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Invariant Differential Operators

Invariant Differential Operators

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With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups.

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  1. 54 - pdf (CC BY-NC-ND) at OAPEN Library.

Keywords

  • Mathematics
  • Mathematics & science
  • Physics
  • Quantum physics (quantum mechanics & quantum field theory)
  • Quantum theory
  • Science
  • thema EDItEUR::P Mathematics and Science::PB Mathematics
  • thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory)

Links

DOI: 10.1515/9783110427707

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