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

Get Book Here

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

Get Book Here

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.

Algebras and Modules II

Algebras and Modules II PDF Author: Idun Reiten
Publisher: American Mathematical Soc.
ISBN: 9780821810767
Category : Mathematics
Languages : en
Pages : 596

Get Book Here

Book Description
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

Affine Flows on 3-Manifolds

Affine Flows on 3-Manifolds PDF Author: Shigenori Matsumoto
Publisher: American Mathematical Soc.
ISBN: 0821832573
Category : Mathematics
Languages : en
Pages : 106

Get Book Here

Book Description
Considers nonsingular flows on closed 3-manifolds which are transversely modeled on the real affine geometry of the plane. This book obtains classification results for three types of flows.

The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups

The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups PDF Author: Martin W. Liebeck
Publisher: American Mathematical Soc.
ISBN: 0821834827
Category : Mathematics
Languages : en
Pages : 242

Get Book Here

Book Description
Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.

Banach Embedding Properties of Non-Commutative $L^p$-Spaces

Banach Embedding Properties of Non-Commutative $L^p$-Spaces PDF Author: U. Haagerup
Publisher: American Mathematical Soc.
ISBN: 0821832719
Category : Mathematics
Languages : en
Pages : 82

Get Book Here

Book Description
Let $\mathcal N$ and $\mathcal M$ be von Neumann algebras. It is proved that $L DEGREESp(\mathcal N)$ does not linearly topologically embed in $L DEGREESp(\mathcal M)$ for $\mathcal N$ infinite, $\mathcal M$ finit

On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems

On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems PDF Author: Pierre Lochak
Publisher: American Mathematical Soc.
ISBN: 0821832689
Category : Mathematics
Languages : en
Pages : 162

Get Book Here

Book Description
Presents the problem of the splitting of invariant manifolds in multidimensional Hamiltonian systems, stressing the canonical features of the problem. This book offers introduction of a canonically invariant scheme for the computation of the splitting matrix.

Equivariant, Almost-Arborescent Representations of Open Simply-Connected 3-Manifolds; A Finiteness Result

Equivariant, Almost-Arborescent Representations of Open Simply-Connected 3-Manifolds; A Finiteness Result PDF Author: Valentin Poenaru
Publisher: American Mathematical Soc.
ISBN: 0821834606
Category : Mathematics
Languages : en
Pages : 104

Get Book Here

Book Description
Shows that at the cost of replacing $V DEGREES3$ by $V_h DEGREES3 = \{V DEGREES3$ with very many holes $\}$, we can always find representations $X DEGREES2 \stackrel {f} {\rightarrow} V DEGREES3$ with $X DEGREES2$ locally finite and almost-arborescent, with $\Psi (f)=\Phi (f)$, and with the ope

Advances in Lie Superalgebras

Advances in Lie Superalgebras PDF Author: Maria Gorelik
Publisher: Springer Science & Business
ISBN: 3319029525
Category : Mathematics
Languages : en
Pages : 281

Get Book Here

Book Description
The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and supergeometry). The book contains contributions of many leading esperts in the field and provides a complete account of the newest trends in research on Lie Superalgebras.

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

Get Book Here

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

Get Book Here

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.