The \(\text{GL}_ q(2)\) gauge theory

DOI10.1007/BF00760861zbMath0784.53050OpenAlexW2017952193MaRDI QIDQ1311013

Robert Finkelstein

Publication date: 13 January 1994

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

Full work available at URL: https://doi.org/10.1007/bf00760861

zbMATH Keywords

Yang-Mills theoryirreducible representations\(q\)-deformationphysical states

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Unified, higher-dimensional and super field theories (83E99) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)

Related Items (3)

On the Hopf structure of \(U_{p,q}(\text{gl}(1| 1))\) and the universal \(\mathcal{T}\)-matrix of \(\text{Fun}_{p,q}(\text{GL}(1| 1))\) ⋮ q-Deformation of the Coulomb problem ⋮ Duals of colored quantum universal enveloping algebras and colored universal 𝒯-matrices

Cites Work

• 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
• Differential calculus on compact matrix pseudogroups (quantum groups)

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