07.01.2014 Views

УК гд а Уж × в

УК гд а Уж × в

УК гд а Уж × в

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

ÔØÖ¿ºÃÅÄÐÖ<strong>×</strong><br />

2ÖÒ<strong>×</strong>ÓÐÐÓÛ<strong>×</strong> ÒÓÑÓÖÔ<strong>×</strong>Ñ<strong>×</strong>gl(V<br />

ÌÄÖØ<strong>×</strong>Ò<strong>×</strong>ÓÐÐÓÛ<strong>×</strong> ´¿º½µ<br />

)ÓØ<strong>×</strong>ÙÔÖÚØÓÖ<strong>×</strong>ÔVºÁØ<strong>×</strong>ÒØÙÖÐZ gl(V ) 0 = {f ∈ gl(V ) : f(V n ) ⊆ V n , n ∈ Z 2 } ,<br />

gl(V ) 1 = {f ∈ gl(V ) : f(V n ) ⊆ V n+1 , n ∈ Z 2 } .<br />

ÓÓÖÖÒÓÖÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong><strong>×</strong>¸¼℄ ´¿º¾µ<br />

¿ºº¾ ÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong><br />

xy y x, x, y ∈ gl(V ) 1 .<br />

ØÓÔ¹ÓÛÒ´ÑÓ<strong>×</strong>ØÐÝÓÐÐÓÛÒ℄µºÌÑÐ<strong>×</strong>ØÓÒÔÔÖÓÝÛÛ<strong>×</strong>ØÙÒع ÙØÓÓÒ<strong>×</strong>ØÖÒØ<strong>×</strong>Ó<strong>×</strong>ÔÒ<strong>×</strong>ÓÔ¸ÓÙÖÒØÖÓÙØÓÒÓÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ÛÐÐ ÑÒ<strong>×</strong>ÓÒÐÄÐÖ<strong>×</strong><strong>×</strong>ÒÓØÔÓ<strong>×</strong><strong>×</strong>ÐÖÒØÓÒÐÝÛÝÓÒÒØÙÐÐÝÙÒÖ<strong>×</strong>ØÒ ÓÖÔÔÖØØ<strong>×</strong>ÙØ<strong>×</strong>ÝÙÒÖØÒØÐ<strong>×</strong>ØÙÝÓغËÓÖØÓØظÛÙ<strong>×</strong>Ø ÒÄÐÖ<strong>×</strong>ØÓÑÓØÚØÒÑØÖ<strong>×</strong>ÙÐØ<strong>×</strong>ÒØ<strong>×</strong><strong>×</strong>ØÓÒÐÓÓÔÐÙ<strong>×</strong>к <strong>×</strong>ÐÖÝÓÒ<strong>×</strong>ØÖÙØÒØÓÒØÜØÓÒعÑÒ<strong>×</strong>ÓÒÐ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong>Ò<br />

ÓÙÒØÒÝÓÒ<strong>×</strong><strong>×</strong>ÒØÏÝйùÓÖÖ<strong>×</strong>´ÏõÒÓÑÒØÓÖÓÖÑÙкÇÙÖÒØÖÓÙ¹ ØÓÒÓÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong><strong>×</strong>ÚÒÛØØÚÖÝÒÖÖÓÛÑÓÙÒÖ<strong>×</strong>ØÒÒØÏà ÇÙÖÑÒÒØÖ<strong>×</strong>ØÒÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ÖÓÑØÔÓÒØÓÚÛÓØÔÖÓÐÑÓ<br />

ØÒÓÑÒØÓÖÒØØݺÓÖÑÓÖÓÒØ<strong>×</strong>ÙØØÖÖ<strong>×</strong>ÖÖØÓØÐØÖØÙÖÓÒ Ø<strong>×</strong>Ùغ ÒÓÑÒØÓÖÓÖÑÙкÏÛÐÐÐÖÒÓÒÐÝ<strong>×</strong>ÓÑÙ<strong>×</strong>ÛÐÐÐÐÓÛÙ<strong>×</strong>ØÓ<strong>×</strong>ØØÒÙÒÖ<strong>×</strong>ØÒ<br />

Ä<strong>×</strong>ÙÔÖÐÖºÏÛÐÐÙ<strong>×</strong>Ø<strong>×</strong>ØIØÓÒÜØ<strong>×</strong>ØÓÒÖØÓÖ<strong>×</strong>ÓØÃÅÄ ÁÒÛØÓÐÐÓÛ<strong>×</strong>ÛÛÐÐÙ<strong>×</strong>ØÓÐÐÓÛÒÒÓØØÓÒºÏÛÐÐÙ<strong>×</strong>GØÓÒÓØÃÅ<br />

.,n}ÓÖÓÙÒØÐÝÒÒØ<strong>×</strong>ØÒÛ<strong>×</strong>Ø<br />

ÒÓØHº iÓÖØÒÖØÓÖ<strong>×</strong>ÓØÄÐÖºÌÖØÒ<strong>×</strong>ÙÐÖÓGÛÐÐ<br />

IØÓÒÜØÓÒÖØÓÖ<strong>×</strong>ºÏÓÒØÒÙ <strong>×</strong>ÙÔÖÐÖºÁØÛÐÐØÖØ<strong>×</strong>Ø{1,<br />

ÚÒØÓØ<strong>×</strong><strong>×</strong>ØØØÚ<strong>×</strong>Ù<strong>×</strong>ÒÙÒÖ<strong>×</strong>ØÒÒÓØ<strong>×</strong>ØÖÙØÙÖÓØÃÅÄ<strong>×</strong>Ù¹<br />

. .<br />

<strong>×</strong>ÒØÛØNºÏÛÐÐÙ<strong>×</strong>Ø<strong>×</strong>ØS ÔÖÐÖÒØÖÑ<strong>×</strong>ÓØÒÖØÓÖ<strong>×</strong>ÖØØØÚÖÝÒÒÒºÏÛÐÐÔÙÖ<strong>×</strong>ÙÐØÖÒØ ÏÛÐÐÖ<strong>×</strong>ØÒÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ØÖÓÙØÖÚÐÐݹËÖÖÖÐØÓÒ<strong>×</strong>ºÌ<br />

⊆<br />

Ù<strong>×</strong>Òe i , h i¸Òf <br />

[x, y] =<br />

{<br />

xy − yx,xÓÖy∈gl(V ) 0 ,

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!