IMSc Webinar

On Schur multipliers and projective representations of Heisenberg groups

Sumana Hatui

IISc, Bangalore

The study of projective representations has a long history starting with the pioneering work of Schur for finite groups which involves understanding homomorphisms from a group into the projective linear groups. In this study, an important role is played by a group called the Schur multiplier. In this talk, we shall describe the Schur multiplier of the finite as well as infinite discrete Heisenberg groups and their t-variants. We shall discuss the representation groups of these Heisenberg groups and through these give a construction of their finite-dimensional complex projective irreducible representations. This is joint work with Pooja Singla.

Zoom Meeting ID: 812 8143 7630; Zoom link: us02web.zoom.us/j/81281437630