Chennai Mathematical Institute

Seminars




3.30 p.m.
An interesting result about finite dimensional complex semi-simple algebras

Srikanth Tupurani
Institute of Mathematical Sciences, Chennai.
03-12-13


Abstract

I will prove the following interesting result about finite dimensional complex semi-simple algebra. Let A be a finite-dimensional complex semi-simple algebra without an M_{2}(C)Â summand and let S be an involutive unital C-algebra anti-automorphism 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.





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