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The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10104517" target="_blank" >RIV/00216208:11320/12:10104517 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1002/mma.1527" target="_blank" >http://dx.doi.org/10.1002/mma.1527</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1002/mma.1527" target="_blank" >10.1002/mma.1527</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces

  • Original language description

    The classical Fischer decomposition of spinor-valued polynomials is a key result on solutions of the Dirac equation in the Euclidean space R^m. As is well-known, it can be understood as an irreducible decomposition with respect to the so-called L-actionof the Pin group Pin(m). But, on Clifford algebra valued polynomials, we can consider also the H-action of Pin(m). In this paper, the corresponding Fischer decomposition for the H-action is obtained. It turns out that, in this case, basic building blocksare the spaces of homogeneous solutions to the Hodge-de Rham system. Moreover, it is shown that the Fischer decomposition for the H-action can be viewed even as a refinement of the classical one.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F08%2F0397" target="_blank" >GA201/08/0397: Algebraic methods in geometry and topology</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematical Methods in the Applied Sciences

  • ISSN

    0170-4214

  • e-ISSN

  • Volume of the periodical

    35

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    7

  • Pages from-to

    10-16

  • UT code for WoS article

    000298601900002

  • EID of the result in the Scopus database