Orateur
Prof.
Marek Bożejko
(Wroclaw University)
Description
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. We then 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.
