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On the homotopy type of the classifying space of the exceptional Lie group ▫$F_4$▫Vavpetič, Aleš ; Viruel, AntonioIz prejšnjih del več avtorjev sledi, da je sporadična Liejeva grupa ▫$F_4$▫ ranga 4 kot ▫$p$▫-kompaktna grupa za ▫$p>2$▫ določena z normalizatorjem svojega maksimalnega torusa do izomorfizma natanko. ... V tem članku obravnavamo primer ▫$p=2$▫ in pokažemo, da je ▫$F_4$▫ tudi kot 2-kompaktna grupa določena do izomorfizma natanko z normalizatorjem svojega maksimalnega torusa. To nam omogoča določiti celoštevilski homotopski tip prostora ▫$F_4$▫ med povezanimi končnimi prostori pentelj z maksimalnim torusom.Source: Manuscripta mathematica. - ISSN 0025-2611 (Vol. 107, fasc. 4, 2002, str. 521-540)Type of material - article, component partPublish date - 2002Language - englishCOBISS.SI-ID - 11656281
Author
Vavpetič, Aleš |
Viruel, Antonio
Topics
matematika |
algebraična topologija |
kompaktne Liejeve grupe |
▫$p$▫-kompaktne grupe |
klasifikacijski prostori |
prostori pentelj |
N-determiniranost |
mathematics |
algebraic topology |
compact Lie groups |
▫$p$▫-compact groups |
classifying spaces |
loop spaces |
N-determinism
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| Vavpetič, Aleš | 18839 |
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