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On the KAK Decomposition and Equivalence Classes

quant-ph · 2026-05-11 · unverdicted · novelty 6.0

For SU(4), local equivalence classes under SU(2)⊗SU(2) multiplication are not geometrically represented by the Weyl chamber; that chamber appears only under projective-local equivalence that ignores global phases.

Super Krawtchouk Polynomials via Lie Superalgebras

math.RT · 2026-05-05 · unverdicted · novelty 6.0

Multivariate super Krawtchouk polynomials are defined via representations of the general linear Lie superalgebra, with proofs of orthogonality, recurrence relations, and links to fermionic Fock-space zonal spherical functions.

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Showing 4 of 4 citing papers after filters.

  • Nonparametric Riemannian Empirical Bayes, and Denoising Measurements on Manifolds math.ST · 2026-06-09 · unverdicted · none · ref 1

    Introduces tangential Bayes denoiser for Riemannian Gaussian mixtures on manifolds via spectral Laplace-Beltrami approximation, with nearly Bayes risk in low noise and minimax optimality on the circle.

  • On the KAK Decomposition and Equivalence Classes quant-ph · 2026-05-11 · unverdicted · none · ref 11

    For SU(4), local equivalence classes under SU(2)⊗SU(2) multiplication are not geometrically represented by the Weyl chamber; that chamber appears only under projective-local equivalence that ignores global phases.

  • Super Krawtchouk Polynomials via Lie Superalgebras math.RT · 2026-05-05 · unverdicted · none · ref 11

    Multivariate super Krawtchouk polynomials are defined via representations of the general linear Lie superalgebra, with proofs of orthogonality, recurrence relations, and links to fermionic Fock-space zonal spherical functions.

  • The conflated expression graph for an arbitrary permutation math.CO · 2026-05-31 · unverdicted · none · ref 141

    The conflated expression graph for an arbitrary permutation has unique min and max elements, and every reduced expression lies on a maximal chain from source to sink.