  We calculate the quantum corrections to the Lorentz algebra for chiral Weyl
fermions interacting with an external $U(1)$ gauge field in a background
Riemann-Cartan (RC) spacetime. This was achieved by setting up the equal-time
commutation relations (ETCR) for the canonical spin current of chiral Weyl
fermions. Furthermore, these quantum corrections lead to an order sensitive
commutator, i.e., swapping the Lorentz generators in the commutator doesn't
merely lead to a sign change, but rather a completely different correction term
to the Lorentz algebra. Thus, the algebra of Lorentz is altered due to
anomalies associated with chiral particles.
