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Hari-Frobenius Framework (HFF)
The foundational non-abelian algebra extending standard Frobenius algebras.
The Hari-Frobenius Framework (HFF) constitutes Phase 1 of our research pipeline. It provides the theoretical foundation for modeling non-commutative, non-associative structures required for quantum state representations and advanced materials science.
Key Properties
- Non-commutative multiplication: Capturing directional dependency in abstract processes.
- Idempotent trace maps: Ensuring conservation laws apply strictly within the tensor product representations.
- Categorical equivalence: Demonstrating equivalence with 2D Topological Quantum Field Theories (TQFTs).