Zobrazeno 1 - 10
of 228
pro vyhledávání: '"Kula, Anna"'
Publikováno v:
J. London Math. Soc. (2) 2024;109:e12898
We find a finite free resolution of the counit of the free unitary quantum groups of van Daele and Wang and, more generally, Bichon's universal cosovereign Hopf algebras with a generic parameter matrix. This allows us to compute Hochschild cohomology
Externí odkaz:
http://arxiv.org/abs/2309.07767
Autor:
Saimoto, Shigeo, Inal, Kaan, Diak, Bradley J., Kula, Anna, Niewczas, Marek, Langille, Michael R.
Publikováno v:
In Materialia March 2024 33
Publikováno v:
Annales de l'Institut Fourier, Volume 73 (2023) no. 2, pp. 479-509
We compute the second (and the first) cohomology groups of $^*$-algebras associated to the universal quantum unitary groups of not neccesarily Kac type, extending our earlier results for the free unitary group $U_d^+$. The extended setup forces us to
Externí odkaz:
http://arxiv.org/abs/2104.07933
Publikováno v:
In Materials Science & Engineering A January 2024 890
Publikováno v:
Indiana Univ. Math. J. 72 No. 4 (2023), 1717-1748
We provide a Hunt type formula for the infinitesimal generators of L\'evy process on the quantum groups $SU_q(N)$ and $U_q(N)$. In particular, we obtain a decomposition of such generators into a gaussian part and a `jump type' part determined by a li
Externí odkaz:
http://arxiv.org/abs/2009.06323
Akademický článek
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Publikováno v:
In Materials Today Communications March 2023 34
Autor:
Skibińska, Katarzyna, Wojtaszek, Konrad, Krause, Lukas, Kula, Anna, Yang, Xuegeng, Marzec, Mateusz M., Wojnicki, Marek, Żabiński, Piotr
Publikováno v:
In Applied Surface Science 1 January 2023 607
Publikováno v:
Infinite Dimensional Analysis, Quantum Probability and Related Topics Vol. 21, No. 03, 1850017 (2018)
We study the first and second cohomology groups of the $^*$-algebras of the universal unitary and orthogonal quantum groups $U_F^+$ and $O_F^+$. This provides valuable information for constructing and classifying L\'evy processes on these quantum gro
Externí odkaz:
http://arxiv.org/abs/1711.02755
Autor:
Cebula, Filip, Wojtaszek, Konrad, Shabbir, Hasan, Kula, Anna, Pędzich, Zbigniew, Kornaus, Kamil, Małecki, Stanisław, Kołczyk-Siedlecka, Karolina, Socha, Robert P., Escribà-Gelonch, Marc, Rogóż, Katarzyna, Goodsite, Michael, Hessel, Volker, Wojnicki, Marek
Publikováno v:
In Sustainable Materials and Technologies September 2022 33