Author: R.M. Fossum
Publisher: Springer
ISBN: 3540374876
Category : Mathematics
Languages : en
Pages : 133
Book Description
Trivial Extensions of Abelian Categories
Author: R.M. Fossum
Publisher: Springer
ISBN: 3540374876
Category : Mathematics
Languages : en
Pages : 133
Book Description
Publisher: Springer
ISBN: 3540374876
Category : Mathematics
Languages : en
Pages : 133
Book Description
Indecomposable Representations of Graphs and Algebras
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.
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
Author: Kenneth C. Millett
Publisher: Springer
ISBN: 3540357580
Category : Mathematics
Languages : en
Pages : 254
Book Description
Publisher: Springer
ISBN: 3540357580
Category : Mathematics
Languages : en
Pages : 254
Book Description
Probability Theory on Vector Spaces
Author: A. Weron
Publisher: Springer
ISBN: 3540358145
Category : Mathematics
Languages : en
Pages : 274
Book Description
Publisher: Springer
ISBN: 3540358145
Category : Mathematics
Languages : en
Pages : 274
Book Description
Vector Space Measures and Applications I
Author: R.M. Aron
Publisher: Springer
ISBN: 3540359060
Category : Mathematics
Languages : en
Pages : 463
Book Description
Publisher: Springer
ISBN: 3540359060
Category : Mathematics
Languages : en
Pages : 463
Book Description
Vector Space Measures and Applications II
Author: R.M. Aron
Publisher: Springer
ISBN: 3540359036
Category : Mathematics
Languages : en
Pages : 230
Book Description
Publisher: Springer
ISBN: 3540359036
Category : Mathematics
Languages : en
Pages : 230
Book Description
Séminaire d'Algèbre Paul Dubreil
Author: M.-P. Malliavin
Publisher: Springer
ISBN: 3540359133
Category : Mathematics
Languages : en
Pages : 375
Book Description
Publisher: Springer
ISBN: 3540359133
Category : Mathematics
Languages : en
Pages : 375
Book Description
Nonlinear Partial Differential Equations and Applications
Author: J.M. Chadam
Publisher: Springer
ISBN: 3540358684
Category : Mathematics
Languages : en
Pages : 213
Book Description
Publisher: Springer
ISBN: 3540358684
Category : Mathematics
Languages : en
Pages : 213
Book Description
Galois Theory, Hopf Algebras, and Semiabelian Categories
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.
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
Author: George Janelidze, Bodo Pareigis, and Walter Tholen
Publisher: American Mathematical Soc.
ISBN: 9780821871478
Category :
Languages : en
Pages : 588
Book Description
Publisher: American Mathematical Soc.
ISBN: 9780821871478
Category :
Languages : en
Pages : 588
Book Description