Combinatorics and Arithmetic for Physics: special days 2023

Collection Combinatorics and Arithmetic for Physics: special days 2023

Organizer(s) Gérard H. E. DUCHAMP, Maxim KONTSEVICH, Gleb KOSHEVOY, Sergei NECHAEV and Karol A. PENSON

Date(s) 15/11/2023 - 17/11/2023

linked URL https://www-lipn.univ-paris13.fr/~duchamp/Conferences/CAP10_2023.html

00:00:00 / 00:00:00

1 27

Fock spaces associated with Coxeter groups of type B

By Marek Bożejko

Fock spaces

In the talk we give the construction of Fock space related to the infinite hyperoctahedral group,which is related to the two-parameters function $F(q_+, q_−)$. We show that $F(q_+, q_−)$. is positive definite if and only if it is an extreme character of the infinite hyperoctahedral group and we classify the corresponding set of parameters $q_+$ and $q_−$. We apply our construction to a cyclic Fock space of type B, generalizing the results of Bozejko and Guta.

Information about the video

Date of recording 15/11/2023
Date of publication 16/11/2023
Institution IHES
Language English
Audience Researchers
Format MP4

Domain(s)

Functional Analysis

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