Representations of Algebras.
This volume contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held from August 10-19, 2016, at Syracuse University, Syracuse, NY. Included are three survey articles based on short courses in the areas of commutative algebraic group...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Providence :
American Mathematical Society,
2018.
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Colección: | Contemporary Mathematics Ser.
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Temas: |
Associative rings and algebras
> Hopf algebras, quantum groups and related topics
> Connections with combinatorics.-msc.
Associative rings and algebras
> Representation theory of rings and algebras
> Representations of Artinian rings.-msc.
Functions of a complex variable
> Riemann surfaces
> Compact Riemann surfaces and uniformization.-msc.
Group theory and generalizations
> Linear algebraic groups and related topics
> Cohomology theory.-msc.
Group theory and generalizations
> Linear algebraic groups and related topics
> Structure theory.-msc.
Associative rings and algebras
> Hopf algebras, quantum groups and related topics
> Connections with combinatorics.
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Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title page; Contents; Preface; Commutative algebraic groups up to isogeny. II; 1. Introduction; 2. A construction of hereditary categories; 2.1. Two preliminary results; 2.2. Torsion pairs; 2.3. The category of extensions; 2.4. Universal extensions; 2.5. Relation to module categories; 3. Applications to commutative algebraic groups; 3.1. Some isogeny categories; 3.2. More isogeny categories; 3.3. Functors of points; 3.4. Finiteness conditions for Hom and Ext groups; 3.5. Finiteness representation type: an example; References; Noncommutative resolutions of discriminants; 1. Introduction.
- 2. Reflection groups3. (Noncommutative) resolutions of singularities; 4. The classical McKay correspondence; 5. NCRs of discriminants; 6. Further questions; 7. Acknowledgements; References; Polyhedral models for tensor product multiplicities; Introduction; 1. Graded Upper Cluster Algebras; 2. Auslander-Reiten theory of Presentations; 3. Cluster Character from Quiver with Potential; 4. iARt QPs; 5. Remarks on Non-simply Laced Cases; Acknowledgment; References; Special multiserial algebras, Brauer configuration algebras and more: A survey; 1. Introduction.
- 2. Multiserial and special multiserial algebras3. Algebras defined by cycles; 4. Brauer configurations and Brauer configuration algebras; 5. Connection results; 6. Examples; 7. Almost gentle algebras; 8. Representations of multiserial algebras; 9. Radical cubed zero; References; Nakayama-type phenomena in higher Auslander-Reiten theory; 1. Introduction; 2. Preliminaries; 3. Higher Nakayama algebras; 4. Obstructions to an alternative definition of higher Nakayama algebras; 5. Cluster categories of type _{ } and _{∞}; References
- K-polynomials of type A quiver orbit closures and lacing diagrams1. Background and context; 2. Lacing diagrams; 3. K-polynomials of quiver orbit closures; 4. The component formula; 5. Open problems; References; Krull-Gabriel dimension and the Ziegler spectrum; 1. Purity in categories of modules; 2. The Krull-Gabriel dimension of ℛ; 3. Examples; References; On the K-theory of weighted projective curves; Introduction; 1. Coherent sheaves on a smooth projective curve; 1.1. The Euler form; 1.2. Shift action associated to a point; 1.3. The divisor sequence
- 2. Coherent sheaves on a weighted projective curve2.1. The category of -cycles; 2.2. The reduced (or numerical) Grothendieck group; 2.3. Attaching tubes; 2.4. Orbifold Euler characteristic and weighted Riemann-Roch; 2.5. Impact of the Euler characteristic; 2.6. Shift action, weighted divisor group and weighted Picard group; 2.7. The localization sequence; Appendix A. Multiplicative structure; Acknowledgements; References; Finite-dimensional algebras arising as blocks of finite group algebras; Introduction; 1. Properties of blocks of finite group algebras.