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arXiv · 1507.00760

Noncommutative Galois Extension and Graded q-Differential Algebra

Viktor Abramov
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Abstract

We show that a semi-commutative Galois extension of a unital associative algebra can be endowed with the structure of a graded q-differential algebra. We study the first and higher order noncommutative differential calculus of semi-commutative Galois extension induced by the graded q-differential algebra. As an example we consider the quaternions which can be viewed as the semi-commutative Galois extension of complex numbers.

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Viktor Abramov. 2015-07-01. Noncommutative Galois Extension and Graded q-Differential Algebra. https://arxiv.org/abs/1507.00760

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