УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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ρÒvØÓÖÖ<strong>×</strong>ÔÓÒÒÛØÚØÓÖºÌÒ¸ÔØÖ¿ºÃÅÄÐÖ<strong>×</strong><br />
ρ(h 1<br />
)v<strong>×</strong>ÒÛÛØÚØÓÖÛØÛØ ´¿º¼µ<br />
)ρ(z α = (m 1 + a 1 )ρ(Z α ,<br />
ÓÖÒÖÐ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ¸ÐØvÛØÚØÓÖÛØÛصÒ<strong>×</strong>ÙÔÔÓ<strong>×</strong> ´¿º½µ ÌÙ<strong>×</strong>¸ØÖρ(Z α )v = 0ÓÖρ(Z α<br />
FhÛÚ<br />
µ + α = (m 1 + a 1 , m 2 + a 2 ) .<br />
´¿º¾µ<br />
x α<strong>×</strong>ÒÐÑÒØÓg αºÌÒ¸ÓÖÐÐh ∈<br />
ÛØ<strong>×</strong>Û<strong>×</strong>Ù<strong>×</strong>ØØÓÑÔÖ<strong>×</strong>ÓÒÓØÒØÖ<strong>×</strong>¸ÙØÓÖÒÖÐ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ<br />
C)ØÛØ<strong>×</strong>ÛÖÒØÖ<strong>×</strong>mÒØÒÓØÓÒÓÓÑÔÖÒØÛÓ αº<br />
ÐÖÝÛØØÑÒ<strong>×</strong>ØÓ<strong>×</strong>ÝÛØ<strong>×</strong>ÖØÒÒÓØÖºÏÛÐÐÐÐÙ<strong>×</strong>ØÖØØÓÖØ<br />
ÌÓÚÕÙØÓÒ<strong>×</strong>Ý<strong>×</strong>ØØρ(x α<br />
)ÒÛÒØÓ<br />
)v<strong>×</strong>ØÖÞÖÓÓÖ<strong>×</strong>ÛØÚØÓÖÛØÛص ÓÖØ<strong>×</strong>Ósl(2,<br />
ØÓÖÑ 2´Õº´¿º¾¿µµ¸ÒØÛÓÛØ<strong>×</strong> ØÛØ<strong>×</strong>ÓÐÐØÓÒÓØ<strong>×</strong>ÑÙÐØÒÓÙ<strong>×</strong>ÒÚÐÙ<strong>×</strong>ÓÐÐØρ(h 2ÒÛÖØØÒÒ<br />
i<br />
<strong>×</strong>Ósl(3, C)ºÚÒØØÛÓÔÓ<strong>×</strong>ØÚ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>α 1Òα ´¿º¿µ<br />
µ 1Òµ 2¸Û<strong>×</strong>ÝØص 1<strong>×</strong>ÖØÒµ 2´ÒÓص 1 ≽ µ 2µµ − µ<br />
µºÌ<strong>×</strong><strong>×</strong>ÐÐØ<strong>×</strong>ØÛØÓρº<br />
µ 1 − µ 2 = aα 1 + bα 2<br />
µ¸ÓÖÐÐÛØ<strong>×</strong><br />
,<br />
C)¸<br />
ÒÒÝÒÖÐ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ¸ÒØÓÖÑÓØÓÖÑÐÓÛºÁÒØ<strong>×</strong>Ó<br />
ÛØa≥0Òb≥0ºÒÐÓÓÙ<strong>×</strong>ØÓØÐÖ<strong>×</strong>ØÒÚÐÙÒÖÔÖ<strong>×</strong>ÒØØÓÒÓsl(2, ØÖÜ<strong>×</strong>Ø<strong>×</strong>Ûص 0ÒÖÔÖ<strong>×</strong>ÒØØÓÒÓsl(3, C)<strong>×</strong>ÙØص 0 ≽<br />
C)¸<br />
ÚÐÙÓρ(h)ºÌ<strong>×</strong><strong>×</strong>ÒÓ´µ¸´µ¹´Áµ<strong>×</strong>ØØÒÝØÛÓÖÖÙÐÖÔÖ<strong>×</strong>ÒØØÓÒ<strong>×</strong>Ó<br />
C)ÖÖÙÐÖÔÖ<strong>×</strong>ÒØØÓÒρ(h)<strong>×</strong>ÓÒÐÞиÒØÖ<strong>×</strong>ÐÖ<strong>×</strong>ØÒ¹ ÆÓÛÛÚÒÓÙ<strong>×</strong>ØÓÔÙØØÓØÖØÒÖÐÞØÓÒ<strong>×</strong>Ó´µ¸´µ¹´ÁµØÓsl(3,<br />
ÙÐÖÔÖ<strong>×</strong>ÒØØÓÒÛØØ<strong>×</strong>ØÒÚÐÙmºÆÓÛÛ<strong>×</strong>ØØØØÓÖÑÓ<strong>×</strong>Ø ÒÓÒ¹ÒØÚÒØÖ¸Ò¸ÓÒÚÖ<strong>×</strong>ÐݸÓÖÚÖÝÒÓÒ¹ÒØÚÒØÖm¸ØÖ<strong>×</strong>ÒÖÖ¹<br />
C)ÛØØ<strong>×</strong>ÑÐÖ<strong>×</strong>ØÒÚÐÙÖÕÙÚÐÒغÌ<strong>×</strong>ØÒÚÐÙ<strong>×</strong>ÐÛÝ<strong>×</strong><br />
sl(2,<br />
C)ÒÒÖÐÞØØÓÒÝÒعÑÒ<strong>×</strong>ÓÒÐ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖº<br />
sl(2,<br />
¾ ÛØÓÖsl(3,<br />
ρ(h 2 )ρ(z α )v = (m 2 + a 2 )ρ(Z α )v .<br />
ρ(h)ρ(x α )v = (〈µ, h〉 + 〈α, h〉)ρ(x α )v .<br />
+<br />
1
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