Algebra Seminar

The Capelli identities were found more than a hundred years ago and played important roles in the classical invariant theory. Even in recent years, various generalizations of Capelli identities have been discussed by several authors. They have revealed some new aspects to look at again the classical identities themselves. Two typical viewpoints are from the representation theoretic side and from the formal computational side. In my talk, I will review some of these generalizations and approaches, and discuss the related problems.