On the Siegel-Weil Theorem for Loop Groups (II)

TL;DR

This paper formulates and proves the Siegel-Weil formula specifically for loop groups, extending classical results to an infinite-dimensional setting.

Contribution

It introduces a new formulation of the Siegel-Weil formula for loop groups and provides a proof, advancing the understanding of automorphic forms in infinite-dimensional contexts.

Findings

Established the Siegel-Weil formula for loop groups

Extended classical automorphic form theory to infinite-dimensional groups

Provided foundational results for future research in loop group representations

Abstract

We formulate and prove the Siegel-Weil formula for loop groups.