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arXiv · 1407.6646

A multiparameter family of irreducible representations of the quantum plane and of the quantum Weyl algebra

Samuel A. Lopes·João N. P. Lourenço
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Abstract

We construct a family of irreducible representations of the quantum plane and of the quantum Weyl algebra over an arbitrary field, assuming the deformation parameter is not a root of unity. We determine when two representations in this family are isomorphic, and when they are weight representations, in the sense of Bavula.

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BibTeXRIS

Samuel A. Lopes, João N. P. Lourenço. 2015-01-21. A multiparameter family of irreducible representations of the quantum plane and of the quantum Weyl algebra. https://arxiv.org/abs/1407.6646

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