feat: Group isomorphisms, Haar sampling, ergonomics#8
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gestelllabs wants to merge 12 commits intomainfrom
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feat: Group isomorphisms, Haar sampling, ergonomics#8gestelllabs wants to merge 12 commits intomainfrom
gestelllabs wants to merge 12 commits intomainfrom
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Structure-preserving conversions between equivalent representations: - SU2 ↔ SUN<2>: direct matrix copy (same basis ordering) - Su2Algebra ↔ SunAlgebra<2>: direct coefficient copy - SU3 ↔ SUN<3>: direct matrix copy - Su3Algebra ↔ SunAlgebra<3>: with Gell-Mann↔grouped permutation - UnitQuaternion ↔ SU2: anti-homomorphism (standard physics convention) 16 tests verify roundtrip identity, composition homomorphism, exp commutativity, inverse preservation, and bracket commutativity.
- Mul<G> for G (owned * owned) on SU2, SU3, SO3, SUN, U1, RPlus - Product impl enables path.iter().product::<G>() for composing sequences of group elements (parallel transport, holonomy)
- SO(3): quaternion sampling via SU(2)→SO(3) double cover - SU(N): Mezzadri (2007) algorithm — random Gaussian matrix, QR, fix det - SU(3): delegates to SUN<3>::random_haar via From conversion Enables Monte Carlo sampling for all compact gauge groups.
- basics.rs: group ops, exp/log, holonomy via iter::product, BCH - random_sampling.rs: Haar sampling for SU(2)/SO(3)/SU(3)/SU(4), statistical verification of <tr(U)> → 0 - bch_vs_exp.rs: BCH convergence at each order vs exact exp·exp
- Generate Cargo.lock before audit (library crate, lockfile gitignored) - Remove deprecated deny.toml fields (unmaintained/yanked/notice) - Fix broken intra-doc link in SU3::random_haar - Gate examples on required-features = ["rand"]
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Toward v0.3.0 feature parity:
Fromimpls: SU2↔SUN<2>, SU3↔SUN<3>, UnitQuaternion↔SU2random_haar()for SO(3), SU(3), SU(N) (Mezzadri 2007)iter::Productand ownedMulfor all groupspreludemodule, richerDisplay, three worked examples