In mathematics, an anyonic Lie algebra is a U(1) graded vector space over equipped with a bilinear operator and linear maps (some authors use ) and such that , satisfying following axioms:[1]

for pure graded elements X, Y, and Z.

References

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  1. ^ Majid, S. (21 Aug 1997). "Anyonic Lie Algebras". Czechoslov. J. Phys. 47 (12): 1241–1250. arXiv:q-alg/9708022. Bibcode:1997CzJPh..47.1241M. doi:10.1023/A:1022877616496.