On Uq (sl2)-actions on the Quantum Plane

Authors

  • S. Duplij
  • S. Sinel’shchikov

DOI:

https://doi.org/10.14311/1259

Keywords:

quantum universal enveloping algebra, Hopf algebra, Verma module, representation, composition series, projection, weight

Abstract

To give the complete list of Uq (sl2)-actions of the quantum plane, we first obtain the structure of quantum plane automorphisms. Then we introduce some special symbolic matrices to classify the series of actions using the weights. There are uncountably many isomorphism classes of the symmetries. We give the classical limit of the above actions.

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Published

2010-01-05

Issue

Vol. 50 No. 5 (2010)

Section

Articles

How to Cite

Duplij, S., & Sinel’shchikov, S. (2010). On Uq (sl2)-actions on the Quantum Plane. Acta Polytechnica, 50(5). https://doi.org/10.14311/1259