Moment graphs and KL-polynomials
Motivated by a result of Fiebig (2007), we categorify some properties of Kazhdan-Lusztig polynomials via sheaves on Bruhat moment graphs. In order to do this, we develop new techniques and apply them to the combinatorial data encoded in these moment graphs.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Discrete Mathematics & Theoretical Computer Science
2012-01-01
|
| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/3057/pdf |
| _version_ | 1797270282758520832 |
|---|---|
| author | Martina Lanini |
| author_facet | Martina Lanini |
| author_sort | Martina Lanini |
| collection | DOAJ |
| description | Motivated by a result of Fiebig (2007), we categorify some properties of Kazhdan-Lusztig polynomials via sheaves on Bruhat moment graphs. In order to do this, we develop new techniques and apply them to the combinatorial data encoded in these moment graphs. |
| first_indexed | 2024-04-25T02:01:48Z |
| format | Article |
| id | doaj.art-6584014800134aa88af030003b4fb3d5 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:01:48Z |
| publishDate | 2012-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-6584014800134aa88af030003b4fb3d52024-03-07T14:51:45ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502012-01-01DMTCS Proceedings vol. AR,...Proceedings10.46298/dmtcs.30573057Moment graphs and KL-polynomialsMartina Lanini0Department Mathematik [Erlangen]Motivated by a result of Fiebig (2007), we categorify some properties of Kazhdan-Lusztig polynomials via sheaves on Bruhat moment graphs. In order to do this, we develop new techniques and apply them to the combinatorial data encoded in these moment graphs.https://dmtcs.episciences.org/3057/pdfbruhat graphsmoment graphskazhdan-lusztig polynomials[info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| spellingShingle | Martina Lanini Moment graphs and KL-polynomials Discrete Mathematics & Theoretical Computer Science bruhat graphs moment graphs kazhdan-lusztig polynomials [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| title | Moment graphs and KL-polynomials |
| title_full | Moment graphs and KL-polynomials |
| title_fullStr | Moment graphs and KL-polynomials |
| title_full_unstemmed | Moment graphs and KL-polynomials |
| title_short | Moment graphs and KL-polynomials |
| title_sort | moment graphs and kl polynomials |
| topic | bruhat graphs moment graphs kazhdan-lusztig polynomials [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| url | https://dmtcs.episciences.org/3057/pdf |
| work_keys_str_mv | AT martinalanini momentgraphsandklpolynomials |