Machine-checked, not peer-reviewed; no priority claim.

The collection

The results

Nine Palomar entries across three developments. Each page records the precise statement, the hypotheses, and the limits of the result.

Palomar entries

Entry links and registered source revisions.
ResultPalomar entryRepositoryCommitTheorem names
Wigner's theorem over the reals PALOMAR-2026-08-21-000001 ehrlich-b/sequential-products-lean 3c0e870eb2ac
  • WignerReal.exists_isometry_of_transProbPreserving
Albert's power-associativity theorem PALOMAR-2026-08-21-000009 ehrlich-b/sequential-products-lean 9c6d92f5fc22
  • AlbertPowerAssoc.jpow_mul_jpow
Classification of sequential products PALOMAR-2026-08-22-000006 ehrlich-b/sequential-products-lean 9c6d92f5fc22
  • TwistNormalForm.real_classification
  • TwistNormalForm.complex_classification
Koecher / Alfsen–Shultz PALOMAR-2026-08-23-000005 ehrlich-b/euclidean-jordan 58fb886dceab
  • KoecherAlfsenShultz.orderIso_preservesJordan
The Jordan spectral theorem PALOMAR-2026-08-23-000006 ehrlich-b/euclidean-jordan 58fb886dceab
  • JordanSpectral.spectral_resolution_bilinear
The Jordan trace form PALOMAR-2026-08-29-000001 ehrlich-b/euclidean-jordan a0077822f037
  • JordanTraceForm.traceForm_comm
  • JordanTraceForm.traceForm_assoc
  • JordanTraceForm.traceForm_self_nonneg
  • JordanTraceForm.traceForm_self_eq_zero_iff
The frame Peirce decomposition PALOMAR-2026-08-29-000008 ehrlich-b/euclidean-jordan a83407e4dbf7
  • JordanFramePeirce.frameBlock_isInternal
  • JordanFramePeirce.finrank_frameBlock_diag
Hurwitz's theorem: dimension PALOMAR-2026-08-29-000015 ehrlich-b/composition-algebras e37e22b0571a
  • HurwitzDimension.finrank_eq_one_or_two_or_four_or_eight
Hurwitz's theorem: classification PALOMAR-2026-08-29-000018 ehrlich-b/composition-algebras 98d4437ce1bf
  • HurwitzClassification.hurwitz_classification