Invariant Differential Operators : Volume 2 Quantum Groups (Volume 39)
Dobrev, Vladimir K.
Invariant Differential Operators : Volume 2 Quantum Groups (Volume 39) - De Gruyter 2017
Open Access
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.
Creative Commons
English
/doi.org/10.1515/9783110427707
https://doi.org/10.1515/9783110427707 doi
Quantum physics (quantum mechanics & quantum field theory)
Mathematics
Science Physics Quantum Theory Mathematics
Invariant Differential Operators : Volume 2 Quantum Groups (Volume 39) - De Gruyter 2017
Open Access
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.
Creative Commons
English
/doi.org/10.1515/9783110427707
https://doi.org/10.1515/9783110427707 doi
Quantum physics (quantum mechanics & quantum field theory)
Mathematics
Science Physics Quantum Theory Mathematics