Quiver Grassmannians of Type D˜n, Part 2: Schubert Decompositions and F-polynomials
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10468-021-10097-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7455 |
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oai:localhost:PNK-74552023-04-03T09:20:00Z Quiver Grassmannians of Type D˜n, Part 2: Schubert Decompositions and F-polynomials Oliver, Lorscheid Thorsten, Weist type D~n has a decomposition non-empty cells CC BY Extending the main result of Lorscheid and Weist (2015), in the first part of this paper we show that every quiver Grassmannian of an indecomposable representation of a quiver of type D~n has a decomposition into affine spaces. In the case of real root representations of small defect, the non-empty cells are in one-to-one correspondence to certain, so called non-contradictory, subsets of the vertex set of a fixed tree-shaped coefficient quiver. In the second part, we use this characterization to determine the generating functions of the Euler characteristics of the quiver Grassmannians (resp. F-polynomials). 2023-04-03T09:20:00Z 2023-04-03T09:20:00Z 2021 Book https://link.springer.com/article/10.1007/s10468-021-10097-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7455 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
type D~n has a decomposition non-empty cells |
| spellingShingle |
type D~n has a decomposition non-empty cells Oliver, Lorscheid Thorsten, Weist Quiver Grassmannians of Type D˜n, Part 2: Schubert Decompositions and F-polynomials |
| description |
CC BY |
| format |
Book |
| author |
Oliver, Lorscheid Thorsten, Weist |
| author_facet |
Oliver, Lorscheid Thorsten, Weist |
| author_sort |
Oliver, Lorscheid |
| title |
Quiver Grassmannians of Type D˜n, Part 2: Schubert Decompositions and F-polynomials |
| title_short |
Quiver Grassmannians of Type D˜n, Part 2: Schubert Decompositions and F-polynomials |
| title_full |
Quiver Grassmannians of Type D˜n, Part 2: Schubert Decompositions and F-polynomials |
| title_fullStr |
Quiver Grassmannians of Type D˜n, Part 2: Schubert Decompositions and F-polynomials |
| title_full_unstemmed |
Quiver Grassmannians of Type D˜n, Part 2: Schubert Decompositions and F-polynomials |
| title_sort |
quiver grassmannians of type d˜n, part 2: schubert decompositions and f-polynomials |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10468-021-10097-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7455 |
| _version_ |
1762184305394581504 |
| score |
8.887836 |