Irreducible Representations of the Quantum Weyl Algebra at Roots of Unity Given by Matrices

DOI10.1080/00927872.2012.758266zbMath1291.16027arXiv1203.1959OpenAlexW2963093347MaRDI QIDQ5412064

Linhong Wang, Blaise J. Heider

Publication date: 25 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1959

zbMATH Keywords

quantum Weyl algebrasirreducible representations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ring-theoretic aspects of quantum groups (16T20)

Cites Work

• Finite-dimensional simple modules over certain iterated skew polynomial rings
• Weight modules over generalized Weyl algebras
• Explicit representation theory of the quantum weyl algebra at roots of 1

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