Algebra theory MOC

Tensor product of algebras

Let and be -algebras The tensor product algebra is their tensor product vector space along with the product defined by the following commutative diagram #m/def/ralg

where is the braiding morphism for . Thus

Special cases

• Tensor product of a Lie algebra and a commutative algebra is a Lie algebra

#state/tidy | #lang/en | #SemBr