Biquantization techniques for computing characters of differential operators on Lie groups

TL;DR

This paper demonstrates that the biquantization character of Cattaneo-Torossian matches the standard harmonic analysis character, providing a new approach to character formulas for differential operators on Lie groups.

Contribution

It establishes the equivalence between biquantization and harmonic analysis characters, offering a novel proof and precise character formulas for differential operators on Lie groups.

Findings

Biquantization character equals harmonic analysis character

Provides a new proof for character formulas

Treats an old example with a precise character formula

Abstract

We sketch the proof that the biquantization character of Cattaneo-Torossian equals a standard character computed in harmonic analysis. An old example is treated this way to produce a precise character formula.