XXXIX Workshop on Geometric Methods in Physics 19.06–25.06.2022
XI School on Geometry and Physics 27.06–1.07.2022

Alice Barbora Tumpach


Banach Poisson Lie groups


We investigate the Banach Poisson Lie group structures on a family of unitary groups consisting of unitary operators on a separable Hilbert space, where the model space is the space of skew-Hermitian operators belonging to some Schatten classes, or some combination of Schatten classes. We will emphasize the following examples:
  1. the unitary group of operators which differs from the identity by a Hilbert-Schmidt operator,
  2. the restricted unitary group and the relation between its Poisson geometry and the KdV hierarchy,
  3. the whole unitary group of bounded operators.







Event sponsored by:
University
of Bialystok
University of Bialystok






Webpage by: Tomasz GolinskiTomasz Golinski