quiverlab

Quivers with relations and Hochschild theory, exactly, for algebraists.

Compute with the containerized application — a zero-code GUI plus a batch CLI, fully offline, using your machine's real cores and RAM — or with the self-hostable web tier for shared and queued jobs, or with the Python library. Everything runs exactly (never floating point).

• Offline app — pull one image, run gui, open localhost.
• Run on your HPC cluster — the same image runs batch configs, with checkpointed resume and rendered HTML reports.

Prefer code?

Finite-dimensional algebras kQ/I over the complex numbers (exactly — no floating point, ever) and all finite fields: certified finite-dimensionality, Hochschild (co)homology with cup products and Gerstenhaber brackets, the first full Chouhy–Solotar resolution, module Ext, Cartan/Coxeter invariants, drawings, and worked-steps traces.

from quiverlab import Quiver, CC

Q = Quiver(vertices=[1, 2, 3], arrows={"a": (1, 2), "b": (2, 3), "c": (1, 3)})
A = Q.algebra(relations=["a*b"], field=CC)
print(A.hochschild_cohomology(3))

• Tutorials — start here (executable notebooks): 1 — Exact fields · 2 — Quivers and algebras · 3 — Hochschild theory.
• Under the hood — how each object is represented and each number produced.
• API Reference — every public function and class.
• No-code interfaces — the offline app and the self-hostable web tier (webapp/ in the repository).
• Cite — see the JOSS paper and CITATION.cff.