УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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ØÔÖÓÚ<strong>×</strong>ØÐÒÛØÙØÓÑÓÖÔÓÖÑ<strong>×</strong>º ÔØÖ¿ºÃÅÄÐÖ<strong>×</strong><br />
C)º<strong>×</strong><strong>×</strong>Ù<strong>×</strong><strong>×</strong>ÓÖ¸<br />
¸ÛØÖ<strong>×</strong>ÔØØÓØØÛÓ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>ºÌØÓÒÓØÖØÓÒ<strong>×</strong>ÓÒØÖÓÓØ<strong>×</strong><strong>×</strong>ÚÒÝ<br />
2ºÌÑÙÐØÔÐØÝÓÔÓ<strong>×</strong>ØÚÖÓÓØ<strong>×</strong>ÓÒºÌÏÝÐÖÓÙÔ<strong>×</strong>ÚÒ ÄØÙ<strong>×</strong><strong>×</strong>ØÖØÝÓÑÔÙØÒØÒÓÑÒØÓÖÒØØÝÓsl(3,<br />
sl(3, C)<strong>×</strong>ØÛÓ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>α 1Òα 2ºÌ<strong>×</strong>ØÓÔÓ<strong>×</strong>ØÚÖÓÓØ<strong>×</strong>¸L +¸<strong>×</strong>ÚÒÝα 1¸α Òα 3 = α 1 + α<br />
ÝØÔÖÑÙØØÓÒÖÓÙÔÓØÖÐÑÒØ<strong>×</strong>¸S 3ºÌÐÑÒØ<strong>×</strong>ÖØÖØÓÒ<strong>×</strong>r α2ÖÚÒÝ<br />
1Òr ´¿º½µ<br />
2<br />
w αi (α j ) = (α i + α j<br />
´¿º¾µ<br />
)<br />
ÌÐÑÒØ<strong>×</strong>ÓS 3¸ÒÖØÝw α1Òw (1, w α1 , w α2 , w α1 · w α2 , w α2<br />
C)<strong>×</strong>ÚÒÝ )ºÈÙØØÒØÐÐØÓØÖÒØÓ<br />
· w α1 , w α1 · w α2 · w α1 )<br />
ÌØÓÒÓØ<strong>×</strong>ÜÐÑÒØ<strong>×</strong>ÓÒρ<strong>×</strong>(ρ, −α 1 , −α 2 , −ρ, α 1 , α 2<br />
´¿º¿µ Õ´¿ºµØÏÝÐÒÓÑÒØÓÖÓÖÑÙÐÓÖsl(3,<br />
ÛÖρ<strong>×</strong>ØÏÝÐÚØÓÖ¸Òw<strong>×</strong>ÒÐÑÒØÓØÏÝÐÖÓÙÔWºÒÓØÒu=e(−α<br />
ÆÓÛÓÒ<strong>×</strong>ÖØÊÀ˺ ´¿ºµ<br />
1 )<br />
]<br />
´¿ºµ<br />
1 − u − v + u 2 · v + u · v 2 − u 2 · v 2<br />
Ì<strong>×</strong>ÓÑÔÐØ<strong>×</strong>ÓÙÖ<strong>×</strong>Ù<strong>×</strong><strong>×</strong>ÓÒÓØÒÓÑÒØÓÖÓÖÑÙÐÓÖÒعÑÒ<strong>×</strong>ÓÒÐ<strong>×</strong>ѹ ÊÀË= 1 + u 2 · v + u · v 2 − u 2 · v 2 − u − v]<br />
ÑÒ<strong>×</strong>ÓÒÐ<strong>×</strong>¸ÓÒÓØÑÒÔÔÐØÓÒ<strong>×</strong>ÓØÏÝÐÖÓÙÔ<strong>×</strong>ØÐÙÐØÓÒÓÖ¹ <strong>×</strong>Ù<strong>×</strong><strong>×</strong>ØÏÝÐÖÓÙÔÓÒÄÐÖ<strong>×</strong>ÛÒÒËØÓÒ¿ºº¿º<strong>×</strong>ÒØÒع <strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong>ºÏÒÓÛÐÓÓØØÒÓÑÒØÓÖÒØØÝÓÒÄÐÖ<strong>×</strong>ºÏ<br />
2Ò−1ÓØÖÛ<strong>×</strong>ºÌÕÙÐØÝ<strong>×</strong>ÓÚÓÙ<strong>×</strong>º ÛÖÐ(w)<br />
ØÖ<strong>×</strong>Ó<strong>×</strong>ØÛØÑÓÙÐ<strong>×</strong>¸ÒØÒÓÑÒØÓÖÓÖÑÙÐÛ<strong>×</strong>ÒÓ<strong>×</strong>ÓÓØÓØ<br />
= +1ÓÖw= x, x<br />
½¼<br />
w αi (α i ) = −α i ,<br />
)¸ÛØ<br />
∏<br />
(1 − e(−φ)) = ∑ (−1)Ð(w) e(w(ρ) − ρ).<br />
φ∈L + w∈W<br />
Òv=e(−α 2<br />
[<br />
ÄÀË=(1 − u)(1 − v)(1 − uv) =<br />
1,<br />
[<br />
2
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