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pro vyhledávání: '"Habbestad, Erik"'
Autor:
Habbestad, Erik, Neshveyev, Sergey
We apply Majid's transmutation procedure to Hopf algebra maps $H \to \mathbb C[T]$, where $T$ is a compact abelian group, and explain how this construction gives rise to braided Hopf algebras over quotients of $T$ by subgroups that are cocentral in $
Externí odkaz:
http://arxiv.org/abs/2304.00494
Autor:
Habbestad, Erik, Neshveyev, Sergey
We complete our analysis of the Temperley-Lieb subproduct systems, which define quantum analogues of Arveson's $2$-shift, by extending the main results of the previous paper to the general parameter case. Specifically, we show that the associated Toe
Externí odkaz:
http://arxiv.org/abs/2212.08512
Autor:
Habbestad, Erik, Neshveyev, Sergey
We introduce a class of subproduct systems of finite dimensional Hilbert spaces whose fibers are defined by the Jones-Wenzl projections in Temperley-Lieb algebras. The quantum symmetries of a subclass of these systems are the free orthogonal quantum
Externí odkaz:
http://arxiv.org/abs/2111.10911
We clarify the relation between noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of quantum groups. Specifically, given a compact quantum group $G$, we show that in many cases where the Poisson boundary of the dual discrete quantum
Externí odkaz:
http://arxiv.org/abs/2105.03175
Publikováno v:
In Journal de mathématiques pures et appliquées March 2022 159:313-347
Autor:
Habbestad, Erik, Neshveyev, Sergey
Publikováno v:
IMRN: International Mathematics Research Notices; Jun2024, Vol. 2024 Issue 11, p9142-9164, 23p
Akademický článek
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Autor:
Habbestad, Erik
Publikováno v:
Habbestad, Erik. Asymptotic representation theory of the infinite quantum symmetric group. Master thesis, University of Oslo, 2019
Externí odkaz:
http://hdl.handle.net/10852/69646
https://www.duo.uio.no/bitstream/handle/10852/69646/1/master_duo.pdf
https://www.duo.uio.no/bitstream/handle/10852/69646/1/master_duo.pdf