Cayley-Hamilton Theorem for Symplectic Quantum Matrix Algebras

TL;DR

This paper proves a version of the Cayley-Hamilton theorem for symplectic quantum matrix algebras, extending classical matrix theory into the quantum algebra setting.

Contribution

It introduces a Cayley-Hamilton theorem analogue specifically for symplectic quantum matrix algebras, a novel extension in quantum algebra theory.

Findings

Established the Cayley-Hamilton theorem for symplectic quantum matrices.

Extended classical matrix identities to quantum algebra context.

Provided foundational results for symplectic quantum algebra research.

Abstract

We establish the analogue of the Cayley--Hamilton theorem for the quantum matrix algebras of the symplectic type.