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Quiver Grassmannians of Extended Dynkin Type d Part I
Let Q be a quiver of extended Dynkin type \widetilde{D}_n. In this first of two papers, the authors show that the quiver Grassmannian \mathrm{Gr}_{underline{e}}(M) has a decomposition into affine spaces for every dimension vector underline{e} and every indecomposable representation M of defect -1 an...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2019.
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| Colección: | Memoirs of the American Mathematical Society Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 020 | |a 9781470453992 | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Lorscheid, Oliver. | |
| 245 | 1 | 0 | |a Quiver Grassmannians of Extended Dynkin Type d Part I |
| 260 | |a Providence : |b American Mathematical Society, |c 2019. | ||
| 300 | |a 1 online resource (90 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society Ser. ; |v v. 261 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover -- Title page -- Introduction -- Chapter 1. Background -- 1.1. Coefficient quiver -- 1.2. Schubert decompositions -- 1.3. Representations of Schubert cells -- Chapter 2. Schubert systems -- 2.1. The complete Schubert system -- 2.2. Partial Evaluations -- 2.3. Contradictory -states -- 2.4. Definition of -states -- 2.5. The reduced Schubert system -- 2.6. Computing -states -- 2.7. Solvable -states -- 2.8. Extremal edges -- 2.9. Patchwork solutions -- 2.10. Extremal paths -- Chapter 3. First applications -- 3.1. The Kronecker quiver -- 3.2. Dynkin quivers | |
| 505 | 8 | |a Chapter 4. Schubert decompositions for type ̃ _{ } -- 4.1. Contradictory of the first and of the second kind -- 4.2. Automorphisms of the Dynkin diagram -- 4.3. Bases for some indecomposable representations -- 4.4. The main theorem -- Chapter 5. Proof of Theorem 4.1 -- 5.1. Defect -1 -- Appendix A. Representations for quivers of type ̃ _{ } -- A.1. Reflections and Auslander-Reiten translates -- A.2. Indecomposable and exceptional representations -- A.3. The Auslander-Reiten quiver -- A.4. The tubes -- A.5. Roots -- A.6. The defect -- Appendix B. Bases for representations of type ̃ _{ } | |
| 505 | 8 | |a B.1. Defect -1 -- B.2. Defect -2 -- B.3. Positive defect -- B.4. Exceptional tubes of rank 2 -- B.5. Exceptional tubes of rank -2 -- B.6. Homogeneous tubes -- Bibliography -- Back Cover | |
| 520 | |a Let Q be a quiver of extended Dynkin type \widetilde{D}_n. In this first of two papers, the authors show that the quiver Grassmannian \mathrm{Gr}_{underline{e}}(M) has a decomposition into affine spaces for every dimension vector underline{e} and every indecomposable representation M of defect -1 and defect 0, with the exception of the non-Schurian representations in homogeneous tubes. The authors characterize the affine spaces in terms of the combinatorics of a fixed coefficient quiver for M. The method of proof is to exhibit explicit equations for the Schubert cells of \mathrm{Gr}_{underline. | ||
| 504 | |a Includes bibliographical references (pages 77-78). | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 7 | |a Geometría algebraica |2 embne | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 700 | 1 | |a Weist, Thorsten. | |
| 758 | |i has work: |a Quiver Grassmannians of extended Dynkin type D Part I: Schubert systems and decompositions into affine spaces (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFvxHH4pQYJvC368yTdwvd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Lorscheid, Oliver. |t Quiver Grassmannians of Extended Dynkin Type d Part I: Schubert Systems and Decompositions into Affine Spaces. |d Providence : American Mathematical Society, ©2019 |z 9781470436476 |
| 830 | 0 | |a Memoirs of the American Mathematical Society Ser. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5990837 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5990837 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445294 | ||
| 938 | |a YBP Library Services |b YANK |n 301000551 | ||
| 994 | |a 92 |b IZTAP | ||