The R-matrix of quantum doubles of Nichols algebras of diagonal type
Journal Article
·
· Journal of Mathematical Physics
- FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba Medina Allende s/n, Ciudad Universitaria (5000) Córdoba (Argentina)
- University of Toyama, Faculty of Science, Gofuku 3190, Toyama-shi, Toyama 930-8555 (Japan)
Let H be the quantum double of a Nichols algebra of diagonal type. We compute the R-matrix of 3-tuples of modules for general finite-dimensional highest weight modules over H. We also calculate a multiplicative formula for the universal R-matrix when H is finite dimensional. We show the unicity of a PBW basis (or a Lusztig-type Poincaré-Birkhoff-Witt basis) with a given convex order.
- OSTI ID:
- 22403094
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 56; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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