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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: quan...
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De Gruyter
2021
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oapen-20.500.12657-515312023-02-01T09:02:23Z Invariant Differential Operators Dobrev, Vladimir K. Science Physics Quantum Theory Mathematics bic Book Industry Communication::P Mathematics & science::PH Physics::PHQ Quantum physics (quantum mechanics & quantum field theory) bic Book Industry Communication::P Mathematics & science::PB Mathematics 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. 2021-11-16T05:31:31Z 2021-11-16T05:31:31Z 2017 book 9783110427707 https://library.oapen.org/handle/20.500.12657/51531 eng application/pdf n/a external_content.pdf De Gruyter De Gruyter https://doi.org/10.1515/9783110427707 https://doi.org/10.1515/9783110427707 2b386f62-fc18-4108-bcf1-ade3ed4cf2f3 9783110427707 Knowledge Unlatched (KU) De Gruyter open access |
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English |
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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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2021 |
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