Points On Quantum Projectivizations
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Points On Quantum Projectivizations
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date :
Points On Quantum Projectivizations written by 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 with categories.
Points On Quantum Projectivizations
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Author : Adam Nyman
language : en
Publisher: American Mathematical Soc.
Release Date : 2003-12-17
Points On Quantum Projectivizations written by Adam Nyman 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 2003-12-17 with Mathematics categories.
The use of geometric invariants has recently played an important role in the solution of classification problems in non-commutative ring theory. We construct geometric invariants of non-commutative projectivizataions, a significant class of examples in non-commutative algebraic geometry. More precisely, if $S$ is an affine, noetherian scheme, $X$ is a separated, noetherian $S$-scheme, $\mathcal{E}$ is a coherent ${\mathcal{O}}_{X}$-bimodule and $\mathcal{I} \subset T(\mathcal{E})$ is a graded ideal then we develop a compatibility theory on adjoint squares in order to construct the functor $\Gamma_{n}$ of flat families of truncated $T(\mathcal{E})/\mathcal{I}$-point modules of length $n+1$. For $n \geq 1$ we represent $\Gamma_{n}$ as a closed subscheme of ${\mathbb{P}}_{X^{2}}({\mathcal{E}}^{\otimes n})$. The representing scheme is defined in terms of both ${\mathcal{I}}_{n}$ and the bimodule Segre embedding, which we construct. Truncating a truncated family of point modules of length $i+1$ by taking its first $i$ components defines a morphism $\Gamma_{i} \rightarrow \Gamma_{i-1}$ which makes the set $\{\Gamma_{n}\}$ an inverse system. In order for the point modules of $T(\mathcal{E})/\mathcal{I}$ to be parameterizable by a scheme, this system must be eventually constant. In [20], we give sufficient conditions for this system to be constant and show that these conditions are satisfied when ${\mathsf{Proj}} T(\mathcal{E})/\mathcal{I}$ is a quantum ruled surface. In this case, we show the point modules over $T(\mathcal{E})/\mathcal{I}$ are parameterized by the closed points of ${\mathbb{P}}_{X^{2}}(\mathcal{E})$.
Gromov Hausdorff Distance For Quantum Metric Spaces Matrix Algebras Converge To The Sphere For Quantum Gromov Hausdorff Distance
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Author : Marc Aristide Rieffel
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Gromov Hausdorff Distance For Quantum Metric Spaces Matrix Algebras Converge To The Sphere For Quantum Gromov Hausdorff Distance written by Marc Aristide Rieffel 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 2004 with Mathematics categories.
By a quantum metric space we mean a $C DEGREES*$-algebra (or more generally an order-unit space) equipped with a generalization of the usual Lipschitz seminorm on functions which one associates to an ordinary metric. We develop for compact quantum metric spaces a version of Gromov-Hausdorff di
Representation Type Of Commutative Noetherian Rings Iii Global Wildness And Tameness
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Author : Lee Klingler
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Representation Type Of Commutative Noetherian Rings Iii Global Wildness And Tameness written by Lee Klingler 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 2005 with Mathematics categories.
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
The Ro G Graded Equivariant Ordinary Homology Of G Cell Complexes With Even Dimensional Cells For G Mathbb Z P
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date :
The Ro G Graded Equivariant Ordinary Homology Of G Cell Complexes With Even Dimensional Cells For G Mathbb Z P written by 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 with categories.
Maximum Principles On Riemannian Manifolds And Applications
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Author : Stefano Pigola
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Maximum Principles On Riemannian Manifolds And Applications written by Stefano Pigola 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 2005 with Mathematics categories.
Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.
Local Zeta Functions Attached To The Minimal Spherical Series For A Class Of Symmetric Spaces
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Author : Nicole Bopp
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Local Zeta Functions Attached To The Minimal Spherical Series For A Class Of Symmetric Spaces written by Nicole Bopp 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 2005 with Mathematics categories.
Intends to prove a functional equation for a local zeta function attached to the minimal spherical series for a class of real reductive symmetric spaces.
The Role Of The Spectrum In The Cyclic Behavior Of Composition Operators
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Author : Eva A. Gallardo-Gutieŕrez
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
The Role Of The Spectrum In The Cyclic Behavior Of Composition Operators written by Eva A. Gallardo-Gutieŕrez 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 2004 with Mathematics categories.
Introduction and preliminaries Linear fractional maps with an interior fixed point Non elliptic automorphisms The parabolic non automorphism Supercyclic linear fractional composition operators Endnotes Bibliography.
An Analogue Of A Reductive Algebraic Monoid Whose Unit Group Is A Kac Moody Group
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Author : Claus Mokler
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
An Analogue Of A Reductive Algebraic Monoid Whose Unit Group Is A Kac Moody Group written by Claus Mokler 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 2005 with Mathematics categories.
By an easy generalization of the Tannaka-Krein reconstruction we associate to the category of admissible representations of the category ${\mathcal O}$ of a Kac-Moody algebra, and its category of admissible duals, a monoid with a coordinate ring. The Kac-Moody group is the Zariski open dense unit group of this monoid. The restriction of the coordinate ring to the Kac-Moody group is the algebra of strongly regular functions introduced by V. Kac and D. Peterson. This monoid has similar structural properties as a reductive algebraic monoid. In particular it is unit regular, its idempotents related to the faces of the Tits cone. It has Bruhat and Birkhoff decompositions. The Kac-Moody algebra is isomorphic to the Lie algebra of this monoid.
On Dynamical Poisson Groupoids I
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Author : Luen-Chau Li
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
On Dynamical Poisson Groupoids I written by Luen-Chau Li 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 2005 with Mathematics categories.
We address the question of duality for the dynamical Poisson groupoids of Etingof and Varchenko over a contractible base. We also give an explicit description for the coboundary case associated with the solutions of (CDYBE) on simple Lie algebras as classified by the same authors.