Metaplectic Whittaker Functions and Crystals of Type B
Identifieur interne : 000166 ( Main/Exploration ); précédent : 000165; suivant : 000167Metaplectic Whittaker Functions and Crystals of Type B
Auteurs : Ben Brubaker [États-Unis] ; Daniel Bump [États-Unis] ; Gautam Chinta [États-Unis] ; Paul E. Gunnells [États-Unis]Source :
- Progress in Mathematics ; 2012.
Abstract
Abstract: The spherical metaplectic Whittaker function on the double cover of Sp (2r, F), where F is a nonarchimedean local field, is considered from several different points of view. Previously, an expression, similar to the Casselman–Shalika formula, had been given by Bump, Friedberg, and Hoffstein as a sum is over the Weyl group. It is shown that this coincides with the expression for the p-parts of Weyl group multiple Dirichlet series of type B r as defined by the averaging method of Chinta and Gunnells. Two conjectural expressions as sums over crystals of type B are given and another as the partition function of a free-fermionic six-vertex model system.
Url:
DOI: 10.1007/978-0-8176-8334-4_4
Affiliations:
- États-Unis
- Californie, Massachusetts, État de New York
- Amherst (Massachusetts)
- Université du Massachusetts
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001B82
- to stream Istex, to step Curation: 001B82
- to stream Istex, to step Checkpoint: 000132
- to stream Main, to step Merge: 000166
- to stream Main, to step Curation: 000166
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Metaplectic Whittaker Functions and Crystals of Type B</title><author><name sortKey="Brubaker, Ben" sort="Brubaker, Ben" uniqKey="Brubaker B" first="Ben" last="Brubaker">Ben Brubaker</name></author><author><name sortKey="Bump, Daniel" sort="Bump, Daniel" uniqKey="Bump D" first="Daniel" last="Bump">Daniel Bump</name></author><author><name sortKey="Chinta, Gautam" sort="Chinta, Gautam" uniqKey="Chinta G" first="Gautam" last="Chinta">Gautam Chinta</name></author><author><name sortKey="Gunnells, Paul E" sort="Gunnells, Paul E" uniqKey="Gunnells P" first="Paul E." last="Gunnells">Paul E. Gunnells</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:87C5FB74D5EFDF26DA8A872A7C2099A5DFA96C0E</idno><date when="2012" year="2012">2012</date><idno type="doi">10.1007/978-0-8176-8334-4_4</idno><idno type="url">https://api.istex.fr/document/87C5FB74D5EFDF26DA8A872A7C2099A5DFA96C0E/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001B82</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001B82</idno><idno type="wicri:Area/Istex/Curation">001B82</idno><idno type="wicri:Area/Istex/Checkpoint">000132</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000132</idno><idno type="wicri:Area/Main/Merge">000166</idno><idno type="wicri:Area/Main/Curation">000166</idno><idno type="wicri:Area/Main/Exploration">000166</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Metaplectic Whittaker Functions and Crystals of Type B</title><author><name sortKey="Brubaker, Ben" sort="Brubaker, Ben" uniqKey="Brubaker B" first="Ben" last="Brubaker">Ben Brubaker</name><affiliation wicri:level="1"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics, MIT, MA, 02139–4307, Cambridge</wicri:regionArea><wicri:noRegion>Cambridge</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country></affiliation></author><author><name sortKey="Bump, Daniel" sort="Bump, Daniel" uniqKey="Bump D" first="Daniel" last="Bump">Daniel Bump</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics, Stanford University, 94305–2125, Stanford, CA</wicri:regionArea><placeName><region type="state">Californie</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country></affiliation></author><author><name sortKey="Chinta, Gautam" sort="Chinta, Gautam" uniqKey="Chinta G" first="Gautam" last="Chinta">Gautam Chinta</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics, The City College of New York, 10031, New York, NY</wicri:regionArea><placeName><region type="state">État de New York</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country></affiliation></author><author><name sortKey="Gunnells, Paul E" sort="Gunnells, Paul E" uniqKey="Gunnells P" first="Paul E." last="Gunnells">Paul E. Gunnells</name><affiliation wicri:level="4"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics and Statistics, University of Massachusetts, 01003, Amherst, MA</wicri:regionArea><placeName><region type="state">Massachusetts</region><settlement type="city">Amherst (Massachusetts)</settlement></placeName><orgName type="university">Université du Massachusetts</orgName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country></affiliation></author></analytic><monogr></monogr><series><title level="s">Progress in Mathematics</title><imprint><date>2012</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: The spherical metaplectic Whittaker function on the double cover of Sp (2r, F), where F is a nonarchimedean local field, is considered from several different points of view. Previously, an expression, similar to the Casselman–Shalika formula, had been given by Bump, Friedberg, and Hoffstein as a sum is over the Weyl group. It is shown that this coincides with the expression for the p-parts of Weyl group multiple Dirichlet series of type B r as defined by the averaging method of Chinta and Gunnells. Two conjectural expressions as sums over crystals of type B are given and another as the partition function of a free-fermionic six-vertex model system.</div></front></TEI><affiliations><list><country><li>États-Unis</li></country><region><li>Californie</li><li>Massachusetts</li><li>État de New York</li></region><settlement><li>Amherst (Massachusetts)</li></settlement><orgName><li>Université du Massachusetts</li></orgName></list><tree><country name="États-Unis"><noRegion><name sortKey="Brubaker, Ben" sort="Brubaker, Ben" uniqKey="Brubaker B" first="Ben" last="Brubaker">Ben Brubaker</name></noRegion><name sortKey="Brubaker, Ben" sort="Brubaker, Ben" uniqKey="Brubaker B" first="Ben" last="Brubaker">Ben Brubaker</name><name sortKey="Bump, Daniel" sort="Bump, Daniel" uniqKey="Bump D" first="Daniel" last="Bump">Daniel Bump</name><name sortKey="Bump, Daniel" sort="Bump, Daniel" uniqKey="Bump D" first="Daniel" last="Bump">Daniel Bump</name><name sortKey="Chinta, Gautam" sort="Chinta, Gautam" uniqKey="Chinta G" first="Gautam" last="Chinta">Gautam Chinta</name><name sortKey="Chinta, Gautam" sort="Chinta, Gautam" uniqKey="Chinta G" first="Gautam" last="Chinta">Gautam Chinta</name><name sortKey="Gunnells, Paul E" sort="Gunnells, Paul E" uniqKey="Gunnells P" first="Paul E." last="Gunnells">Paul E. Gunnells</name><name sortKey="Gunnells, Paul E" sort="Gunnells, Paul E" uniqKey="Gunnells P" first="Paul E." last="Gunnells">Paul E. Gunnells</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000166 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000166 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Mathematiques
|area= BourbakiV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:87C5FB74D5EFDF26DA8A872A7C2099A5DFA96C0E
|texte= Metaplectic Whittaker Functions and Crystals of Type B
}}
| This area was generated with Dilib version V0.6.33. |  |