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Title: Lusztig symmetries and Poincare-Birkhoff-Witt basis for wU{sub r,s}{sup d}(osp(1|2n))

We investigate a new kind of two-parameter weak quantized superalgebra wU{sub r,s}{sup d}(osp(1|2n)), which is a weak Hopf superalgebra. It has a homomorphic image which is isomorphic to the usual two-parameter quantum superalgebra U{sub r,s}(osp(1|2n)) of osp(1|2n). We also discuss the basis of wU{sub r,s}{sup d}(osp(1|2n)) by Lusztig's symmetries.
Authors:
 [1] ;  [2] ;  [3]
  1. Mathematics and Information College, Langfang Teachers' College, Langfang 065000 (China)
  2. (China)
  3. College of Applied Sciences, Beijing University of Technology, Beijing 100124 (China)
Publication Date:
OSTI Identifier:
22217731
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; QUANTUM GROUPS; QUANTUM OPERATORS; SYMMETRY