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- Wuxing Cai, Naihuan Jing
- Eur. J. Comb.
- 2012

- Wuxing Cai, Naihuan Jing
- 2010

On the vertex operator algebra associated with a 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.

- Wuxing Cai, Naihuan Jing
- J. Comb. Theory, Ser. A
- 2014

Article history: Received 10 September 2012 Available online 16 April 2014

- Wuxing Cai
- J. Comb. Theory, Ser. A
- 2015

- Wuxing Cai
- J. Comb. Theory, Ser. A
- 2014

We introduce a Laplace-Beltrami type operator on the Fock space of symmetric functions and show that the Jack symmetric functions are the only family of eigenvectors of the differential operator, thus giving a new characterization of Jack polynomials. This was achieved by explicit computation of its action on generalized homogeneous symmetric functions.… (More)

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