,A Realization of the W1+∞ Algebra and Its n-Algebra

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We consider a realization of the W1+∞ algebra and investigate its n-algebra,which is different from the n-algebra of Zhang et al.[arXiv:1606.07570v2] It is found that the generators W~ with any fixed superindex s ≥ 1 yield the null sub-2s-algebra.The nontrivial sub-4-algebra and Virasoro-Witt 3-algebra are presented.Moreover,we extend the generators to the multi-variables case.These generators also yield the W1+∞ algebra and null n-algebras.
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