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ÄÐÖ<strong>×</strong>ÓÖÒr>1º Ì<strong>×</strong>ØÖØÒÔÓÒØÒÐÓÓÒÓÖ<strong>×</strong>ØÖÙØÙÖ<strong>×</strong>ØÓÒØÒÖÐÞØÓÒÓ´µºÏ<br />
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ÓÖsl(2,<br />
ØÖØ<strong>×</strong>ÙÑÓØ<strong>×</strong>ÛØ<strong>×</strong>Ô<strong>×</strong>ºÌ<strong>×</strong>ÑÙÐØÒÓÙ<strong>×</strong>ÒÚÐÙ<strong>×</strong>Óρ(h)ÖÐÐÛØ<strong>×</strong>º )<strong>×</strong><br />
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2ÖÒØÖ<strong>×</strong>ºÓÖ ÒعÑÒ<strong>×</strong>ÓÒÐÖÔÖ<strong>×</strong>ÒØØÓÒ¸ÒÒ¸ÚÖÝÒعÑÒ<strong>×</strong>ÓÒÐÖÔÖ<strong>×</strong>ÒØØÓÒ(ρ, V<br />
ÓÖsl(3, C)¸ØÛØ<strong>×</strong>ÖÓØÓÖѵ=(m , m 2 )¸ÛÖm ÓÖÐÐh∈hºÒÓÒ¹ÞÖÓÚØÓÖv<strong>×</strong>Ø<strong>×</strong>ÝÒØÓÚÕÙØÓÒ<strong>×</strong>ÐÐÛØÚØÓÖ<br />
∗<strong>×</strong>ÐÐÛØÓÖρØÖÜ<strong>×</strong>Ø<strong>×</strong>ÒÓÒ¹ÞÖÓÚØÓÖvÒV<strong>×</strong>ÙØØ<br />
1Òm ´¿º¿µ<br />
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ÐÑÒص ∈ h<br />
ÓÖÒÝÒعÑÒ<strong>×</strong>ÓÒÐÖÔÖ<strong>×</strong>ÒØØÓÒρÓg¸ØÛØ<strong>×</strong>ÓρÒØÖÑÙÐØÔÐØÝÖ ÒÚÖÒØÙÒÖØØÓÒÓØÏÝÐÖÓÙÔº ÛØÛصºÌÑÒ<strong>×</strong>ÓÒÓØÛØ<strong>×</strong>Ô<strong>×</strong>ÐÐØÑÙÐØÔÐØÝÓØÛغ<br />
ÌÒÖÐÞØÓÒÓ´µ<strong>×</strong>ØÓÓÑÒÒØÒØÖÐÐÑÒØ<strong>×</strong>ºÒÓÖÖÔÖ<br />
C)ºÂÙ<strong>×</strong>ØÐØÒØÖ<strong>×</strong>mÓÙÖ<strong>×</strong>Ø<strong>×</strong>ØÒÚÐÙ<strong>×</strong>ÓØÖÖÙÐ<br />
2ÒÒÓÒ¹ÒØÚÒØÖ<strong>×</strong><strong>×</strong>ÐÐÓÑÒÒØÒØÖÐй<br />
ÐÑÒØÓÙÖ<strong>×</strong><strong>×</strong>Ø<strong>×</strong>ØÛØÓ<strong>×</strong>ÓÑÖÖÙÐÖÔÖ<strong>×</strong>ÒØØÓÒºÅÓÖÒÖÐÐݸÓÖ<br />
(m 1 , m 2<br />
C)<strong>×</strong>ÓÑÒÒØÒØÖÐÐÑÒØÒ¸ÓÒÚÖ<strong>×</strong>ÐݸØØÚÖÝÓÑÒÒØÒØÖÐ<br />
C)¸ÛÛÐÐ<strong>×</strong>ØØØ<strong>×</strong>ØÛØÓÖÖÙÐÖÔÖ<strong>×</strong>Òع<br />
)ÛØm ÒÒØÖÓÖÔÓ<strong>×</strong>ØÚ<strong>×</strong>ÑÔÐÖÓÓØαÒÓÑÒÒØÒØÖÐØ<strong>×</strong>ÒÓÒ¹ÒØÚº<br />
1Òm ÑÒØÓsl(3, ÖÔÖ<strong>×</strong>ÒØØÓÒ<strong>×</strong>Ósl(2, ØÓÒÓsl(3,<br />
ÑÖºÌ<strong>×</strong><strong>×</strong>ØÒÖÐÞØÓÒÓ´µÒ´µØÓÒÖÐ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong>º ÏÝÐÖÓÙÔºÁØ<strong>×</strong>ÔÖ<strong>×</strong>ÐÝØ<strong>×</strong>ÐÑÒØ<strong>×</strong>ØØÖÓÒØÒÒØÐÓ<strong>×</strong>ÙÒÑÒØÐÏÝÐ ÛØ<strong>×</strong>ÒÒØÖÐÐÑÒغÌ<strong>×</strong>ØÓÒØÖÐÐÑÒØ<strong>×</strong><strong>×</strong>ÒÚÖÒØÙÒÖØØÓÒÓØ ÒÖÐ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ¸ÒÐÑÒص∈h<strong>×</strong>ÐÐÒÒØÖÐÐÑÒØ2 Ì<strong>×</strong>ÒÒÓØÖÓÓØ<strong>×</strong>ÓÖØÖÔÖ<strong>×</strong>ÒØØÓÒØÓÖÝÓ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong><br />
〈µ,α〉<br />
C)Ö<strong>×</strong>ÒÐÓÛÖ¸ )ÛØÓÖ α Ð<strong>×</strong>ÒØÒÖÐÞØÓÒÓ´µºÌÓÔÖØÓÖ<strong>×</strong>ρ(x)Òρ(y)Ósl(2, Ö<strong>×</strong>ÔØÚÐݸØÒÚÐÙ<strong>×</strong>Óρ(h)ºÄØα=(a 1 , a 2 )ÖÓÓØÓsl(3, C)ÒÐØZ ÓÖÖ<strong>×</strong>ÔÓÒÒÖÓÓØÚØÓÖºÄØρÖÔÖ<strong>×</strong>ÒØØÓÒÓsl(3, C)¸Òµ(m 1 , m 2<br />
½<br />
1<br />
ρ(h)v µ = 〈µ, h〉v µ ,<br />
〈α,α〉<strong>×</strong>
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