Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Jan Dymara"'
Publikováno v:
Bulletin of the Polish Academy of Sciences Mathematics. 68:169-194
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e396d8cc73df4a4e3ce5db733af01dda
https://doi.org/10.4064/ba201230-2-3
https://doi.org/10.4064/ba201230-2-3
Autor:
Jan Dymara
Several classical formulae for the growth series of a Coxeter group are proved in a new way, using the structure of the Coxeter complex, the Davis complex, or the Tits non-complex.
7 pages
7 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39113c326f8cae36d1c60b4c168cdf41
http://arxiv.org/abs/2012.10808
http://arxiv.org/abs/2012.10808
Autor:
Uri Bader, Jan Dymara
Publikováno v:
Journal of Modern Dynamics. 10:413-437
We study the unitary boundary representation of a strongly transitive group acting on a right-angled hyperbolic building. We show its irreducibility. We do so by associating to such a representation a representation of a certain Hecke algebra, which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::850f227bd17f46b11898be30d63a0a42
https://doi.org/10.3934/jmd.2016.10.413
https://doi.org/10.3934/jmd.2016.10.413
Autor:
Jan Dymara
Publikováno v:
Proceedings of the American Mathematical Society. 132:1839-1843
For an infinite building whose Davis chamber is an orientable, gallery connected pseudomanifold (with boundary), we calculate the top-dimensional L 2 -Betti number. This gives a complete determination of L 2 -Betti numbers for 2-dimensional, right-an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19a3284f36e831c3ed32786f20086993
https://doi.org/10.1090/s0002-9939-03-07234-4
https://doi.org/10.1090/s0002-9939-03-07234-4
Autor:
Tadeusz Januszkiewicz, Jan Dymara
Publikováno v:
Inventiones mathematicae. 150:579-627
Buildings were created by Tits. They serve as a vehicle for understanding real semi-simple groups and their p-adic analogs. These are undoubtedly the two most interesting cases, but existing constructions provide many more interesting examples, some
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59bd367a8a579c99a81039c6307b8635
https://doi.org/10.1007/s00222-002-0242-y
https://doi.org/10.1007/s00222-002-0242-y
Autor:
Tadeusz Januszkiewicz, Jan Dymara
Publikováno v:
Geometriae Dedicata. 80:311-317
The group of simplicial automorphisms of a Tits–Kac–Moody infinite building of thickness q associated to a cocompact reflexion group with fundamental domain a simplex, is Kazhdan for q sufficiently large. Thus we obtain families of new Kazhdan gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::722a670aa2318d5552364ad637f3c0b7
https://doi.org/10.1023/a:1005255003263
https://doi.org/10.1023/a:1005255003263
We compute the compactly supported cohomology of the standard realization of any locally finite building. MathematicsSubjectClassification(2010). Primary 20F65; Secondary 20E42, 20F55, 20J06, 57M07.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5aabb70657081ea522c497c9a54ea921
Autor:
Jan Dymara, Thomas Schick
In this note, we show that the asymptotic dimension of any building is finite and equal to the asymptotic dimension of an apartment in that building.
Comment: 4 pages; v2: typos corrected, to appear in Russian Journal of Mathematical Physics, sp
Comment: 4 pages; v2: typos corrected, to appear in Russian Journal of Mathematical Physics, sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc9115190c7dcfd5a7a89a87f3c3083b
http://arxiv.org/abs/math/0703199
http://arxiv.org/abs/math/0703199
Autor:
Jan Dymara, Damian Osajda
We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. Corollary: the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
35 pages
35 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd01c872f117de5a82fe6b20f9deedd8
http://arxiv.org/abs/math/0610114
http://arxiv.org/abs/math/0610114
Autor:
Jan Dymara
Publikováno v:
Geom. Topol. 10, no. 2 (2006), 667-694
Let X be a building of uniform thickness q+1. L^2-Betti numbers of X are reinterpreted as von-Neumann dimensions of weighted L^2-cohomology of the underlying Coxeter group. The dimension is measured with the help of the Hecke algebra. The weight depe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ad405b5dde9d759a81489ec1b549ebe