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</script>Hopf algebra structure on the differential algebra of the extended q-plane is defined. An algebra of forms which is obtained from the generators of the extended q-plane is introduced and its Hopf algebra structure is given.
Mathematics - Differential Geometry, Noncommutative geometry (à la Connes), quantum plane, Quantum groups (quantized enveloping algebras) and related deformations, Hopf algebra, Hopf algebras (associative rings and algebras), Geometry of quantum groups, mathematical physics, 81R60, Differential Geometry (math.DG), Noncommutative geometry methods in quantum field theory, differential calculus, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 81R60; 57T05, noncommutative geometry, 57T05
Mathematics - Differential Geometry, Noncommutative geometry (à la Connes), quantum plane, Quantum groups (quantized enveloping algebras) and related deformations, Hopf algebra, Hopf algebras (associative rings and algebras), Geometry of quantum groups, mathematical physics, 81R60, Differential Geometry (math.DG), Noncommutative geometry methods in quantum field theory, differential calculus, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 81R60; 57T05, noncommutative geometry, 57T05
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