Reductive groups, epsilon factors and Weil indices

TL;DR

This paper establishes a mathematical identity linking Weil indices and epsilon factors within the context of reductive groups over local fields, advancing understanding of their algebraic and number-theoretic properties.

Contribution

It introduces a new identity connecting Weil indices and epsilon factors for reductive groups and maximal tori over local fields, expanding theoretical frameworks.

Findings

Proves a novel identity involving Weil indices and epsilon factors.

Enhances understanding of the relationship between algebraic groups and local field invariants.

Provides tools for further research in number theory and representation theory.

Abstract

The paper proves an identity involving Weil indices and epsilon factors for a local field. The starting point is a pair consisting of a reductive group and a maximal torus.