On vertex operator realizations of Jack functions

Details On vertex operator realizations of Jack functions On vertex operator realizations of Jack functions

2010-02-06

arxiv.org/abs/1002.1350v1

J. of Alg. Combin. 32 (2010), 579-595

Mathematics

Quantum Algebra

16 pages

Scientific paper

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.

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