New examples of proper holomorphic maps among symmetric domains

TL;DR

This paper introduces a straightforward method to generate proper holomorphic maps between symmetric domains, providing new explicit examples by leveraging relations between generalized balls and bounded symmetric domains of type I.

Contribution

It presents a novel, simple approach to constructing proper holomorphic maps between symmetric domains, expanding the known examples in this area.

Findings

New explicit examples of proper holomorphic maps between symmetric domains.

A simple method for generating such maps using relations between generalized balls and type I domains.

Enhanced understanding of the structure of proper holomorphic maps in complex analysis.

Abstract

The aim of this paper is to present a simple way to generate proper monomial rational maps between generalized balls and via the relations between generalized balls and bounded symmetric domains of type I, we suggest new examples of proper holomorphic maps between bounded symmetric domains of type I.