Quantum superdeterminants for OSP q(1-2n)

Junli Liu; Shilin Yang

doi:10.1007/s11464-010-0087-4

Front. Math. China ›› 2010, Vol. 6 ›› Issue (1) : 115 -127. DOI: 10.1007/s11464-010-0087-4

Research Article

RESEARCH ARTICLE

Quantum superdeterminants for OSP_q(1-2n)

Junli Liu ¹
, Shilin Yang ¹^,^b

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Abstract

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

Keywords

quantum superdeterminant / group-like element / quantum super group

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Junli Liu, Shilin Yang. Quantum superdeterminants for OSP_q(1-2n). Front. Math. China, 2010, 6(1): 115-127 DOI:10.1007/s11464-010-0087-4

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