On vertex operator realizations of Jack functions
Abstract
On the vertex operator algebra associated with rank one lattice we derive a general formula for products of vertex operators in terms of generalized homogeneous symmetric functions. As an application we realize Jack symmetric functions of rectangular shapes as well as marked rectangular shapes.
 Publication:

arXiv eprints
 Pub Date:
 February 2010
 DOI:
 10.48550/arXiv.1002.1350
 arXiv:
 arXiv:1002.1350
 Bibcode:
 2010arXiv1002.1350C
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Combinatorics;
 05E05;
 17B69;
 05E10
 EPrint:
 16 pages