A new approach to the representation thoery of the symmetric. The present paper is a revised russian translation of the paper a new approach to representation theory of symmet ric groups. Okounkov bodies for ample line bundles with applications. Notes on the vershikokounkov approach to the representation. We believe that representation theory of the symmetric groups must statisfy. Enumerative geometry and geometric representation theory clay. Okounkov, a new approach to the representation theory of the symmetric groups. 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. A new approach to the representation theory of the. Pdf a new approach to representation theory of symmetric. Curve counting, geometric representation theory, and quantum integrable systems l.
A new approach to representation theory of symmetric groups. A particularly illuminating approach to the study of the representation theory of cs n was given by okounkov and vershik in ov96, where they. A new approach to the representation theory of the symmetric. A new approach to representation theory of symmetric. The banff international research station will host the okounkov bodies and applications workshop from february 2nd to february 7th, 2014.
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