Thomas Curtright et al 2009 J. Phys. A: Math. Theor. 42 462001 doi:10.1088/1751-8113/42/46/462001
Multi-operator brackets acting thrice
FREE ARTICLEThomas Curtright, Xiang Jin and Luca Mezincescu
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We generalize an identity first found by Bremner for Nambu 3-brackets. For odd N-brackets built from associative operator products, we show that ![\fl [ [ A[ B_{1}\cdots B_{N}] B_{N+1}\cdots B_{2N-2}] B_{2N-1}\cdots B_{3N-3}]\\
\lo =[ [ AB_{1}\cdots B_{N-1}] [ B_{N}\cdots B_{2N-1}] B_{2N}\cdots B_{3N-3}]](http://ej.iop.org/images/1751-8121/42/46/462001/jpa330809ueq01.gif)
for any fixed A, when totally antisymmetrized over all the Bs.
- PACS
- MSC
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47B36 Jacobi (tridiagonal) operators (matrices) and generalizations
- Subjects
- Dates
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Issue 46 (20 November 2009)
Received 9 September 2009, in final form 24 September 2009
Published 22 October 2009
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Multi-operator brackets acting thrice
Thomas Curtright et al 2009 J. Phys. A: Math. Theor. 42 462001
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