Geometrical construction of quantum groups representations

Mathematics – Quantum Algebra

Scientific paper

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16 pages, 1 figure

Scientific paper

We describe geometrically the classical and quantum inhomogeneous groups
$G_0=(SL(2, \BbbC)\triangleright \BbbC^2)$ and $G_1=(SL(2, \BbbC)\triangleright
\BbbC^2)\triangleright \BbbC$ by studying explicitly their shape algebras as a
spaces of polynomial functions with a quadratic relations.

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