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Fischer Decomposition for Massless Fields of Spin 1 in Dimension 4

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10387119" target="_blank" >RIV/00216208:11320/18:10387119 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s11785-017-0697-x" target="_blank" >https://doi.org/10.1007/s11785-017-0697-x</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11785-017-0697-x" target="_blank" >10.1007/s11785-017-0697-x</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fischer Decomposition for Massless Fields of Spin 1 in Dimension 4

  • Original language description

    The massless field equations for lower integer and half-integer values of spin in Minkowski space are fundamental equations in mathematical physics. Their counterpart in Euclidean spacetime is a system of elliptic equations, which was already studied from the viewpoint of function theory in the framework of so-called Hodge systems for differential forms of various degrees. In dimension 4 it is possible to substitute spinor calculus for the usual tensor notation. In the present paper we concentrate on the case of the massless field equation for spin 1 in dimension 4, and we treat, in a spinor formalism, a fundamental concept of its function theory: the Fischer decomposition of polynomial spinor fields, for which we give simple and independent proofs.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA17-01171S" target="_blank" >GA17-01171S: Invariant differential operators and their applications in geometric modelling and control theory</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Complex Analysis and Operator Theory

  • ISSN

    1661-8254

  • e-ISSN

  • Volume of the periodical

    12

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    18

  • Pages from-to

    439-456

  • UT code for WoS article

    000423719900006

  • EID of the result in the Scopus database

    2-s2.0-85021132221