Download Topologie algebrique by James Dugundji PDF

By James Dugundji

Show description

Read Online or Download Topologie algebrique PDF

Best abstract books

Number Theory in Function Fields

Easy quantity thought is worried with mathematics houses of the hoop of integers. Early within the improvement of quantity concept, it used to be spotted that the hoop of integers has many houses in universal with the hoop of polynomials over a finite box. the 1st a part of this publication illustrates this dating via providing, for instance, analogues of the theorems of Fermat and Euler, Wilsons theorem, quadratic (and greater) reciprocity, the major quantity theorem, and Dirichlets theorem on primes in an mathematics development.

Linear Differential Equations and Group Theory from Riemann to Poincare

This publication is a learn of ways a selected imaginative and prescient of the harmony of arithmetic, known as geometric functionality conception, was once created within the nineteenth century. The valuable concentration is at the convergence of 3 mathematical themes: the hypergeometric and similar linear differential equations, team concept, and non-Euclidean geometry.

Convex Geometric Analysis

Convex our bodies are instantaneously uncomplicated and amazingly wealthy in constitution. whereas the classical effects return many many years, prior to now ten years the fundamental geometry of convex our bodies has passed through a dramatic revitalization, led to by means of the advent of equipment, effects and, most significantly, new viewpoints, from chance idea, harmonic research and the geometry of finite-dimensional normed areas.

Sylow theory, formations and fitting classes in locally finite groups

This booklet is worried with the generalizations of Sylow theorems and the comparable themes of formations and the precise of sessions to in the community finite teams. It additionally includes info of Sunkov's and Belyaev'ss effects on in the community finite teams with min-p for all primes p. this can be the 1st time lots of those issues have seemed in publication shape.

Additional resources for Topologie algebrique

Sample text

We denote by MH (X) the subcategory of M(X) consisting of H-equivariant perverse sheaves and whose morphisms are defined in the same way as we defined morphisms in ShH (X). As we did for sheaves, we can prove that MH (X) is in fact a full subcategory of M(X). 5 works also for perverse sheaves. 11. 8 on H-equivariance is not the appropriate one for the case where K ∈ Dcb (X) is not a perverse sheaf or when H is not connected. For the general definition of H-equivariance see [BL94]. 12. 34, the Verdier dual of an H-equivariant perverse sheaf on X is H-equivariant, hence the restriction of DX to MH (X) is an equivalence of categories MH (X) → MH (X).

Let ˜j : H × X → H × H × X, (g, x) → (1, g, x) so that j = ˜j ◦ i and (α × IdX ) ◦ ˜j = IdH×X . Let H acts on H × X by left multiplication on the first coordinate. 3 we get that ˜j ∗ (α × IdX )∗ (φE ) = ˜j ∗ (IdH × ρ)∗ (φE ) ◦ (p2 × IdX )∗ (φE ) . 3, we get that ˜j ∗ is an equivalence of categories from the full subcategory of Sh(H × H × X) of H-equivariant sheaves on H × H × X (H acting by left multiplication on the first coordinate) onto Sh(H × X). Hence it remains to see that (α × IdX )∗ (φE ) is a morphism between H-equivariant sheaves.

We now state the transitivity property of Deligne-Lusztig induction. Let M ⊂ L be an inclusion of F -stable Levi subgroups of G with respective Lie algebras M and L. Let P and Q be two parabolic subgroups of G, having respectively L and M as Levi subgroups, such that Q ⊂ P . 22. We have RGL⊂P ◦ RL M⊂L∩Q = RM⊂Q . We have the following proposition. 23. If the parabolic subgroup P is F -stable, then the DeligneLusztig induction RGL⊂P coincides with Harish-Chandra induction. 24. Let L be an F -stable Levi subgroup of G and P be a parabolic subgroup of G having L as a Levi subgroup.

Download PDF sample

Rated 5.00 of 5 – based on 40 votes