Classical Isomorphisms for Quantum Groups

Abstract

The expressions for the $\hat{R}$--matrices for the quantum groups SO${}_{q^2}$(5) and SO${}_q$(6) in terms of the $\hat{R}$--matrices for Sp${}_q$(2) and SL${}_q$(4) are found, and the local isomorphisms of the corresponding quantum groups are established.

11 pages

Cited by in corpus (5)

• Orthogonal and Symplectic Quantum Matrix Algebras and Cayley-Hamilton Theorem for them
• Quantum Deformed $su(m|n)$ Algebra and Superconformal Algebra on Quantum Superspace
• Cayley-Hamilton Theorem for Symplectic Quantum Matrix Algebras
• Braidings of Tensor Spaces
• q-deformed conformal and Poincar{é} algebras on quantum 4-spinors