Research group:
On classification of braided multiplicative unitaries
30 December, 2013 - 4 January, 2014, Warszawa
Organizer
S. L. Woronowicz
Programme
Abstract: A systematic study of q-deformation of semidirect
products of locally compact groups, namely C*-quantum
groups with projection, in the framework of multiplicative
unitaries give rise to the concept of braided
multiplicative unitaries, generalizing standard ones.
Quantum ax+b, az+b, E(2) due to Woronowicz, are examples
of C*-quantum group with projection. In order to
construct their respective multiplicative unitaries,
Woronowicz used quantum exponential functions as an
important tool. Moreover, in these examples quotient,
which is again a locally compact quantum group, always
correspond to a locally compact group and quantum
exponential functions play the role of braided
multiplicative unitaries. The goal of this
collaboration is to explore whether quantum exponential
functions arise naturally whenever the quotients of
C*-quantum groups with projections is a locally compact
group.
Participants
- Stanisław L. Woronowicz, Sutanu Roy