Fock space representation of the circle quantum group

Francesco Sala, Olivier Schiffmann

In [arXiv:1711.07391] we have defined quantum groups ${\mathbf{U}}_{\upsilon }(\mathfrak{sl}(\mathbb{R}))$ and ${\mathbf{U}}_{\upsilon }(\mathfrak{sl}(S^1))$, which can be interpreted as con…