УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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ÝØÛÓÒÖØÓÖ<strong>×</strong>ÖØÓÒyÒ<strong>×</strong>ØγÚÒÝ ÔØÖ¾ºÓÙÒØÒÝÓÒ<strong>×</strong>ÒËØÖÒÌÓÖÝ<br />
´¾º¿µ<br />
<strong>×</strong>ÓÐÐÓÛ<strong>×</strong> 2ÒÖØÝδÒ<br />
y : α n → α −n , β n → β −n−1Òγ : α n → α n+1 , β n → β n−1 ,<br />
∞º ´¾ºµ <strong>×</strong>Ø<strong>×</strong>ÝÒØÖÐØÓÒ<strong>×</strong>y2 = 1Òy ·γ ·y = γ −1ºÌÖ<strong>×</strong><strong>×</strong>ÓÒZ<br />
δ : α n ←→ β n .<br />
ÌØÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong>(γ, δ)ÒÖØÒÓØÖÖÐ<strong>×</strong>ÝÑÑØÖÝD (2)<br />
α 0<br />
Weyl chamber for N = 4<br />
α<br />
β<br />
1<br />
<strong>×</strong>ÓØÒÓÑÒØÓÖÓÖÑÙкÆÓØØØØÑØÖÓØ<strong>×</strong>ѹÖÐ<strong>×</strong>ÖÙÒ<strong>×</strong> ÖÐ<strong>×</strong>ÒØÖÔÖ<strong>×</strong>ÒØÖÐ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>ØØÔÔÖÛØÑÙÐØÔÐØÝÓÒÒØ<strong>×</strong>ÙÑ Ó<strong>×</strong>ѹÖÐ<strong>×</strong><strong>×</strong>ØÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ÒÒØÖÐ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>ºÓØ<strong>×</strong>ѹ<br />
4ÀÄÑÓÐ<strong>×</strong>ÓÙÒÝÒÒÒØÒÙÑÖ<br />
1<br />
0 1/4 1/3 1/2 2/3 3/4<br />
3/8 5/8<br />
1<br />
Ä<strong>×</strong>ÙÔÖÐÖØØÛÓÒ<strong>×</strong>ØÖÙغ <strong>×</strong>ѹÖÐ<strong>×</strong>ºÏÛÐÐÐØÖ<strong>×</strong>ØØØ<strong>×</strong>ÑÖÓÒÔÔÖ<strong>×</strong><strong>×</strong>ØÏÝÐÑÖÓÃÅ<br />
2<strong>×</strong>ÔÔÖÓ<strong>×</strong>ÐÑØÔÓÒØÓØÒÒØ<strong>×</strong>ÕÙÒÓ<br />
ÙÖ¾ºÌÙÒÑÒØÐÓÑÒÓÖN =<br />
ÄØÖ¸ÛÒÛ<strong>×</strong>ØÙÝÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ÖÐØØÓØÀÄÑÓÐ<strong>×</strong>¸ÛÛÐÐ<strong>×</strong>ØØØ Ì<strong>×</strong>ÓÑÔÐØ<strong>×</strong>ÓÙÖ<strong>×</strong>Ù<strong>×</strong><strong>×</strong>ÓÒÓØÛÐÐ<strong>×</strong>ÓÑÖÒÐ<strong>×</strong>ØÐØÝÓØÀÄÓÖÓÐ<strong>×</strong>º<br />
ÓÒØ<strong>×</strong>ÐÓ<strong>×</strong>ÖØÓ1 2ºÌÔÓÒØ1<br />
ÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>º ÛÐÐ<strong>×</strong>ÓÑÖÒÐ<strong>×</strong>ØÐØÝÖÖÐØØÓØÛÐÐ<strong>×</strong>ÓØÏÝÐÑÖÓØÓÖÖ<strong>×</strong>ÔÓÒÒ<br />
β −1<br />
α −1<br />
β 0<br />
½
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