English

Representation growth of the Heisenberg group over $\mathcal{O}[x]/(x^n)$

Group Theory 2015-08-17 v1 Number Theory Representation Theory

Abstract

We present a conjectured formula for the representation zeta function of the Heisenberg group over O[x]/(xn)\mathcal{O}[x]/(x^n) where O\mathcal{O} is the ring of integers of some number field. We confirm the conjecture for n3n\leq 3 and raise several questions.

Keywords

Cite

@article{arxiv.1508.03507,
  title  = {Representation growth of the Heisenberg group over $\mathcal{O}[x]/(x^n)$},
  author = {Duong Hoang Dung},
  journal= {arXiv preprint arXiv:1508.03507},
  year   = {2015}
}