УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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ØÖÐÒÖØÓÖ¸y¸<strong>×</strong>ÒÒÕº´¾º¿µº<br />
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´<strong>×</strong>Õº´º¿¿µµ¸ØÑÓÙÐÖÓÖÑ<strong>×</strong>ÓÙÒÖØÏÝÐÖØÓÒºÇÒ<strong>×</strong> 0Ò<strong>×</strong><strong>×</strong>Ù<strong>×</strong><strong>×</strong>ÖÐÖ<br />
(Z) ÏÝÐÌÖÒ<strong>×</strong>ÓÖÑØÓÒÓ˜∆3/2 ÌØÖÒ<strong>×</strong>ÓÖÑØÓÒr → r −1<strong>×</strong>ØÏÝÐÖØÓÒÓÙØØÖÓÓØα<br />
ÌÖØÓÒÙØÓÒÝÓØÖÐÑÒØÖÝÏÝÐÖØÓÒÛÐÐÐ<strong>×</strong>ÓÚØ<strong>×</strong>Ñ<strong>×</strong>ÒºÏ ´º¿µ<br />
ÖÔØÒÖÙÑÒØÖÓÑØÔÔÒÜÓ℄ØÓ<strong>×</strong>ÓÛØ<strong>×</strong>ºÖ<strong>×</strong>ظØÖØÓÒÙØÓ<br />
.<br />
ØÓÒÝØÑØÖÜ℄ )ºÌØÓÒÓÒZ<strong>×</strong>ÕÙÚÐÒØØÓSp(2, α<br />
ÌÑÒÙ<strong>×</strong><strong>×</strong>ÒÙØÓØÏÝÐÖØÓÒÑÔÐ<strong>×</strong>ØØØÖØÖ¸v(M)¸<strong>×</strong><strong>×</strong>ÓØÛØ<br />
0<strong>×</strong>ÖÔÖ<strong>×</strong>ÒØÝØÑØÖÜw Z)<br />
−1ºÆÜظÒÝÓØÖÐÑÒØÖÝÏÝÐ ∞º<br />
M<br />
ÙÒÖÐÐÐÑÒØÖÝÖØÓÒ<strong>×</strong>ºÀÒÓÒ<strong>×</strong><br />
−1ÓÖ<strong>×</strong>ÓÑÒÚÖØÐÑØÖÜsºÁØÓÐÐÓÛ<strong>×</strong>ØØØÖØÖ (Z)<strong>×</strong>Ó<br />
(Z)<strong>×</strong><strong>×</strong>ÙØØv(M) ØÑÓÙÐÖÓÖј∆3/2 =<br />
ÖØÓÒ¸w¸ÑÙ<strong>×</strong>ØÓÒÙØØÓw 0Ø<strong>×</strong><strong>×</strong>ÓÒ<strong>×</strong>ÕÙÒÓÖÐ<strong>×</strong>ÝÑÑØÖݸD (2)<br />
ÀÒ¸ÓÒ<strong>×</strong>w=s · w 0 · s<br />
<strong>×</strong><strong>×</strong>ÓØÛØØÏÝÐÖØÓÒw<strong>×</strong>Ø<strong>×</strong>Ñ<strong>×</strong>ØØÓÖw 4<strong>×</strong>ÚÒÝ 0ºÁÒÓØÖ<strong>×</strong>¸˜∆3/2<br />
´º¿µ<br />
´º¿µ ÏØÙ<strong>×</strong><strong>×</strong>ØØØÜØÒ˹ÙÐØÝÖÓÙÔÓÖN =<br />
ÐØÓÙØ<strong>×</strong>ØÖÙØÙÖÓØÃÅÄ<strong>×</strong>ÙÔÖÐÖ˜G4<strong>×</strong>ÑÓÖÓÑÔÐØ<strong>×</strong>ÓÑÔÖ<br />
∞<strong>×</strong>ØÒÒعÑÒ<strong>×</strong>ÓÒÐÖÐÖÓÙÔÒÖØÝγÒδº<br />
∞ , Z)ÒØÙ<strong>×</strong><strong>×</strong>ÒÓØÒ<br />
3℄º<br />
ÛÖW(A (4) )<strong>×</strong>ØÓÜØÖÖÓÙÔÒÖØÝØÖØÓÒ<strong>×</strong>ÝÐÐÖÐ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>x ÒD (2)<br />
½¾<br />
ÌÒÖØÓÖy<strong>×</strong>ÒÓØÖÐÞ<strong>×</strong>ÒÐÑÒØÓÐÚÐ4<strong>×</strong>ÙÖÓÙÔÓPGL(2, ÐÑÒØÓØÜØÒ˹ÙÐØÝÖÓÙÔºÌ<strong>×</strong><strong>×</strong><strong>×</strong>ÑÐÖØÓÛØÔÔÒ<strong>×</strong>ÓÖN = 2,<br />
0<br />
( ( )<br />
1 0 1 0<br />
w α0 · Z =<br />
)Ì· Z ·<br />
0 −1 0 −1<br />
(<br />
1 0<br />
≡<br />
0 −1<br />
=<br />
(<br />
(w −1<br />
)<br />
0 )Ì0<br />
,<br />
0 w 0<br />
˜∆ 3/2 (w · Z) = det(w) ˜∆ 3/2 (Z) .<br />
W(A (4) ) ⋊ D (2)<br />
m
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