Wreath Product Symmetric Functions

Abstract

We systematically study wreath product Schur functions and give a combinatorial construction using colored partitions and tableaux. The Pieri rule and the Littlewood-Richardson rule are studied. We also discuss the connection with representations of generalized symmetric groups.

20 pages

References in corpus (1)

• Vertex representations via finite groups and the McKay correspondence

Cited by in corpus (6)

• Polynomial Tau-functions of the KP, BKP, and the s-Component KP Hierarchies
• Lattice structure of modular vertex algebras
• Wreath Product Generalizations of the Triple $(S_{2n},H_n,\varphi )$ and Their Spherical Functions
• Kostka multiplicity one for multipartitions
• Characters of $G{L}_n({\mathbb{F}}_q)$ and vertex operators
• Calibrated representations of affine Yokonuma-Hecke algebras