OAI/RepresentationTheory/FoulkesHowe/PolynomialShift.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Problem346.PolynomialShift.derivation line 18

    Source documentation

    Transfer one unit of polynomial degree from src to dst. Other blocks are spectator variables.

    def derivation (src dst : B) :
        Derivation K (MvPolynomial (B × I) K) (MvPolynomial (B × I) K) := by
    …
  2. theorem OAI.Problem346.PolynomialShift.derivation_X line 25
  3. def OAI.Problem346.PolynomialShift.shift line 32

    Source documentation

    The directional shift as a linear endomorphism.

    def shift (src dst : B) : Module.End K (MvPolynomial (B × I) K) :=
    …
  4. theorem OAI.Problem346.PolynomialShift.shift_apply line 36
  5. def OAI.Problem346.PolynomialShift.euler line 40

    Source documentation

    Euler's operator for one block.

    def euler (block : B) : Module.End K (MvPolynomial (B × I) K) :=
    …
  6. theorem OAI.Problem346.PolynomialShift.commutator line 43
  7. theorem OAI.Problem346.PolynomialShift.commutator_apply line 52
  8. theorem OAI.Problem346.PolynomialShift.weight_commutator line 60