. The approach has been successful for finitely generated groups, and can favourably be
Autor:
Roland Bacher, Pierre de la Harpe
Publikováno v:
International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), 2016, pp.1-53
International Mathematics Research Notices, Oxford University Press (OUP), 2016, pp.1-53
International audience; It is observed that the conjugacy growth series of the infinite fini-tary symmetric group with respect to the generating set of transpositions is the generating series of the partition function. Other conjugacy growth series a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bc2c99ab5b21b43537bfcea6e55c08b
http://arxiv.org/abs/1603.07943
http://arxiv.org/abs/1603.07943