Deformed Fourier models with formal parameters
Volume 239 / 2017
Studia Mathematica 239 (2017), 201-224
MSC: Primary 16T05; Secondary 60B15.
DOI: 10.4064/sm8580-1-2017
Published online: 26 May 2017
Abstract
The deformed Fourier matrices $H=F_M\otimes _QF_N$ with $Q\in \mathbb T^{MN}$ produce a matrix model $C(S_{MN}^+)\to M_{MN}(C(\mathbb T^{MN}))$. When $Q\in \mathbb T^{MN}$ is generic, the corresponding fiber can be investigated via algebraic techniques, and the main character law is asymptotically free Poisson. We present an alternative point of view on these questions, using formal parameters instead of generic parameters, and analytic tools.
