Research PaperNo Access

School of Mathematical Sciences, Inner Mongolia University, Hohhot, Inner Mongolia 010021, P. R. China

and

Zhaowen Yan

https://orcid.org/0000-0003-3169-3164

School of Mathematical Sciences, Inner Mongolia University, Hohhot, Inner Mongolia 010021, P. R. China

E-mail Address: yanzw@imu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0217751X24501501Cited by:0 (Source: Crossref)

Abstract

We define the generalized vertex operators expressed by charged fermions and state vectors corresponding to the n-partition. The action of the generalized vertex operators on state vectors and the generalized universal character (UC) plane partitions have been investigated by the fermion calculus techniques. Furthermore, we construct the infinite scalar product and the generating function associated with the generalized UC plane partitions.

Keywords:

PACS: 02.20.Tw, 02.30.Ik, 02.50.−r, 05.30.Fk

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