Jason K. C. Polák

activity

20142020

collaborators

4 papers

math.GR2020

A group-theoretical classification of three-tone and four-tone harmonic chords

Jason K. C. Polak

We classify three-tone and four-tone chords based on subgroups of the symmetric group acting on chords contained within a twelve-tone scale. The actions are inversion, major-minor…

math.RA2017

The Polypermutation Group of an Associative Ring

Jason K. C. Polak

We study permutation polynomials through the device of the \emph{polypermutation group} of an associative ring $R$ , denoted by $Pgr (R)$ . We derive some basic properties and c…

math.RA2017

Counting Separable Polynomials in $Z / n [x]$

Jason K. C. Polak

For a commutative ring $R$ , a polynomial $f \in R [x]$ is called separable if $R [x] / f$ is a separable $R$ -algebra. We derive formulae for the number of separable polynomials when $R…

math.RT2014

Exposing Relative Endoscopy in Unitary Symmetric Spaces

Jason K. C. Polák

We introduce a new class of symmetric space orbital integrals important for applications in certain relative trace formulas appearing in the theory of automorphic representations.…

A group-theoretical classification of three-tone and four-tone harmonic chords

The Polypermutation Group of an Associative Ring

Counting Separable Polynomials in Z/n[x]

Exposing Relative Endoscopy in Unitary Symmetric Spaces

Counting Separable Polynomials in $Z / n [x]$