Namespace IharaTower 17 theorems
— 12 · CornerData 1 · RungAssembly 3 · RungDatum 1
directly in IharaTower 12
- Two-leg degeneracy descent between levels N and Nq
IharaTower.exists_degeneracyDescent_iDegL_jDegL_two5 below · cited by 2 · depth 12 - Residual injectivity of combined raising at diamond-invariant corner
IharaTower.exists_eq_smul_of_iComb_eq_smul_of_isEis_kernel_pair_of_diamond_invariant1 below · cited by 1 · depth 12 - A rung datum from the two q-degeneracy legs at level Nq
IharaTower.exists_rungDatum_two7 below · cited by 1 · depth 12 - Ihara clause and Ihara datum at a corner rung
IharaTower.iharaClauseAt_and_isIharaDataAt_cornerRung2 below · cited by 2 · depth 12 - Ihara clause for a one-leg corner rung
IharaTower.iharaClauseAt_cornerRung_one3 below · cited by 1 · depth 12 - Restricting a perfect self-adjoint pairing to an idempotent corner
IharaTower.exists_levelPairing_cornerSubmodule_of_le0 below · cited by 2 · depth 13 - Perfect self-adjoint pairing restricts to a level pairing on a corner
IharaTower.exists_levelPairing_cornerSubmodule_of_stable_of_selfAdjoint4 below · cited by 2 · depth 13 - Stabilisation of a Hecke corner intertwines α̃ with U_q
IharaTower.iDegL_one_unitRoot_sub_iDegL_intertwines_heckeT0 below · cited by 1 · depth 13 - Trace-side U_q relations on Hecke corners by adjointness
IharaTower.jDegL_heckeT_eq_of_adjoint_corner0 below · cited by 1 · depth 13 - Degeneracy traces intertwine U_q with the unit root
IharaTower.jDegL_heckeT_eq_unitRoot_smul_of_ordinary_refinement1 below · cited by 2 · depth 13 - Res-equivariance of the degeneracy traces on the ordinary corner
IharaTower.jDegL_smul_eq_res_smul_jDegL_of_generators_of_ordinary_refinement3 below · cited by 1 · depth 13 - Saturation and rank force a residually injective map onto eigen-submodules
IharaTower.map_torsionBySet_eq_of_forall_eq_smul_of_finrank_le0 below · cited by 2 · depth 15
IharaTower.CornerData 1
- Stable orthogonal complement of a refinement corner
IharaTower.CornerData.exists_orthogonal_stable_complement_of_corner_le_of_selfAdjoint1 below · cited by 1 · depth 13
IharaTower.RungAssembly 3
- Rung Δ-value from the unit-root quadratic relation
IharaTower.RungAssembly.map_delta_of_sq_sub0 below · cited by 1 · depth 12 - Rung element of a two-leg datum as a quadratic form
IharaTower.RungAssembly.deltaComb_two0 below · cited by 1 · depth 13 - Ihara clause for an assembled rung datum
IharaTower.RungAssembly.iharaClauseAt_rungDatumOfLegs0 below · cited by 1 · depth 13
IharaTower.RungDatum 1
- Restricting a rung datum along an isometric embedding
IharaTower.RungDatum.exists_restrict0 below · cited by 1 · depth 12