Fock Spaces Associated with Coxeter Groups of Type B

Explore the construction of Fock spaces related to the infinite hyperoctahedral group in this 49-minute conference talk. Delve into the two-parameters function F(q+, q-) and its relationship to extreme characters of the infinite hyperoctahedral group. Learn about the classification of corresponding parameters q+ and q- and discover the application of this construction to a cyclic Fock space of type B, which generalizes previous results. Gain insights from Marek Bożejko of the Institute of Mathematics at Wroclaw University as he presents his research on Fock spaces associated with Coxeter groups of type B at the Institut des Hautes Etudes Scientifiques (IHES).