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Conformally invariant higher order higher spin operators on the sphere

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10128931" target="_blank" >RIV/00216208:11320/12:10128931 - isvavai.cz</a>

  • Result on the web

    <a href="http://proceedings.aip.org/search?sortby=relevance&key=APCPCS&searchzone=2&searchtype=searchin&faceted=faceted&possible1zone=article&fromvolume=1493&fromissue=1&tovolume=1493&toissue=1&q=Smid" target="_blank" >http://proceedings.aip.org/search?sortby=relevance&key=APCPCS&searchzone=2&searchtype=searchin&faceted=faceted&possible1zone=article&fromvolume=1493&fromissue=1&tovolume=1493&toissue=1&q=Smid</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.4765596" target="_blank" >10.1063/1.4765596</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Conformally invariant higher order higher spin operators on the sphere

  • Original language description

    We study conformally invariant differential operators on functions valued in Spin(n)-representations with half-integral highest weights (higher spin representations) on the sphere. We show that for most of these representations there is a unique such operator of arbitrary odd order, and construct new examples for the highest weight (5/2, 1/2, ... , 1/2), using the spectrum generating method by Branson, Orsted and Olafsson [6]. These operators are higher spin analogs of the conformally invariant powers of Dirac operator first constructed by Liu and Ryan [21].

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012

  • ISBN

    978-0-7354-1105-0

  • ISSN

    0094-243X

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    911-916

  • Publisher name

    American Institute of Physics

  • Place of publication

    Melville, New York, USA

  • Event location

    Wien

  • Event date

    Jul 10, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000312264400135