Groups and Related Topics pp 129-139 | Cite as
Differential and Integral Calculus on the Quantum C-Plane
Chapter
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Abstract
Quantum space is an associtive coordination algebra Q equipped with a set F = {x i } of generators x i , i = 1,2,...n [1]. the reordering rule for generators is postulated in the so called Bethe Ansatz form [2]: where B is a ℂ-valued n 2 x n 2 matrix, x denotes the direct product and x is the column matrix built from the generators x i
$$
\left( {x \times x} \right) = B\left( {x \times x} \right)
$$
(1)
$$
x = \left[ \begin{array}{l}
{x^{1}} \\
{x^{2}} \\
\vdots \\
{x^{3}} \\
\end{array} \right]
$$
(2)
Keywords
Hopf Algebra Quantum Group Algebra Structure Differential Calculus Quantum Space
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References
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© Springer Science+Business Media Dordrecht 1992