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Trivial Extensions of Abelian Categories

Trivial Extensions of Abelian Categories PDF Author: R.M. Fossum
Publisher: Springer
ISBN: 3540374876
Category : Mathematics
Languages : en
Pages : 133

Book Description


Trivial Extensions of Abelian Categories

Trivial Extensions of Abelian Categories PDF Author: R.M. Fossum
Publisher: Springer
ISBN: 3540374876
Category : Mathematics
Languages : en
Pages : 133

Book Description


Indecomposable Representations of Graphs and Algebras

Indecomposable Representations of Graphs and Algebras PDF Author: Vlastimil Dlab
Publisher: American Mathematical Soc.
ISBN: 0821818732
Category : Mathematics
Languages : en
Pages : 66

Book Description
I.N. Bernstein, I.M. Gelfand and V.A. Ponomarev have recently shown that the bijection, first observed by P. Gabriel, between the indecomposable representations of graphs ("quivers") with a positive definite quadratic form and the positive roots of this form can be proved directly. Appropriate functors produce all indecomposable representations from the simple ones in the same way as the canonical generators of the Weyl group produce all positive roots from the simple ones. This method is extended in two directions. In order to deal with all Dynkin diagrams rather than with those having single edges only, we consider valued graphs ("species"). In addition, we consider valued graphs with positive semi-definite quadratic form, i.e. extended Dynkin diagrams. The main result of the paper describes all indecomposable representations up to the homogeneous ones, of a valued graph with positive semi-definite quadratic form. These indecomposable representations are of two types: those of discrete dimension type, and those of continuous dimension type.

Algebraic and Geometric Topology

Algebraic and Geometric Topology PDF Author: Kenneth C. Millett
Publisher: Springer
ISBN: 3540357580
Category : Mathematics
Languages : en
Pages : 254

Book Description


Probability Theory on Vector Spaces

Probability Theory on Vector Spaces PDF Author: A. Weron
Publisher: Springer
ISBN: 3540358145
Category : Mathematics
Languages : en
Pages : 274

Book Description


Vector Space Measures and Applications I

Vector Space Measures and Applications I PDF Author: R.M. Aron
Publisher: Springer
ISBN: 3540359060
Category : Mathematics
Languages : en
Pages : 463

Book Description


Vector Space Measures and Applications II

Vector Space Measures and Applications II PDF Author: R.M. Aron
Publisher: Springer
ISBN: 3540359036
Category : Mathematics
Languages : en
Pages : 230

Book Description


Séminaire d'Algèbre Paul Dubreil

Séminaire d'Algèbre Paul Dubreil PDF Author: M.-P. Malliavin
Publisher: Springer
ISBN: 3540359133
Category : Mathematics
Languages : en
Pages : 375

Book Description


Nonlinear Partial Differential Equations and Applications

Nonlinear Partial Differential Equations and Applications PDF Author: J.M. Chadam
Publisher: Springer
ISBN: 3540358684
Category : Mathematics
Languages : en
Pages : 213

Book Description


Galois Theory, Hopf Algebras, and Semiabelian Categories

Galois Theory, Hopf Algebras, and Semiabelian Categories PDF Author: George Janelidze
Publisher: American Mathematical Soc.
ISBN: 0821832905
Category : Mathematics
Languages : en
Pages : 582

Book Description
This volume is based on talks given at the Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras, and Semiabelian Categories held at The Fields Institute for Research in Mathematical Sciences (Toronto, ON, Canada). The meeting brought together researchers working in these interrelated areas. This collection of survey and research papers gives an up-to-date account of the many current connections among Galois theories, Hopf algebras, and semiabeliancategories. The book features articles by leading researchers on a wide range of themes, specifically, abstract Galois theory, Hopf algebras, and categorical structures, in particular quantum categories and higher-dimensional structures. Articles are suitable for graduate students and researchers,specifically those interested in Galois theory and Hopf algebras and their categorical unification.

Galois Theory, Hopf Algebras, and Semiabelian Categories

Galois Theory, Hopf Algebras, and Semiabelian Categories PDF Author: George Janelidze, Bodo Pareigis, and Walter Tholen
Publisher: American Mathematical Soc.
ISBN: 9780821871478
Category :
Languages : en
Pages : 588

Book Description