|
|
Quantum superdeterminants for OSPq(1|2n) |
Junli LIU, Shilin YANG() |
Department of Applied Mathematics, Beijing University of Technology, Beijing 100124, China |
|
|
Abstract It is shown that there exists a quantum superdeterminant sdetqT for the quantum super group OSPq(1|2n). It is also shown that the quantum superdeterminant sdetqT is a group-like element and central, and that the square of sdetqT for OSPq(1|2n) is equal to 1.
|
Keywords
quantum superdeterminant
group-like element
quantum super group
|
Corresponding Author(s):
YANG Shilin,Email:slyang@bjut.edu.cn
|
Issue Date: 01 February 2011
|
|
1 |
Bergman G M. The diamond lemma for ring theory. Adv Math, 1978, 29: 178-218 doi: 10.1016/0001-8708(78)90010-5
|
2 |
Fiore G. Quantum groups SOq(N), Spq(n) have q-determinants, too. J Phys A Math Gen, 1994, 27: 3795-3802 doi: 10.1088/0305-4470/27/11/029
|
3 |
Hai P H. On the structure of quantum super groups GLq(m|n). J Algebra, 1999, 211: 363-383 doi: 10.1006/jabr.1998.7580
|
4 |
Hayashi T. Quantum groups and quantum determinants. J Algebra, 1992, 152: 146-165 doi: 10.1016/0021-8693(92)90093-2
|
5 |
Liu J L, Yang S L. Orthosymplectic quantum function superalgebras OSPq(2l+1|2n). Acta Math Sin (Eng Ser) (to appear)
|
6 |
Lyubashenko V V, Sudbery A. Quantum super groups of GL(n|m) type: differential forms, Koszul complexes and Berezinians. Duke Math J, 1997, 90: 1-62 doi: 10.1215/S0012-7094-97-09001-3
|
7 |
Manin Yu I. Multiparametric quantum deformation of the general linear supergroups. Comm Math Phys, 1989, 123: 163-175 doi: 10.1007/BF01244022
|
8 |
Parshall B, Wang J. Quantum Linear Groups. Mem Amer Math Soc, No 439. Providence: Amer Math Soc, 1991
|
9 |
Takeuchi M. Matric bialgebras and quantum groups. Israel J Math, 1990, 72: 232-251 doi: 10.1007/BF02764621
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|