Author : Edward L. Green
Publisher : American Mathematical Soc.
Page : 90 pages
File Size : 24,54 MB
Release : 2002
Category : Mathematics
ISBN : 0821829343
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.
Author : Idun Reiten
Publisher : American Mathematical Soc.
Page : 596 pages
File Size : 35,26 MB
Release : 1998
Category : Mathematics
ISBN : 9780821810767
The 43 research papers demonstrate the application of recent developments in the representation theory of artin algebras and related topics. Among the algebras considered are tame, bi- serial, cellular, factorial hereditary, Hopf, Koszul, non- polynomial growth, pre-projective, Termperley-Lieb, tilted, and quasi-tilted. Other topics include tilting and co-tilting modules and generalizations as *-modules, exceptional sequences of modules and vector bundles, homological conjectives, and vector space categories. The treatment assumes knowledge of non- commutative algebra, including rings, modules, and homological algebra at a graduate or professional level. No index. Member prices are $79 for institutions and $59 for individuals, which also apply to members of the Canadian Mathematical Society. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Mathieu Anel
Publisher : Cambridge University Press
Page : 602 pages
File Size : 35,9 MB
Release : 2021-04-01
Category : Mathematics
ISBN : 1108848214
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.
Author : Edward L. Green
Publisher : American Mathematical Soc.
Page : 378 pages
File Size : 11,94 MB
Release : 1998
Category : Mathematics
ISBN : 0821809288
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.
Author : Robert Ray Bruner
Publisher : American Mathematical Soc.
Page : 144 pages
File Size : 13,53 MB
Release : 2003
Category : Mathematics
ISBN : 0821833669
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
Author : Michael Cwikel
Publisher : American Mathematical Soc.
Page : 142 pages
File Size : 30,55 MB
Release : 2003
Category : Mathematics
ISBN : 0821833820
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
Author : Markus Banagl
Publisher : American Mathematical Soc.
Page : 101 pages
File Size : 13,56 MB
Release : 2002
Category : Mathematics
ISBN : 0821829882
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.
Author : Arnd Scheel
Publisher : American Mathematical Soc.
Page : 102 pages
File Size : 25,13 MB
Release : 2003
Category : Mathematics
ISBN : 0821833731
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.
Author : Desmond Sheiham
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 34,10 MB
Release : 2003
Category : Mathematics
ISBN : 0821833405
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_{
Author : Robert Denk
Publisher : American Mathematical Soc.
Page : 130 pages
File Size : 19,97 MB
Release : 2003
Category : Mathematics
ISBN : 0821833782
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.
