The Bigraded Fusion Algebra of the Prime Hypercube B₃, ₂

Key Points

• The objective is to construct and analyze the bigraded fusion algebra of the prime hypercube B_{3,2}.
• Constructed the bigraded fusion algebra of B_{3,2}.
• Classified the automorphism group associated with the algebra.
• Computed the full Laplacian spectrum of the hypercube.
• Presented a complete classification of the automorphism group.
• Determined the full Laplacian spectrum, providing insights into the algebraic properties.