Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Leonid Vainerman"'
Autor:
Leonid Vainerman
The book contains seven refereed research papers on locally compact quantum groups and groupoids by leading experts in the respective fields. These contributions are based on talks presented on the occasion of the meeting between mathematicians and t
Autor:
Leonid Vainerman, Dmitri Nikshych
Publikováno v:
Journal of Functional Analysis. 178:113-142
We establish a Galois correspondence for finite quantum groupoid actions on II_1 factors and show that every finite index and finite depth subfactor is an intermediate subalgebra of a quantum groupoid crossed product. Moreover, any such a subfactor i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1dacd80134630f31ab2cec524987ddf
https://doi.org/10.1006/jfan.2000.3650
https://doi.org/10.1006/jfan.2000.3650
Autor:
Leonid Vainerman
Publikováno v:
Communications in Mathematical Physics. 191:697-721
We describe the twisting construction with the help of 2-cocycles on Hopf–von Neumann and George Kac algebras; we show that twisted Kac algebras are again Kac algebras. Using this construction, we give a wide class of new quantizations of the Heise
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35911b8ae8a1906ac3dd394146e62aec
https://doi.org/10.1007/s002200050284
https://doi.org/10.1007/s002200050284
Autor:
Michel Enock, Leonid Vainerman
Publikováno v:
Communications in Mathematical Physics. 178:571-595
Some examples of quantum groups in literature arise as deformations of a locally compact group by a “dual” 2-cocycle. We make this construction in the framework of Kac algebras; we show that these deformations are still Kac algebras; using this c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce177a0e53bb9c3e6c17a1903d527a7f
https://doi.org/10.1007/bf02108816
https://doi.org/10.1007/bf02108816
Autor:
Leonid Vainerman
Publikováno v:
Reports on Mathematical Physics. 35:303-326
We give an algebraic construction of double cosets of a pair of Hopf algebras and their epimorphism. In the case of Hopf C∗-algebras, we consider connections of this construction with generalized shift operators, hypercomplex systems and hypergroup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::978bf4c4de85d678c57355fdf0fdf320
https://doi.org/10.1016/0034-4877(96)89291-3
https://doi.org/10.1016/0034-4877(96)89291-3
Autor:
Leonid Vainerman
Publikováno v:
Applications of Hypergroups and Related Measure Algebras. :373-394
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f515a75d43e3dc10cc6c672e1aabfb7
https://doi.org/10.1090/conm/183/02073
https://doi.org/10.1090/conm/183/02073
Autor:
Leonid Vainerman, Jean-Michel Vallin
Publikováno v:
Banach Center Publications
Banach Center Publications, 2012, Operator Algebras And Quantum Groups, 98, pp.343-366
Banach Center Publications, 2012, Operator Algebras And Quantum Groups, 98, pp.343-366
We give a classification of Z/2Z-graded fusion categories whose 0-component is a pointed fusion category. A number of concrete examples is considered.
Comment: This article will be published by the Banach Center Publications
Comment: This article will be published by the Banach Center Publications
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c74ffbd268b596f1779ccc62a247577b
https://hal.archives-ouvertes.fr/hal-01146902
https://hal.archives-ouvertes.fr/hal-01146902
Autor:
Vladimir Turaev, Leonid Vainerman
We prove that if two Tambara-Yamagami categories TY(A,\chi,\nu) and TY(A',\chi',\nu') give rise to the same state sum invariants of 3-manifolds and the order of one of the groups A, A' is odd, then \nu=\nu' and there is a group isomorphism A\approx A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::262b1f8fb9edc085d38fa43e904143d4
Autor:
Leonid Vainerman, Pierre Fima
We construct a one parameter deformation of the group of 2×2 upper triangular matrices with determinant 1 using the twisting construction. An interesting feature of this new example of a locally compact quantum group is that the Haar measure is defo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d5d109bfde12ece560016a1f73b9964
https://hal.archives-ouvertes.fr/hal-00204132/document
https://hal.archives-ouvertes.fr/hal-00204132/document
Autor:
Leonid Vainerman, Pierre Fima
We develop the twisting construction for locally compact quantum groups. A new feature, in contrast to the previous work of M. Enock and the second author, is a non-trivial deformation of the Haar measure. Then we construct Rieffel's deformation of l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a5e583564f4b0a7f1f92b676add009f
https://hal.archives-ouvertes.fr/hal-00204131/document
https://hal.archives-ouvertes.fr/hal-00204131/document