# On cyclic quiver parabolic Kostka-Shoji polynomials

**Authors:** Daniel Orr, Mark Shimozono

arXiv: 1906.06758 · 2019-06-18

## TL;DR

This paper provides an explicit combinatorial formula for specific parabolic Kostka-Shoji polynomials related to the cyclic quiver, expanding previous results by Shoji and Liu and Shoji.

## Contribution

It introduces a new combinatorial formula for cyclic quiver parabolic Kostka-Shoji polynomials, generalizing earlier work.

## Key findings

- Explicit combinatorial formula derived
- Generalization of Shoji and Liu's results
- Enhanced understanding of cyclic quiver polynomials

## Abstract

We obtain an explicit combinatorial formula for certain parabolic Kostka-Shoji polynomials associated with the cyclic quiver, generalizing results of Shoji and of Liu and Shoji.

## Full text

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## References

28 references — full list in the complete paper: https://tomesphere.com/paper/1906.06758/full.md

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Source: https://tomesphere.com/paper/1906.06758