On Schur multiplier and projective representations of Heisenberg groups

2019/09/14 by Hatui, Sumana, Singla, Pooja · 2 citations
#20C25 #20F18 #20G05 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1909.06589

Abstract

In this article, we study the Schur mutiplier of the discrete as well as the finite Heisenberg groups and their t-variants. We describe the representation groups of these Heisenberg groups and through these give a construction of their finite dimensional complex projective irreducible representations.

Cited by

• On the deep commuting graph of a finite group
• On Projective Representations of Special p-groups

Related

• Projective representations of Heisenberg groups over the rings of order p²
• Projective (or spin) representations of finite groups. I
• Regular characters of GL_n(O) and Weil representations over finite fields
• Projective (or spin) representations of finite groups. II
• A Stone-von Neumann equivalence of categories for smooth representations of the Heisenberg group