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Dualities on Generalized Koszul Algebras

Dualities on Generalized Koszul Algebras PDF Author: Edward L. Green
Publisher: American Mathematical Soc.
ISBN: 0821829343
Category : Mathematics
Languages : en
Pages : 90

Book Description
Koszul rings are graded rings which have played an important role in algebraic topology, noncommutative algebraic geometry and in the theory of quantum groups. One aspect of the theory is to compare the module theory for a Koszul ring and its Koszul dual. There are dualities between subcategories of graded modules; the Koszul modules.

Dualities on Generalized Koszul Algebras

Dualities on Generalized Koszul Algebras PDF Author: Edward L. Green
Publisher: American Mathematical Soc.
ISBN: 0821829343
Category : Mathematics
Languages : en
Pages : 90

Book Description
Koszul rings are graded rings which have played an important role in algebraic topology, noncommutative algebraic geometry and in the theory of quantum groups. One aspect of the theory is to compare the module theory for a Koszul ring and its Koszul dual. There are dualities between subcategories of graded modules; the Koszul modules.

New Spaces in Mathematics: Volume 1

New Spaces in Mathematics: Volume 1 PDF Author: Mathieu Anel
Publisher: Cambridge University Press
ISBN: 1108848214
Category : Mathematics
Languages : en
Pages : 602

Book Description
After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. The chapters in this volume cover a broad range of topics in mathematics, including diffeologies, synthetic differential geometry, microlocal analysis, topos theory, infinity-groupoids, homotopy type theory, category-theoretic methods in geometry, stacks, derived geometry, and noncommutative geometry. It is addressed primarily to mathematicians and mathematical physicists, but also to historians and philosophers of these disciplines.

Trends in the Representation Theory of Finite Dimensional Algebras

Trends in the Representation Theory of Finite Dimensional Algebras PDF Author: Edward L. Green
Publisher: American Mathematical Soc.
ISBN: 0821809288
Category : Mathematics
Languages : en
Pages : 378

Book Description
This refereed collection of research papers and survey articles reflects the interplay of finite-dimensional algebras with other areas (algebraic geometry, homological algebra, and the theory of quantum groups). Current trends are presented from the discussions at the AMS-IMS-SIAM Joint Summer Research Conference at the University of Washington (Seattle). The volume features several excellent expository articles which will introduce inspiration to researchers in related areas, as it includes original papers spanning a broad spectrum of representation theory.

The Connective K-Theory of Finite Groups

The Connective K-Theory of Finite Groups PDF Author: Robert Ray Bruner
Publisher: American Mathematical Soc.
ISBN: 0821833669
Category : Mathematics
Languages : en
Pages : 144

Book Description
Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group

Interpolation of Weighted Banach Lattices/A Characterization of Relatively Decomposable Banach Lattices

Interpolation of Weighted Banach Lattices/A Characterization of Relatively Decomposable Banach Lattices PDF Author: Michael Cwikel
Publisher: American Mathematical Soc.
ISBN: 0821833820
Category : Mathematics
Languages : en
Pages : 142

Book Description
Includes a paper that provides necessary and sufficient conditions on a couple of Banach lattices of measurable functions $(X_{0}, X_{1})$ which ensure that, for all weight functions $w_{0}$ and $w_{1}$, the couple of weighted lattices $(X_{0, w_{0}}, X_{1, w_{1}})$ is a Calderon-Mityagin cou

Extending Intersection Homology Type Invariants to Non-Witt Spaces

Extending Intersection Homology Type Invariants to Non-Witt Spaces PDF Author: Markus Banagl
Publisher: American Mathematical Soc.
ISBN: 0821829882
Category : Mathematics
Languages : en
Pages : 101

Book Description
Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. We extend this approach to constructing invariants to spaces more general than Witt spaces.

Radially Symmetric Patterns of Reaction-Diffusion Systems

Radially Symmetric Patterns of Reaction-Diffusion Systems PDF Author: Arnd Scheel
Publisher: American Mathematical Soc.
ISBN: 0821833731
Category : Mathematics
Languages : en
Pages : 102

Book Description
Includes a paper that studies bifurcations of stationary and time-periodic solutions to reaction-diffusion systems. This title develops a center-manifold and normal form theory for radial dynamics which allows for a complete description of radially symmetric patterns.

Invariants of Boundary Link Cobordism

Invariants of Boundary Link Cobordism PDF Author: Desmond Sheiham
Publisher: American Mathematical Soc.
ISBN: 0821833405
Category : Mathematics
Languages : en
Pages : 128

Book Description
An $n$-dimensional $\mu$-component boundary link is a codimension $2$ embedding of spheres $L=\sqcup_{\mu}S DEGREESn \subset S DEGREES{n+2}$ such that there exist $\mu$ disjoint oriented embedded $(n+1)$-manifolds which span the components of $L$. This title proceeds to compute the isomorphism class of $C_{

$\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type

$\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type PDF Author: Robert Denk
Publisher: American Mathematical Soc.
ISBN: 0821833782
Category : Mathematics
Languages : en
Pages : 130

Book Description
The property of maximal $L_p$-regularity for parabolic evolution equations is investigated via the concept of $\mathcal R$-sectorial operators and operator-valued Fourier multipliers. As application, we consider the $L_q$-realization of an elliptic boundary value problem of order $2m$ with operator-valued coefficients subject to general boundary conditions. We show that there is maximal $L_p$-$L_q$-regularity for the solution of the associated Cauchy problem provided the top order coefficients are bounded and uniformly continuous.

Segre's Reflexivity and an Inductive Characterization of Hyperquadrics

Segre's Reflexivity and an Inductive Characterization of Hyperquadrics PDF Author: Yasuyuki Kachi
Publisher: American Mathematical Soc.
ISBN: 0821832255
Category : Mathematics
Languages : en
Pages : 133

Book Description
Introduction The universal pseudo-quotient for a family of subvarieties Normal bundles of quadrics in $X$ Morphisms from quadrics to Grassmannians Pointwise uniform vector bundles on non-singular quadrics Theory of extensions of families over Hilbert schemes Existence of algebraic quotient--proof of Theorem 0.3 Appendix. Deformations of vector bundles on infinitesimally rigid projective varieties with null global $i$-forms References