Algebras and Representations 4.1 Representations of Associative Algebras 4.1.1 Definitions and Examples

    In this chapter we develop the basic facts about representations of associative algebras: a general version of Schur's lemma, the Jacobson density theorem, complete reducibility, the double commutant theorem, and the isotypic decomposition of a locally completely-reducible representation. We prove a general duality theorem for locally regular… CONTINUE READING