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On E-functions of semisimple Lie groups

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00190039" target="_blank" >RIV/68407700:21340/11:00190039 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1088/1751-8113/44/32/325205" target="_blank" >http://dx.doi.org/10.1088/1751-8113/44/32/325205</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1088/1751-8113/44/32/325205" target="_blank" >10.1088/1751-8113/44/32/325205</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On E-functions of semisimple Lie groups

  • Original language description

    We develop and describe continuous and discrete transforms of class functions on a compact semisimple, but not simple, Lie group G as their expansions into series of special functions that are invariant under the action of the even subgroup of the Weyl group of G. We distinguish two cases of even Weyl groups-one is the direct product of even Weyl groups of simple components of G and the second is the full even Weyl group of G. The problem is rather simple in two dimensions. It is much richer in dimensions greater than two-we describe in detail E-transforms of semisimple Lie groups of rank 3.

  • Czech name

  • Czech description

Classification

  • Type

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

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Physics A: Mathematical and Theoretical

  • ISSN

    1751-8113

  • e-ISSN

  • Volume of the periodical

    44

  • Issue of the periodical within the volume

    32

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    20

  • Pages from-to

    "nečíslov. (ArtNo=325205)"

  • UT code for WoS article

    000293176700007

  • EID of the result in the Scopus database