Quantum superdeterminants for OSP<sub><italic>q</italic></sub>(1|2<italic>n</italic>)

Junli LIU; Shilin YANG

doi:10.1007/s11464-010-0087-4

PDF(208 KB)

Front. Math. China ›› 2011, Vol. 6 ›› Issue (1) : 115-127. DOI: 10.1007/s11464-010-0087-4

RESEARCH ARTICLE

Quantum superdeterminants for OSP_q(1|2n)

Junli LIU ,
Shilin YANG

Author information +

History +

Abstract

It is shown that there exists a quantum superdeterminant sdet_qT for the quantum super group OSP_q(1|2n). It is also shown that the quantum superdeterminant sdet_qT is a group-like element and central, and that the square of sdet_qT for OSP_q(1|2n) is equal to 1.

Keywords

quantum superdeterminant / group-like element / quantum super group

Cite this article

EndNote

Ris (Procite)

Bibtex

Download citation ▾

Junli LIU, Shilin YANG. Quantum superdeterminants for OSP_q(1|2n). Front Math Chin, 2011, 6(1): 115‒127 https://doi.org/10.1007/s11464-010-0087-4

References

Publishing order | Descend order by publishing year | Descend order by cited within

[1]	Bergman G M. The diamond lemma for ring theory. Adv Math, 1978, 29: 178-218 CrossRef Google scholar

[2]	Fiore G. Quantum groups SO_q(N), Sp_q(n) have q-determinants, too. J Phys A Math Gen, 1994, 27: 3795-3802 CrossRef Google scholar

[3]	Hai P H. On the structure of quantum super groups GL_q(m\|n). J Algebra, 1999, 211: 363-383 CrossRef Google scholar

[4]	Hayashi T. Quantum groups and quantum determinants. J Algebra, 1992, 152: 146-165 CrossRef Google scholar

[5]	Liu J L, Yang S L. Orthosymplectic quantum function superalgebras OSP_q(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 CrossRef Google scholar