WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS
In this paper, we consider how to express an Iwahori–Whittaker function through Demazure characters. Under some interesting combinatorial conditions, we obtain an explicit formula and thereby a generalization of the Casselman–Shalika formula. Under the same conditions, we compute the transition matr...
Gespeichert in:
| Veröffentlicht in: | Journal of the Institute of Mathematics of Jussieu 2019-07, Vol.18 (4), p.759-781 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 781 |
|---|---|
| container_issue | 4 |
| container_start_page | 759 |
| container_title | Journal of the Institute of Mathematics of Jussieu |
| container_volume | 18 |
| creator | Lee, Kyu-Hwan Lenart, Cristian Liu, Dongwen |
| description | In this paper, we consider how to express an Iwahori–Whittaker function through Demazure characters. Under some interesting combinatorial conditions, we obtain an explicit formula and thereby a generalization of the Casselman–Shalika formula. Under the same conditions, we compute the transition matrix between two natural bases for the space of Iwahori fixed vectors of an induced representation of a
$p$
-adic group; this corrects a result of Bump–Nakasuji. |
| doi_str_mv | 10.1017/S1474748017000214 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2577680894</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cupid>10_1017_S1474748017000214</cupid><sourcerecordid>2577680894</sourcerecordid><originalsourceid>FETCH-LOGICAL-c317t-63a1c8220cc81a0b061eb1784c9da85a9a77e3e2dbf7afe42397edc338e24a9c3</originalsourceid><addsrcrecordid>eNp1UF1LwzAUDaLgnP4A3wo-SjU3SZv0MXTdWpwd9APBl5KmqWw4N9PtwX9v5gY-iNyHe7j3fMBB6BbwA2DgjyUw7kY4jDEmwM7QyJ0Cn2KKz38w8w__S3Q1DCtHCUkAI3T_kmZVJZ-SwpvWeVxli7z0ZD7xJsmzfK2LxItTWci4SoryGl306n0wN6c9RvU0qeLUny9mWSznvqbAd35IFWhBCNZagMItDsG0wAXTUadEoCLFuaGGdG3PVW8YoRE3naZUGMJUpOkY3R19t3bzuTfDrllt9vbDRTYk4DwUWETMseDI0nYzDNb0zdYu18p-NYCbQyfNn06chp40at3aZfdmfq3_V30DTgldlg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2577680894</pqid></control><display><type>article</type><title>WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS</title><source>Cambridge University Press Journals Complete</source><creator>Lee, Kyu-Hwan ; Lenart, Cristian ; Liu, Dongwen</creator><creatorcontrib>Lee, Kyu-Hwan ; Lenart, Cristian ; Liu, Dongwen</creatorcontrib><description>In this paper, we consider how to express an Iwahori–Whittaker function through Demazure characters. Under some interesting combinatorial conditions, we obtain an explicit formula and thereby a generalization of the Casselman–Shalika formula. Under the same conditions, we compute the transition matrix between two natural bases for the space of Iwahori fixed vectors of an induced representation of a
$p$
-adic group; this corrects a result of Bump–Nakasuji.</description><identifier>ISSN: 1474-7480</identifier><identifier>EISSN: 1475-3030</identifier><identifier>DOI: 10.1017/S1474748017000214</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Algebra ; Combinatorial analysis ; Mathematical analysis ; Mathematics ; Vectors (mathematics) ; Whittaker functions</subject><ispartof>Journal of the Institute of Mathematics of Jussieu, 2019-07, Vol.18 (4), p.759-781</ispartof><rights>Cambridge University Press 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c317t-63a1c8220cc81a0b061eb1784c9da85a9a77e3e2dbf7afe42397edc338e24a9c3</citedby><cites>FETCH-LOGICAL-c317t-63a1c8220cc81a0b061eb1784c9da85a9a77e3e2dbf7afe42397edc338e24a9c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S1474748017000214/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,776,780,27901,27902,55603</link.rule.ids></links><search><creatorcontrib>Lee, Kyu-Hwan</creatorcontrib><creatorcontrib>Lenart, Cristian</creatorcontrib><creatorcontrib>Liu, Dongwen</creatorcontrib><title>WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS</title><title>Journal of the Institute of Mathematics of Jussieu</title><addtitle>J. Inst. Math. Jussieu</addtitle><description>In this paper, we consider how to express an Iwahori–Whittaker function through Demazure characters. Under some interesting combinatorial conditions, we obtain an explicit formula and thereby a generalization of the Casselman–Shalika formula. Under the same conditions, we compute the transition matrix between two natural bases for the space of Iwahori fixed vectors of an induced representation of a
$p$
-adic group; this corrects a result of Bump–Nakasuji.</description><subject>Algebra</subject><subject>Combinatorial analysis</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Vectors (mathematics)</subject><subject>Whittaker functions</subject><issn>1474-7480</issn><issn>1475-3030</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1UF1LwzAUDaLgnP4A3wo-SjU3SZv0MXTdWpwd9APBl5KmqWw4N9PtwX9v5gY-iNyHe7j3fMBB6BbwA2DgjyUw7kY4jDEmwM7QyJ0Cn2KKz38w8w__S3Q1DCtHCUkAI3T_kmZVJZ-SwpvWeVxli7z0ZD7xJsmzfK2LxItTWci4SoryGl306n0wN6c9RvU0qeLUny9mWSznvqbAd35IFWhBCNZagMItDsG0wAXTUadEoCLFuaGGdG3PVW8YoRE3naZUGMJUpOkY3R19t3bzuTfDrllt9vbDRTYk4DwUWETMseDI0nYzDNb0zdYu18p-NYCbQyfNn06chp40at3aZfdmfq3_V30DTgldlg</recordid><startdate>201907</startdate><enddate>201907</enddate><creator>Lee, Kyu-Hwan</creator><creator>Lenart, Cristian</creator><creator>Liu, Dongwen</creator><general>Cambridge University Press</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7XB</scope><scope>88I</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M2P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>201907</creationdate><title>WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS</title><author>Lee, Kyu-Hwan ; Lenart, Cristian ; Liu, Dongwen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c317t-63a1c8220cc81a0b061eb1784c9da85a9a77e3e2dbf7afe42397edc338e24a9c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Algebra</topic><topic>Combinatorial analysis</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Vectors (mathematics)</topic><topic>Whittaker functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lee, Kyu-Hwan</creatorcontrib><creatorcontrib>Lenart, Cristian</creatorcontrib><creatorcontrib>Liu, Dongwen</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Computing Database</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Journal of the Institute of Mathematics of Jussieu</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lee, Kyu-Hwan</au><au>Lenart, Cristian</au><au>Liu, Dongwen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS</atitle><jtitle>Journal of the Institute of Mathematics of Jussieu</jtitle><addtitle>J. Inst. Math. Jussieu</addtitle><date>2019-07</date><risdate>2019</risdate><volume>18</volume><issue>4</issue><spage>759</spage><epage>781</epage><pages>759-781</pages><issn>1474-7480</issn><eissn>1475-3030</eissn><abstract>In this paper, we consider how to express an Iwahori–Whittaker function through Demazure characters. Under some interesting combinatorial conditions, we obtain an explicit formula and thereby a generalization of the Casselman–Shalika formula. Under the same conditions, we compute the transition matrix between two natural bases for the space of Iwahori fixed vectors of an induced representation of a
$p$
-adic group; this corrects a result of Bump–Nakasuji.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S1474748017000214</doi><tpages>23</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1474-7480 |
| ispartof | Journal of the Institute of Mathematics of Jussieu, 2019-07, Vol.18 (4), p.759-781 |
| issn | 1474-7480 1475-3030 |
| language | eng |
| recordid | cdi_proquest_journals_2577680894 |
| source | Cambridge University Press Journals Complete |
| subjects | Algebra Combinatorial analysis Mathematical analysis Mathematics Vectors (mathematics) Whittaker functions |
| title | WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T16%3A18%3A05IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=WHITTAKER%20FUNCTIONS%20AND%20DEMAZURE%20CHARACTERS&rft.jtitle=Journal%20of%20the%20Institute%20of%20Mathematics%20of%20Jussieu&rft.au=Lee,%20Kyu-Hwan&rft.date=2019-07&rft.volume=18&rft.issue=4&rft.spage=759&rft.epage=781&rft.pages=759-781&rft.issn=1474-7480&rft.eissn=1475-3030&rft_id=info:doi/10.1017/S1474748017000214&rft_dat=%3Cproquest_cross%3E2577680894%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2577680894&rft_id=info:pmid/&rft_cupid=10_1017_S1474748017000214&rfr_iscdi=true |