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

Journal Article · Sun Dec 15 00:00:00 EST 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4852355· OSTI ID:22217731

Liu, Junli ^[1]; Yang, Shilin ^[2]

---

1. Mathematics and Information College, Langfang Teachers' College, Langfang 065000 (China)
2. College of Applied Sciences, Beijing University of Technology, Beijing 100124 (China)

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.

• OSTI ID: 22217731
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
QUANTUM GROUPS
QUANTUM OPERATORS
SYMMETRY