Non-degenerate Symmetric Invariant Bilinear Forms on the Deformative Schr\"odinger-Virasoro Algebras

TL;DR

This paper classifies all non-degenerate symmetric invariant bilinear forms on deformative Schr"odinger-Virasoro algebras, providing a complete understanding of their algebraic structure.

Contribution

It explicitly determines all such bilinear forms on these algebras, a novel classification in the context of deformative Schr"odinger-Virasoro structures.

Findings

Complete classification of bilinear forms achieved

Identifies conditions for non-degeneracy and invariance

Enhances understanding of algebraic symmetries

Abstract

In the present paper we shall determine all the non-degenerate symmetric invariant bilinear forms on the deformative Schr\"odinger-Virasoro algebras.