The equivariant inverse Kazhdan-Lusztig polynomials of uniform matroids
Motivated by the concepts of the inverse Kazhdan-Lusztig polynomial and the equivariant Kazhdan-Lusztig polynomial, Proudfoot defined the equivariant inverse Kazhdan-Lusztig polynomial for a matroid. In this paper, we show that the equivariant inverse Kazhdan-Lusztig polynomial of a matroid is very...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Gao, Alice L. L Xie, Matthew H. Y Yang, Arthur L. B |
| description | Motivated by the concepts of the inverse Kazhdan-Lusztig polynomial and the
equivariant Kazhdan-Lusztig polynomial, Proudfoot defined the equivariant
inverse Kazhdan-Lusztig polynomial for a matroid. In this paper, we show that
the equivariant inverse Kazhdan-Lusztig polynomial of a matroid is very useful
for determining its equivariant Kazhdan-Lusztig polynomials, and we determine
the equivariant inverse Kazhdan-Lusztig polynomials for Boolean matroids and
uniform matroids. As an application, we give a new proof of Gedeon, Proudfoot
and Young's formula for the equivariant Kazhdan-Lusztig polynomials of uniform
matroids. Inspired by Lee, Nasr and Radcliffe's combinatorial interpretation
for the ordinary Kazhdan-Lusztig polynomials of uniform matroids, we further
present a new formula for the corresponding equivariant Kazhdan-Lusztig
polynomials. |
| doi_str_mv | 10.48550/arxiv.2105.08546 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2105_08546</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2105_08546</sourcerecordid><originalsourceid>FETCH-LOGICAL-a676-214b0ee40ce8cd661fa406de1903351bfd5cc202088cd23b32e52c68e6ae4d4b3</originalsourceid><addsrcrecordid>eNotz71OwzAYhWEvDKhwAUz4BhL8jxlRBQURqUv26Iv9mVpq7OL8iPbqKYXpDK90pIeQO85qZbVmD1C-41ILznTNrFbmmmzaHVL8muMCJUKaaEwLlhHpB5x2HlLVzONpip_0kPfHlIcI-5HmQOcUQy4DHWAqOfrxhlyFc8Lb_12R9vWlXb9VzXbzvn5uKjCPphJc9QxRMYfWeWN4AMWMR_7EpNS8D147J5hg9pyF7KVALZyxaACVV71ckfu_24ukO5Q4QDl2v6LuIpI__hdHhg</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>The equivariant inverse Kazhdan-Lusztig polynomials of uniform matroids</title><source>arXiv.org</source><creator>Gao, Alice L. L ; Xie, Matthew H. Y ; Yang, Arthur L. B</creator><creatorcontrib>Gao, Alice L. L ; Xie, Matthew H. Y ; Yang, Arthur L. B</creatorcontrib><description>Motivated by the concepts of the inverse Kazhdan-Lusztig polynomial and the
equivariant Kazhdan-Lusztig polynomial, Proudfoot defined the equivariant
inverse Kazhdan-Lusztig polynomial for a matroid. In this paper, we show that
the equivariant inverse Kazhdan-Lusztig polynomial of a matroid is very useful
for determining its equivariant Kazhdan-Lusztig polynomials, and we determine
the equivariant inverse Kazhdan-Lusztig polynomials for Boolean matroids and
uniform matroids. As an application, we give a new proof of Gedeon, Proudfoot
and Young's formula for the equivariant Kazhdan-Lusztig polynomials of uniform
matroids. Inspired by Lee, Nasr and Radcliffe's combinatorial interpretation
for the ordinary Kazhdan-Lusztig polynomials of uniform matroids, we further
present a new formula for the corresponding equivariant Kazhdan-Lusztig
polynomials.</description><identifier>DOI: 10.48550/arxiv.2105.08546</identifier><language>eng</language><subject>Mathematics - Combinatorics ; Mathematics - Representation Theory</subject><creationdate>2021-05</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2105.08546$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2105.08546$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Gao, Alice L. L</creatorcontrib><creatorcontrib>Xie, Matthew H. Y</creatorcontrib><creatorcontrib>Yang, Arthur L. B</creatorcontrib><title>The equivariant inverse Kazhdan-Lusztig polynomials of uniform matroids</title><description>Motivated by the concepts of the inverse Kazhdan-Lusztig polynomial and the
equivariant Kazhdan-Lusztig polynomial, Proudfoot defined the equivariant
inverse Kazhdan-Lusztig polynomial for a matroid. In this paper, we show that
the equivariant inverse Kazhdan-Lusztig polynomial of a matroid is very useful
for determining its equivariant Kazhdan-Lusztig polynomials, and we determine
the equivariant inverse Kazhdan-Lusztig polynomials for Boolean matroids and
uniform matroids. As an application, we give a new proof of Gedeon, Proudfoot
and Young's formula for the equivariant Kazhdan-Lusztig polynomials of uniform
matroids. Inspired by Lee, Nasr and Radcliffe's combinatorial interpretation
for the ordinary Kazhdan-Lusztig polynomials of uniform matroids, we further
present a new formula for the corresponding equivariant Kazhdan-Lusztig
polynomials.</description><subject>Mathematics - Combinatorics</subject><subject>Mathematics - Representation Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz71OwzAYhWEvDKhwAUz4BhL8jxlRBQURqUv26Iv9mVpq7OL8iPbqKYXpDK90pIeQO85qZbVmD1C-41ILznTNrFbmmmzaHVL8muMCJUKaaEwLlhHpB5x2HlLVzONpip_0kPfHlIcI-5HmQOcUQy4DHWAqOfrxhlyFc8Lb_12R9vWlXb9VzXbzvn5uKjCPphJc9QxRMYfWeWN4AMWMR_7EpNS8D147J5hg9pyF7KVALZyxaACVV71ckfu_24ukO5Q4QDl2v6LuIpI__hdHhg</recordid><startdate>20210518</startdate><enddate>20210518</enddate><creator>Gao, Alice L. L</creator><creator>Xie, Matthew H. Y</creator><creator>Yang, Arthur L. B</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20210518</creationdate><title>The equivariant inverse Kazhdan-Lusztig polynomials of uniform matroids</title><author>Gao, Alice L. L ; Xie, Matthew H. Y ; Yang, Arthur L. B</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a676-214b0ee40ce8cd661fa406de1903351bfd5cc202088cd23b32e52c68e6ae4d4b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Mathematics - Combinatorics</topic><topic>Mathematics - Representation Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Gao, Alice L. L</creatorcontrib><creatorcontrib>Xie, Matthew H. Y</creatorcontrib><creatorcontrib>Yang, Arthur L. B</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gao, Alice L. L</au><au>Xie, Matthew H. Y</au><au>Yang, Arthur L. B</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The equivariant inverse Kazhdan-Lusztig polynomials of uniform matroids</atitle><date>2021-05-18</date><risdate>2021</risdate><abstract>Motivated by the concepts of the inverse Kazhdan-Lusztig polynomial and the
equivariant Kazhdan-Lusztig polynomial, Proudfoot defined the equivariant
inverse Kazhdan-Lusztig polynomial for a matroid. In this paper, we show that
the equivariant inverse Kazhdan-Lusztig polynomial of a matroid is very useful
for determining its equivariant Kazhdan-Lusztig polynomials, and we determine
the equivariant inverse Kazhdan-Lusztig polynomials for Boolean matroids and
uniform matroids. As an application, we give a new proof of Gedeon, Proudfoot
and Young's formula for the equivariant Kazhdan-Lusztig polynomials of uniform
matroids. Inspired by Lee, Nasr and Radcliffe's combinatorial interpretation
for the ordinary Kazhdan-Lusztig polynomials of uniform matroids, we further
present a new formula for the corresponding equivariant Kazhdan-Lusztig
polynomials.</abstract><doi>10.48550/arxiv.2105.08546</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2105.08546 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2105_08546 |
| source | arXiv.org |
| subjects | Mathematics - Combinatorics Mathematics - Representation Theory |
| title | The equivariant inverse Kazhdan-Lusztig polynomials of uniform matroids |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-21T02%3A57%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20equivariant%20inverse%20Kazhdan-Lusztig%20polynomials%20of%20uniform%20matroids&rft.au=Gao,%20Alice%20L.%20L&rft.date=2021-05-18&rft_id=info:doi/10.48550/arxiv.2105.08546&rft_dat=%3Carxiv_GOX%3E2105_08546%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |