This approach considers the chain of symmetric groups 1 s 1. A particularly illuminating approach to the study of the representation theory of cs n was given by okounkov and vershik in ov96, where they. Curve counting, geometric representation theory, and quantum integrable systems l. Notes on the vershikokounkov approach to the representation. Enumerative geometry and geometric representation theory clay. A new approach to representation theory of symmetric.
Pdf a new approach to representation theory of symmetric. Okounkov, a new approach to the representation theory of the symmetric groups. A new approach to the representation thoery of the symmetric. The main task of any representation theory of the symmetric groups is to explain. A new approach to the representation theory of the symmetric. We believe that representation theory of the symmetric groups must statisfy. The banff international research station will host the okounkov bodies and applications workshop from february 2nd to february 7th, 2014. Ok96, the theory of okounkov bodies has been widely developed in recent years, in connection with other research topics such as representation theory, asymptotics of linear series and positivity. The inductive approach to the representation theory of symmetric groups was done by okounkov and vershik in 18, 28. The present paper is a revised russian translation of the paper a new approach to representation theory of symmet ric groups. A new approach to the representation theory of the. A new approach to representation theory of symmetric groups.