Particles and quantum symmetries (Q1305717)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Particles and quantum symmetries |
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Particles and quantum symmetries (English)
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5 July 2000
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The author introduces Hopf algebras and especially coquasitriangular Hopf algebras. The action and coaction is defined. Thereafter, this algebraic structure is connected for the groups \(G=Z_n\oplus\cdots\oplus Z_n\) (\(N\) factors) to an algebraic model for integer and fractional quantum Hall effect. Explicit examples for filling factors \(1/2\), \(1/3\) and \(2/3\) are given.
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quantum symmetries
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Pauli principle
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quantum commutativity
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integer quantum Hall effect
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coquasitriangular Hopf algebras
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actions
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coactions
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fractional quantum Hall effect
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filling factors
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