Alphabeta MathHow statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
Skein and physical knot interfaces require separate DAHA maps
Remark
This page proves the type-A1 DAHA presentation and its polynomial representation, but it proves no homomorphism from a specified skein algebra into DAHA, no knot invariant parameter map, and no physical knot-model operator theorem. A future interface claim must name the source algebra, coefficient and parameter map, generator images, representation space or completion, and verify every defining relation. A physical application also needs its state space, operators, boundary conditions, and model hypotheses. The type-A affine Bernstein PBW theorem and this polynomial representation do not supply those data.
Depends on
Used by
Nothing in the library uses this result yet.
Dependency tree · two levels
5 results within two dependency steps of this one, each drawn at its shortest distance from it. An arrow runs from a result to what uses it, so the chart reads left to right and ends at this result, which carries a heavier outline. Every node is a link to that result. Click elsewhere on the chart to enlarge it.
Sources
- Pavel Etingof and Xiaoguang Ma, Lecture Notes on Cherednik Algebras (standard reference, not scraped)