【11.29】Academic Lecture: Calculation of representation of simple Lie algebra

2013-11-27

Title: Calculation of representation of simple Lie algebra

Speaker: Prof. Zhong-Qi Ma (IHEPCAS)

Time: 3:00PM, Nov. 29th (Friday)

Place: Theoretical Physics Division319

Abstract:

In terms of the Chevalley bases, the representation matrices of generators of simple Lie algebras are able to be calculated principally. The difficulty occurs in some weights with high multiplicity.

Now, the problem is solved by the subduced representation of the simple Lie algebra with respect to A? sub-algebra. Namely, the states with the multiple weight in the representation of a simple Lie algebra can be determined by its subduced representation with respect to A?.