Field Theory on $q=-1$ Quantum Plane

Andrzej Sitarz

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arxiv q-alg/9503007 v1 pith:X24K24XC submitted 1995-03-16 q-alg math.QA

Field Theory on q=-1 Quantum Plane

Andrzej Sitarz This is my paper

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We build the $q=-1$ defomation of plane on a product of two copies of algebras of functions on the plane. This algebra constains a subalgebra of functions on the plane. We present general scheme (which could be used as well to construct quaternion from pairs of complex numbers) and we use it to derive differential structures, metric and discuss sample field theoretical models.

Field Theory on q=-1 Quantum Plane

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