Quantum moment maps and symmetric bounded domains quantizations

TL;DR

This paper presents a method to explicitly construct invariant deformation quantizations on symmetric bounded domains, advancing the mathematical understanding of quantization in these geometric settings.

Contribution

It introduces a new explicit construction for invariant deformation quantizations on symmetric bounded domains, filling a gap in the existing mathematical framework.

Findings

Explicit construction method for invariant deformation quantizations

Applicable to arbitrary symmetric bounded domains

Enhances understanding of geometric quantization processes

Abstract

We introduce an explicit construction for realizing of the space of invariant deformation quantizations on an arbitrary symmetric bounded domain.