6533b85efe1ef96bd12bff5b

RESEARCH PRODUCT

Geometrical construction of quantum groups representations

D. ArnalN. Bel-barakaBaoua O. Boukary

subject

[MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA][ MATH.MATH-QA ] Mathematics [math]/Quantum Algebra [math.QA]Mathematics - Quantum AlgebraFOS: Mathematics[MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]Quantum Algebra (math.QA)

description

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.

https://hal.archives-ouvertes.fr/hal-00010060