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Title: The R-matrix of quantum doubles of Nichols algebras of diagonal type

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.
Authors:
 [1] ;  [2]
  1. FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba Medina Allende s/n, Ciudad Universitaria (5000) Córdoba (Argentina)
  2. University of Toyama, Faculty of Science, Gofuku 3190, Toyama-shi, Toyama 930-8555 (Japan)
Publication Date:
OSTI Identifier:
22403094
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; GROUP THEORY; QUANTUM GROUPS; R MATRIX; WEIGHT