Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Kenny De Commer"'
Publikováno v:
Forum of Mathematics, Pi, Vol 11 (2023)
We establish an equivalence between two approaches to quantization of irreducible symmetric spaces of compact type within the framework of quasi-coactions, one based on the Enriquez–Etingof cyclotomic Knizhnik–Zamolodchikov (KZ) equations and the
Externí odkaz:
https://doaj.org/article/e0191d66c009486b987ea81a050084b6
Autor:
Kenny De Commer
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 081 (2013)
Let g be a compact simple Lie algebra. We modify the quantized enveloping ∗-algebra associated to g by a real-valued character on the positive part of the root lattice. We study the ensuing Verma module theory, and the associated quotients of these
Externí odkaz:
https://doaj.org/article/86bf3720317d4d9b8f6afb7b5c2b6baa
Autor:
Johan Konings, Kenny De Commer
Publikováno v:
Algebras and Representation Theory
A coaction of a Hopf algebra on a unital algebra is called homogeneous if the algebra of coinvariants equals the ground field. A coaction of a Hopf algebra on a (not necessarily unital) algebra is called Galois, or principal, or free, if the canonica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abc050c1264898ec549f553f29753b88
https://doi.org/10.1007/s10468-019-09892-6
https://doi.org/10.1007/s10468-019-09892-6
Publikováno v:
Documenta Mathematica. 22:825-849
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3157ee62da073dde1ea1f818782804a3
https://doi.org/10.4171/dm/579
https://doi.org/10.4171/dm/579
Autor:
Matthias Floré, Kenny De Commer
Publikováno v:
Selecta Mathematica
Given a unital $$*$$ -algebra $$\mathscr {A}$$ together with a suitable positive filtration of its set of irreducible bounded representations, one can construct a C $$^*$$ -algebra $$A_0$$ with a dense two-sided ideal $$A_c$$ such that $$\mathscr {A}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af39c04567cd80954bbea64e6f8ee69f
Publikováno v:
Communications in Mathematical Physics
Let $\mathfrak u$ be a compact semisimple Lie algebra, and $\sigma$ be a Lie algebra involution of $\mathfrak u$. Let Rep$_q(\mathfrak u)$ be the ribbon braided tensor C*-category of $U_q(\mathfrak u)$-representations for $0
Comment: v2: new ref
Comment: v2: new ref
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9bc3ffdc576109d7512126a88dbfda5d
Publikováno v:
Israel Journal of Mathematics
To any action of a compact quantum group on a von Neumann algebra which is a direct sum of factors we associate an equivalence relation corresponding to the partition of a space into orbits of the action. We show that in case all factors are finite-d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c04d4126fc43556f82bf1173c98a2dce
https://doi.org/10.1007/s11856-018-1709-x
https://doi.org/10.1007/s11856-018-1709-x
Autor:
Kenny De Commer
A skew brace, as introduced by L. Guarnieri and L. Vendramin, is a set with two group structures interacting in a particular way. When one of the group structures is abelian, one gets back the notion of brace as introduced by W. Rump. Skew braces can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f340459c71575effd1703174c21cc40
http://arxiv.org/abs/1803.05826
http://arxiv.org/abs/1803.05826
Autor:
Thomas Timmermann, Kenny De Commer
Publikováno v:
Journal of Algebra. 438:283-324
Compact quantum groups of face type, as introduced by Hayashi, form a class of compact quantum groupoids with a classical, finite set of objects. Using the notions of a weak multiplier bialgebra and weak multiplier Hopf algebra (resp. due to B{\"o}hm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2c1018fb0c55dc3b41e15b89ed80bab
https://doi.org/10.1016/j.jalgebra.2015.04.039
https://doi.org/10.1016/j.jalgebra.2015.04.039
Autor:
KENNY DE COMMER1 Kenny.De-Commer@u-cergy.fr, MAKOTO YAMASHITA2 yamashita.makoto@ocha.ac.jp
Publikováno v:
Theory & Applications of Categories. 2013, Vol. 28 Issue 31, p1099-1138. 40p.