OAI/RepresentationTheory/FoulkesHowe/PolynomialShift.lean
8 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.Problem346.PolynomialShift.derivationline 18Source documentation
Transfer one unit of polynomial degree from
srctodst. Other blocks are spectator variables.def derivation (src dst : B) : Derivation K (MvPolynomial (B × I) K) (MvPolynomial (B × I) K) := by … - theorem
OAI.Problem346.PolynomialShift.derivation_Xline 25 - def
OAI.Problem346.PolynomialShift.shiftline 32Source documentation
The directional shift as a linear endomorphism.
def shift (src dst : B) : Module.End K (MvPolynomial (B × I) K) := …
- theorem
OAI.Problem346.PolynomialShift.shift_applyline 36 - def
OAI.Problem346.PolynomialShift.eulerline 40Source documentation
Euler's operator for one block.
def euler (block : B) : Module.End K (MvPolynomial (B × I) K) := …
- theorem
OAI.Problem346.PolynomialShift.commutatorline 43 - theorem
OAI.Problem346.PolynomialShift.commutator_applyline 52 - theorem
OAI.Problem346.PolynomialShift.weight_commutatorline 60