Remark

Tag 00MR, permanent. Cite it as [Bourbaki, Tag 00MR].

Algebra, VIII, p. 382, § 20. Linear Representations of Algebras

When the field K is algebraically closed, we have D = K by Theorem 1 of VIII, p. 47, and $\lambda_S$ is an isomorphism of $(A$ , A)-bimodules from $S\otimes_KS^*$ to $\Theta_S(A)$ .

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Theorem 1 of VIII, p. 47