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Quantum Group Language


Definition of quantum group 

Generating element: a, b, c, d
Relation: ba = qab,  ca = qac
              bd = q-1db,  cd = q-1dc
              bc = cb, ad - qbc = da - qbc = 1

Coproduct:  Δa   Δb           a     b           a     b
                (            )   = (             ) χ  (           )
                  Δc   Δd           c      d          c      d

    Δa = a  X a + b x c


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