Homological Properties of Color Lie Superalgebras

  title={Homological Properties of Color Lie Superalgebras},
  author={Kenneth Price},
Let L = L+ ⊕ L− be a finite dimensional color Lie superalgebra over a field of characteristic 0 with universal enveloping algebra U(L). We show that gldim(U(L+)) = lFPD(U(L)) = rFPD(U(L)) = injdimU(L)(U(L)) = dim(L+). We also prove that U(L) is Auslander-Gorenstein and Cohen-Macaulay and thus that it has a QF classical quotient ring.