Arrangements of HyperplanesSpringer-Verlag, 1992 - 325页 |
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A₁ affine arrangement algebra A(A arrangement and let arrangements of hyperplanes assume b₁ basic derivations basic invariants basis for D(A braid arrangement broken circuit central arrangement chain complex choose cohomology complement complex reflection groups complexification compute Corollary Coxeter group defining polynomial Definition deformation retraction denote dependent exact sequence Example exterior algebra fiber finite follows from Lemma follows from Proposition follows from Theorem formula free arrangement free with exp G-orbit graded K-module graph H₁ H₂ homogeneous homotopy type hyperplane arrangement hyperplanes inductively free integers irreducible isomorphism K-algebra ker(x l-arrangement lattice Lemma Let G linear linearly independent m₁ Math matrix maximal element Möbius function modular elements module Note Orbits Poincaré polynomial poset Proof prove real arrangement Recall reflection arrangement restriction result Section Shephard groups simplicial subspace supersolvable Suppose surjective topological unitary reflection group vertex w₁ write x-independent X₁