УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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ÔØÖ¿ºÃÅÄÐÖ<strong>×</strong><br />
ÐÖÓÐعÒÚÖÒØ<strong>×</strong>ÑÓÓØÚØÓÖÐ<strong>×</strong>ÓÒØÖÓÙÔµ¸ÓÖÙ<strong>×</strong>Ø<strong>×</strong>ÒÐÖÓÚÖÐ ¿º¾ ÄÐÖÒÙÒÖ<strong>×</strong>ØÓÓÒÖÐØÓÒØÓÄÖÓÙÔ¸ÛÓ<strong>×</strong>ÐÖØ<strong>×</strong>´<strong>×</strong>Ø ÒØÓÒÒÈÖÓÔÖØ<strong>×</strong><br />
<strong>×</strong>Ø<strong>×</strong>ÝÒÖØÒØÓÒÐÜÓÑ<strong>×</strong>ºÓØØÒÓØÓÒ<strong>×</strong>ÙÐØÑØÐÝ<strong>×</strong>ÖØ<strong>×</strong>ÑÓظ ØÝÓÒÐÝÔÔÖÑÓØÚØÖÓÑÖÒØÔÓÒØ<strong>×</strong>ÓÚÛºÖÓÑØÒÖÖÓÛÔÓÒØÓÚÛÓ Ø<strong>×</strong>ÔØÖ¸ØÓÖ<strong>×</strong><strong>×</strong>ÒØÓØØÓÖÝÓÄÖÓÙÔ<strong>×</strong>ÒÙÒÖ<strong>×</strong>ØÒÄÐÖ<strong>×</strong>ÖÓÑØÑ ÛÓÙÐ<strong>×</strong>ÖÚÙ<strong>×</strong>ÒÓÔÙÖÔÓ<strong>×</strong>¸<strong>×</strong>ÓÛÙ<strong>×</strong>ØÒÄÐÖ<strong>×</strong>ÒÐÖÓÚÖк ÒØÓÒ¿º¾º½ÒÐÖ<strong>×</strong>ÚØÓÖ<strong>×</strong>ÔÓÚÖÐK´Û<strong>×</strong>CÓÖÐÐÓÙÖÔÙÖ¹<br />
ØÓÐÐÓÛÒÔÖÓÔÖØ<strong>×</strong> ÛØ<strong>×</strong>ÐÖÑÙÐØÔÐØÓÒÝÐÑÒØ<strong>×</strong>ÓKºÁØ<strong>×</strong>ÄÐÖ¸ÒØÓÒ¸ØÐ<strong>×</strong>Ó<strong>×</strong><br />
gØØ<strong>×</strong><strong>×</strong>ØÖÙØÚÓÚÖØÓÒÒÓÑÔØÐ ÔÓ<strong>×</strong><strong>×</strong>µÒÓÛÛØÔÖÓÙØ[., .] : g<strong>×</strong>g →<br />
´µÒØ<strong>×</strong>ÝÑÑØÖÝ<br />
.]<strong>×</strong>ÐÒÖ¸ ´µ[.,<br />
[x, x] = 0, ∀x ∈ g (ÒÒ[x,<br />
ÒÙÐÖÑÓÑÒØÙѺÐÐØÒعÑÒ<strong>×</strong>ÓÒÐÄÐÖ<strong>×</strong>ÛÛÐÐ<strong>×</strong>ØÙÝÛÐÐÑØÖÜÄ ÜÑÔÐ<strong>×</strong>ÓÄÐÖ<strong>×</strong>ÒÔÝ<strong>×</strong><strong>×</strong><strong>×</strong>ÓÙÐÑÐÖÖÓÑØ<strong>×</strong>ØÙÝÓØØÓÖÝÓ<br />
´µÂÓÒØØÝ[[x,<br />
C)¸Û<strong>×</strong>Ø<strong>×</strong><strong>×</strong>ÓØÚ<br />
y],<br />
ÓØÓÚÒØÓÒÐÐ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong>ÛÓ<strong>×</strong>ÒØÓÒÛÒÜØÑÓØÚØ ÌÑÓÖÒØÖ<strong>×</strong>ØÒÄÐÖ<strong>×</strong>¸ÒØÓÒ<strong>×</strong>ÛÛÐÐÐÒÛظÖ<strong>×</strong>Ù¹Ð<strong>×</strong><strong>×</strong><br />
n)ÑØÖ<strong>×</strong>ÓÚÖCº ÐÖ<strong>×</strong>¸ØØ<strong>×</strong>¸ØÝÒÙÒÖ<strong>×</strong>ØÓÓ<strong>×</strong><strong>×</strong>ÙÐÖÓgl(n,<br />
aº<br />
ÐÖÓÐÐ(n <strong>×</strong><br />
<strong>×</strong>ØÖÙØÙÖÓ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong>º <strong>×</strong>ÙÐÖ¸ÐÐØÖØÒ<strong>×</strong>ÙÐÖ¸ÛÐÐÔÐÝÒÑÔÓÖØÒØÖÓÐÒÙÒÖ<strong>×</strong>ØÒÒØ 0ºÇÒ<strong>×</strong>Ù ÒØÓÒ¿º¾º¾Ä<strong>×</strong>ÙÐÖaÓg<strong>×</strong><strong>×</strong>Ù<strong>×</strong>Ô<strong>×</strong>Ø<strong>×</strong>ÝÒ[a, a] ⊆<br />
<br />
ÁØ<strong>×</strong>Ð<strong>×</strong>ÓÄÐÖºÄ<strong>×</strong>ÙÐÖa<strong>×</strong>ÐÐÐÒ[a, a] =<br />
´¿º½µ<br />
´¿º¾µ<br />
y] = −[y, x], ∀x, y ∈ g),<br />
z] + [[y, z], x] + [[z, x], y] = 0, ∀x, y, z ∈ g .
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