6 papers
Rationality of twist representation zeta functions of compact -adic analytic groups
Alexander Stasinski, Michele Zordan
We prove that for any twist rigid compact -adic analytic group , its twist representation zeta function is a finite sum of terms , where are…
Rationality of representation zeta functions of compact -adic analytic groups
Alexander Stasinski, Michele Zordan
We prove that for any FAb compact -adic analytic group , its representation zeta function is a finite sum of terms , where are natural number…
Univariate and bivariate zeta functions of unipotent group schemes of type
Michele Zordan
We compute the representation and class counting zeta functions for a family of torsion-free finitely generated nilpotent groups of nilpotency class . These groups arise from a…
On representation zeta functions for special linear groups
Nero Budur, Michele Zordan
We prove that the numbers of irreducible n-dimensional complex continuous representations of the special linear groups over p-adic integers grow slower than the square of n. We ded…
Poincaré series of Lie lattices and representation zeta functions of arithmetic groups
Michele Zordan
We compute explicit formulae for Dirichlet generating functions enumerating finite-dimensional irreducible complex representations of potent and saturable principal congruence subg…
Adjoint Orbits of Matrix Groups over Finite Quotients of Compact Discrete Valuation Rings and Representation Zeta Functions
Michele Zordan
This paper gives methods to describe the adjoint orbits of on where $\mathfrak{o}_r=\mathfrak{o}/\mathfrak{p…