| 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 Not peer-reviewed.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.* | |