Splitting Theorems For Certain Equivariant Spectra
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Splitting Theorems For Certain Equivariant Spectra
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Author : L. Gaunce Lewis
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Splitting Theorems For Certain Equivariant Spectra written by L. Gaunce Lewis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This book is intended for graduate students and research mathematicians interested in algebraic topology.
Splitting Theorems For Certain Equivariant Spectra
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Author : L. Gaunce Lewis (jr.)
language : en
Publisher:
Release Date : 2000
Splitting Theorems For Certain Equivariant Spectra written by L. Gaunce Lewis (jr.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Cocycles Of Ccr Flows
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Author : B. V. Rajarama Bhat
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Cocycles Of Ccr Flows written by B. V. Rajarama Bhat and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
We study the partially ordered set of quantum dynamical semigroups dominated by a given semigroup on the algebra of all bounded operators on a Hilbert space. For semigroups of *-endomorphisms this set can be described through cocycles. This helps us to prove a factorization theorem for dilations and to show that minimal dilations of quantum dynamical semigroups with bounded generators can be got through Hudson-Parthasarathy cocycles.
Black Box Classical Groups
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Author : William M. Kantor
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Black Box Classical Groups written by William M. Kantor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
If a black box simple group is known to be isomorphic to a classical group over a field of known characteristic, a Las Vegas algorithm is used to produce an explicit isomorphism. The proof relies on the geometry of the classical groups rather than on difficult group-theoretic background. This algorithm has applications to matrix group questions and to nearly linear time algorithms for permutation groups. In particular, we upgrade all known nearly linear time Monte Carlo permutation group algorithms to nearly linear Las Vegas algorithms when the input group has no composition factor isomorphic to an exceptional group of Lie type or a 3-dimensional unitary group.
Homotopy Theory Of Diagrams
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Author : Wojciech Chachólski
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Homotopy Theory Of Diagrams written by Wojciech Chachólski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
In this paper the authors develop homotopy theoretical methods for studying diagrams. In particular they explain how to construct homotopy colimits and limits in an arbitrary model category. The key concept introduced is that of a model approximation. A model approximation of a category $\mathcal{C}$ with a given class of weak equivalences is a model category $\mathcal{M}$ together with a pair of adjoint functors $\mathcal{M} \rightleftarrows \mathcal{C}$ which satisfy certain properties. The key result says that if $\mathcal{C}$ admits a model approximation then so does the functor category $Fun(I, \mathcal{C})$.
Tilings Of The Plane Hyperbolic Groups And Small Cancellation Conditions
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Author : Milé Krajčevski
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Tilings Of The Plane Hyperbolic Groups And Small Cancellation Conditions written by Milé Krajčevski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book is intended for graduate students and research mathematicians interested in group theory and generalizations.
Quantum Linear Groups And Representations Of Gl N Mathbb F Q
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Author : Jonathan Brundan
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Quantum Linear Groups And Representations Of Gl N Mathbb F Q written by Jonathan Brundan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
We give a self-contained account of the results originating in the work of James and the second author in the 1980s relating the representation theory of GL[n(F[q) over fields of characteristic coprime to q to the representation theory of "quantum GL[n" at roots of unity. The new treatment allows us to extend the theory in several directions. First, we prove a precise functorial connection between the operations of tensor product in quantum GL[n and Harish-Chandra induction in finite GL[n. This allows us to obtain a version of the recent Morita theorem of Cline, Parshall and Scott valid in addition for p-singular classes. From that we obtain simplified treatments of various basic known facts, such as the computation of decomposition numbers and blocks of GL[n(F[q) from knowledge of the same for the quantum group, and the non-defining analogue of Steinberg's tensor product theorem. We also easily obtain a new double centralizer property between GL[n(F[[q) and quantum GL[n, generalizing a result of Takeuchi. Finally, we apply the theory to study the affine general linear group, following ideas of Zelevinsky in characteristic zero. We prove results that can be regarded as the modular analogues of Zelevinsky's and Thoma's branching rules. Using these, we obtain a new dimension formula for the irreducible cross-characteristic representations of GL[n(F[q), expressing their dimensions in terms of the characters of irreducible modules over the quantum group.
The Second Chinburg Conjecture For Quaternion Fields
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Author : Jeff Hooper
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
The Second Chinburg Conjecture For Quaternion Fields written by Jeff Hooper and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The Second Chinburg Conjecture relates the Galois module structure of rings of integers in number fields to the values of the Artin root number on the symplectic representations of the Galois group. This book establishes the Second Chinburg Conjecture for various quaternion fields.
The Submanifold Geometries Associated To Grassmannian Systems
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Author : Martina Brück
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
The Submanifold Geometries Associated To Grassmannian Systems written by Martina Brück and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This work is intended for graduate students and research mathematicians interested in differential geometry and partial differential equations.
Proper Maps Of Toposes
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Author : Ieke Moerdijk
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Proper Maps Of Toposes written by Ieke Moerdijk and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
We develop the theory of compactness of maps between toposes, together with associated notions of separatedness. This theory is built around two versions of "propriety" for topos maps, introduced here in a parallel fashion. The first, giving what we simply call "proper" maps, is a relatively weak condition due to Johnstone. The second kind of proper maps, here called "tidy", satisfy a stronger condition due to Tierney and Lindgren. Various forms of the Beck-Chevalley condition for (lax) fibered product squares of toposes play a central role in the development of the theory. Applications include a version of the Reeb stability theorem for toposes, a characterization of hyperconnected Hausdorff toposes as classifying toposes of compact groups, and of strongly Hausdorff coherent toposes as classifiying toposes of profinite groupoids. Our results also enable us to develop further particular aspects of the factorization theory of geometric morphisms studied by Johnstone. Our final application is a (so-called lax) descent theorem for tidy maps between toposes. This theorem implies the lax descent theorem for coherent toposes, conjectured by Makkai and proved earlier by Zawadowski.