A W algebra is a higher spin extension of the Virasoro algebra.
Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch, The $W_3$ algebra: modules, semi-infinite cohomology, and BV algebras, Lec. Notes in Phys. 42, Springer 1996
Wikipedia, W-algebra
Relation to Jordan algebra is discussed in
Relation to L-infinity algebras is discussed in
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