Arrangements of HyperplanesSpringer-Verlag, 1992 - 325页 |
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共有 54 个结果,这是第 1-3 个
第216页
... choose a G - invariant positive definite Hermitian form in V. Thus the elements of G are unitary transformations in V. We may also choose a G - invariant positive definite orthogonal or Hermitian form in the dual space V * . Definition ...
... choose a G - invariant positive definite Hermitian form in V. Thus the elements of G are unitary transformations in V. We may also choose a G - invariant positive definite orthogonal or Hermitian form in the dual space V * . Definition ...
第280页
... choose 0 ; as in ( * ) for 1 ≤ i ≤l - 1 together with O2 = Σ ( X1 · · · Xj − 1Xj + 1 · · · Xe ) ̃ ̄1 Dj . j = 1 Direct calculation shows that 0 ; € Ders . It follows from Saito's criterion 4.19 that the 0 ; form a basis for Ders ...
... choose 0 ; as in ( * ) for 1 ≤ i ≤l - 1 together with O2 = Σ ( X1 · · · Xj − 1Xj + 1 · · · Xe ) ̃ ̄1 Dj . j = 1 Direct calculation shows that 0 ; € Ders . It follows from Saito's criterion 4.19 that the 0 ; form a basis for Ders ...
第281页
... choose an orthonormal basis in V , then H ( f ) 21. It follows from Theorem 6.122 that we may choose C = I. Thus ( 1 ) gives in this special case that the coefficient matrix is a constant multiple of the Jacobian : M ( 8 ) = ( 1/2 ) J ...
... choose an orthonormal basis in V , then H ( f ) 21. It follows from Theorem 6.122 that we may choose C = I. Thus ( 1 ) gives in this special case that the coefficient matrix is a constant multiple of the Jacobian : M ( 8 ) = ( 1/2 ) J ...
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A₁ affine arrangement algebra A(A arrangement and let 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 degree denote dependent exact sequence Example exterior algebra exterior product 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 hyperplanes inductively free integers irreducible isomorphism K-algebra ker(x l-arrangement lattice Lemma Let G linear linearly independent matrix maximal element Möbius function modular elements module N¹(A nonempty Note Orbits Poincaré polynomial poset Proof prove real arrangement Recall reflection arrangement restriction result Saito's criterion 4.19 Section Shephard groups simplicial subset subspace supersolvable supersolvable arrangement Suppose surjective vertex w₁ write x-independent