Joseph-like ideals and harmonic analysis for $osp(m|2n)$

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10191635" target="_blank" >RIV/00216208:11320/13:10191635 - isvavai.cz</a>

Výsledek na webu

<a href="http://imrn.oxfordjournals.org/content/early/2013/04/22/imrn.rnt074.abstract" target="_blank" >http://imrn.oxfordjournals.org/content/early/2013/04/22/imrn.rnt074.abstract</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1093/imrn/rnt074" target="_blank" >10.1093/imrn/rnt074</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Joseph-like ideals and harmonic analysis for $osp(m|2n)$

Popis výsledku v původním jazyce

The Joseph ideal in the universal enveloping algebra Graphic is the annihilator ideal of the Graphic-representation on the harmonic functions on Graphic. The Joseph ideal for Graphic is the annihilator ideal of the Segal-Shale-Weil (metaplectic) representation. Both ideals can be constructed in a unified way from a quadratic relation in the tensor algebra Graphic for Graphic equal to Graphic or Graphic. In this paper, we construct two analogous ideals in Graphic and Graphic for Graphic the orthosymplectic Lie super-algebra Graphic and prove that they have unique characterizations that naturally extend the classical case. Then we show that these two ideals are the annihilator ideals of, respectively, the Graphic-representation on the spherical harmonicson Graphic and a generalization of the metaplectic representation to Graphic. This proves that these ideals are reasonable candidates to establish the theory of Joseph-like ideals for Lie super-algebras. We also discuss the relation betw

Název v anglickém jazyce

Joseph-like ideals and harmonic analysis for $osp(m|2n)$

Popis výsledku anglicky

The Joseph ideal in the universal enveloping algebra Graphic is the annihilator ideal of the Graphic-representation on the harmonic functions on Graphic. The Joseph ideal for Graphic is the annihilator ideal of the Segal-Shale-Weil (metaplectic) representation. Both ideals can be constructed in a unified way from a quadratic relation in the tensor algebra Graphic for Graphic equal to Graphic or Graphic. In this paper, we construct two analogous ideals in Graphic and Graphic for Graphic the orthosymplectic Lie super-algebra Graphic and prove that they have unique characterizations that naturally extend the classical case. Then we show that these two ideals are the annihilator ideals of, respectively, the Graphic-representation on the spherical harmonicson Graphic and a generalization of the metaplectic representation to Graphic. This proves that these ideals are reasonable candidates to establish the theory of Joseph-like ideals for Lie super-algebras. We also discuss the relation betw

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Mathematics Research Notices

ISSN

1073-7928

e-ISSN

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Svazek periodika

2013

Číslo periodika v rámci svazku

15

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

50

Strana od-do

4291-4340

Kód UT WoS článku

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EID výsledku v databázi Scopus

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