3 papers
math.RT2026
Howe duality over finite fields III: Full computation and the Gurevich-Howe conjectures
Sophie Kriz
In this third paper in a series on type I Howe duality for finite fields, we give a complete description of the restriction of the oscillator representation over a finite field to…
math.RT2026
Howe duality over finite fields II: Explicit stable computation
Sophie Kriz
In this second paper of a series dedicated to type I Howe duality for finite fields, we explicitly describe the eta and zeta correspondences constructed in the first paper in terms…
math.RT2026
Howe duality over finite fields I: The two stable ranges
Sophie Kriz
This is the first in a series of papers on type I Howe duality for finite fields, concerning the restriction of an oscillator representation of the symplectic group to a product of…