arXiv:1407.6646 Abstract | arXiv Analytics

arXiv:1407.6646 [math.RT]Abstract References Reviews Resources

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

Published 2014-07-24, updated 2015-01-21Version 2

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.

Comments: 12 pages, Section 2 has been reorganized, new material added in a new Section 3

Categories: math.RT

Subjects: 16D60, 16S80, 16S85

Keywords: quantum weyl algebra, quantum plane, irreducible representations, multiparameter family, arbitrary field

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