An anyonic Lie algebra is a U(1) graded vector space L over C equipped with a bilinear operator [.,.] and linear maps ε:L->C and Δ:L->L⊗L satisfying

1. ε([X,Y])=ε(X)ε(Y)

for pure graded elements X, Y and Z.

See also

• Lie algebra
• Mathematics
• List of mathematics topics