---
license: mit
tags:
  - kernels
  - cuda
  - kronecker-coefficients
  - symmetric-group
  - representation-theory
  - combinatorics
datasets:
  - cahlen/kronecker-coefficients
---

# Kronecker Coefficients (Symmetric Group)

Computes Kronecker coefficients g(lambda,mu,nu) for S_n from character tables via GPU-parallel triple-sum.

## Usage

```python
import torch
from kernels import get_kernel

kernel = get_kernel("cahlen/kronecker-cuda")
result = kronecker.slab(char_table, z_inv, j=0)
```

## Compile (standalone)

```bash
nvcc -O3 -arch=sm_90 -o kronecker kronecker/kronecker_gpu.cu -lm
```

## Results

All computation results are open:
- **Website**: [bigcompute.science](https://bigcompute.science)
- **Datasets**: [huggingface.co/cahlen](https://huggingface.co/cahlen)
- **Source**: [github.com/cahlen/idontknow](https://github.com/cahlen/idontknow)

## Citation

```bibtex
@misc{humphreys2026bigcompute,
  author = {Humphreys, Cahlen},
  title = {bigcompute.science: GPU-Accelerated Computational Mathematics},
  year = {2026},
  url = {https://bigcompute.science}
}
```

*Human-AI collaborative. Not peer-reviewed. All code and data open.*