Vertex Operator and Jack functions
|What||Arbeitsgemeinschaft Diskrete Mathematik|
from 15:15 to 16:45
|Where||TU-Wien, Freihaus (4., Wiedner Hauptstraße 8-10), Dissertantenraum, grüner Turm (A), 8. Stock.|
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Tommy Wuxing Cai
Abstract. We define a vertex operator associated with Jack functions. The products of the coefficients of this vertex operator form a basis of symmetric functions. This basis includes Jack functions labeled by partitions of rectangular shapes. On the other hand, based on a generalization of Newton's identity, we construct a vertex operator which diagonalizes Macdonald functions. This is joint work with Naihuan Jing (North Carolina State University).