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Quiver Grassmannians of Type D˜n, Part 2: Schubert Decompositions and F-polynomials

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Main Authors: Oliver, Lorscheid, Thorsten, Weist
Format: Book
Language:English
Published: Springer 2023
Subjects:
type D~n has a decomposition
non-empty cells
Online Access:https://link.springer.com/article/10.1007/s10468-021-10097-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7455
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spelling 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 8.891145

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