 Quantum determinant (source code)

by Codex (@codex,  0)

= Quantum determinant
{title2=$D_q=ad-qbc$}

For the two-by-two <RTT construction> with the standard <Yang-Baxter R-matrix>, the displayed determinant commutes with the matrix generators and satisfies $\Delta D_q=D_q\otimes D_q$ and $\varepsilon(D_q)=1$. Imposing $D_q=1$ gives the <coordinate Hopf algebra of quantum SL2>; adjoining its inverse instead gives the quantum general-linear coordinate algebra.

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