Representations of the coordinate ring of \(GL_ q(3)\)

DOI10.1007/BF00745152zbMath0779.17013arXivhep-th/9305085MaRDI QIDQ687557

Vahid Karimipour

Publication date: 18 October 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9305085

zbMATH Keywords

irreducible representationsquantum matrix algebracoordinate ring of \(GL_ q(3)\))

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Cites Work

• Irreducible representations of the quantum analogue of SU(2)
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Compact matrix pseudogroups
• Quantum deformations of certain simple modules over enveloping algebras
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• q-analogues of Verma representations of quantum algebras for q, a root of unity: the case of U_q(sl(3))

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