Ortogonal'nye Razlozheniya Algebr I Konfiguratsii Idempotentov: Nekommutativnaya Kombinatorika - Dmitriy Ivanov - Books - Palmarium Academic Publishing - 9783847394921 - June 6, 2012
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Dmitriy Ivanov
Ortogonal'nye Razlozheniya Algebr I Konfiguratsii Idempotentov: Nekommutativnaya Kombinatorika Russian edition

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Ponyatie ortogonal'nogo razlozheniya poluprostoy assotsiativnoy algebry, vvedenoe avtorom, obobshchaet takie klassicheskie kombinatornye ponyatiya kak konechnye affinnye ploskosti, matritsy Adamara ili bolee obshcho affinnye 2-skhemy. Eti kombinatornye ob"ekty otvechayut sluchayu kommutativnykh algebr. Krome togo, novoe ponyatie peresekaetsya so sravnitel'no molodoy, no dostatochno izvestnoy oblast'yu issledovaniy - ortogonal'nymi razlozheniyami prostykh kompleksnykh algebr Li v summu kartanovskikh podalgebr. Sbalansirovannye sistemy idempotentov v poluprostykh assotsiativnykh algebrakh takzhe byli vvedeny avtorom kak obobshchenie kombinatornykh blok-skhem. Poslednie opyat' zhe otvechayut sluchayu kommutativnykh algebr. Tsel'yu vvedeniya novykh ponyatiy byl poisk effektivnykh podkhodov k resheniyu starykh izvestnykh problem kombinatornogo analiza takikh, kak gipoteza o primarnosti poryadkov konechnykh ploskostey ili gipoteza o sushchestvovanii matritsy Adamara lyubogo poryadka kratnogo 4. Poka novaya tochka zreniya ne privela k resheniyu ni odnoy iz starykh zadach, no zato ona porodila ne menee interesnuyu problematiku, razrabotka kotoroy, kak nadeetsya avtor, pozvolit prodvinut'sya i v klassicheskikh oblastyakh.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released June 6, 2012
ISBN13 9783847394921
Publishers Palmarium Academic Publishing
Pages 164
Dimensions 150 × 10 × 226 mm   ·   249 g
Language Russian  

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