3.30 p.m. An interesting result about finite dimensional complex semisimple algebras Srikanth Tupurani Institute of Mathematical Sciences, Chennai. 031213 Abstract I will prove the following interesting result about finite dimensional complex semisimple algebra. Let A be a finitedimensional complex semisimple algebra without an M_{2}(C)Â summand and let S be an involutive unital Calgebra antiautomorphism of A. Then there exists an element a in A such that a and S(a) generate A as an algebra. In the proof I will use some basic results in linear algebra.
