Quantum double construction for graded Hopf algebras

DOI10.1017/S0004972700015197zbMath0801.16037MaRDI QIDQ3137349

A. J. Bracken, Ruibin Zhang, Mark D. Gould

Publication date: 4 December 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

multiplicationantipodetensor product\(R\)-matrixquantum supergroupscounitcomultiplicationgraded Yang- Baxter equationquasitriangular \(Z_ 2\)-graded Hopf algebra

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Graded rings and modules (associative rings and algebras) (16W50)

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Cites Work

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• Solutions of the graded classical Yang-Baxter equation and integrable models