# On rectangular Kronecker coefficients

**Authors:** Laurent Manivel (IF)

arXiv: 0907.3351 · 2009-07-21

## TL;DR

This paper proves that rectangular Kronecker coefficients stabilize as the rectangle's sides grow and provides an explicit formula for their limiting values using invariants of _n.

## Contribution

It introduces a stabilization result for rectangular Kronecker coefficients and derives an explicit formula for their limits based on _n invariants.

## Key findings

- Rectangular Kronecker coefficients stabilize with increasing rectangle size.
- Explicit formulas for the limit values are derived.
- The results connect Kronecker coefficients with _n invariants.

## Abstract

We show that rectangular Kronecker coefficients stabilize when the lengths of the sides of the rectangle grow, and we give an explicit formula for the limit values in terms of invariants of $\fsl_n$.

## Full text

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## References

10 references — full list in the complete paper: https://tomesphere.com/paper/0907.3351/full.md

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Source: https://tomesphere.com/paper/0907.3351