kronecker-cuda / README.md
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CUDA kernel: kronecker-cuda
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metadata
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

import torch
from kernels import get_kernel

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

Compile (standalone)

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

Results

All computation results are open:

Citation

@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 Not peer-reviewed.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.