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ÔØÖºÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ÖÓÑÝÓÒËÔØÖ<br />

Z)ÑØÖ<strong>×</strong> ´º½µ<br />

º¿º¾<br />

ÖÚÒÝØÓÐÐÓÛÒPGL(2,<br />

ÌÏÝÐÑÖ<strong>×</strong><br />

.<br />

ÃÅÄ<strong>×</strong>ÙÔÖÐÖºÖØ<strong>×</strong>ÒÓÒÆÙÐÒÚÐ<strong>×</strong><strong>×</strong>ÖÒ¹ØÖÝÔÖÓÐÃÅ ÑÖ<strong>×</strong>ÒغÌ<strong>×</strong><strong>×</strong>ÒÑÔÓÖØÒØÔÖÓÔÖØÝÒÒ<strong>×</strong>ÙÖ<strong>×</strong>ÑÒÝÒÔÖÓÔÖØ<strong>×</strong>ÓÖØ<br />

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G<br />

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ÓÙÒØØØÛÐÐ<strong>×</strong>ÓØÏÝÐÑÖÓØÃÅÄ<strong>×</strong>ÙÔÖÐÖÒÒØÛØ <strong>×</strong>ØÙØÛÐÐ<strong>×</strong>ÓØÏÝÐÑÖÒÖÐØÓÒØÓØÑÓÙÐ<strong>×</strong>ÔÓØÀÄ<strong>×</strong>ØÖÒÒ ÖÓÙÔØ<strong>×</strong><strong>×</strong>ÑÔÐÝÒØÖÒ<strong>×</strong>ØÚÐÝÓÒØ<strong>×</strong>ØÓÏÝÐÑÖ<strong>×</strong>ºÒÒÎÖÐÒÚ<br />

ÓÑÒ<strong>×</strong>ÒØÑÓÙÐ<strong>×</strong>Ô¸<strong>×</strong>ÔÐÐݸØÝÓÒÛØØÛÐÐ<strong>×</strong>ÓÑÖÒÐ<strong>×</strong>ØÐØÝ ÓÖÖ<strong>×</strong>ÔÓÒÒØÛÒØÛÐÐ<strong>×</strong>ÓØÏÝÐÑÖ<strong>×</strong>ÓØÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>Ò ØÛÐÐ<strong>×</strong>ÓÑÖÒÐ<strong>×</strong>ØÐØݺ<br />

4¹ÈË<strong>×</strong>ØØ<strong>×</strong>ÓØØÓÖݽ℄ºÏÛÐÐÒÓÛ<strong>×</strong>ÙÑÑÖÞØÖÖÙÑÒØ<strong>×</strong>ÒÚ ÓØ1<br />

ØÙÒÑÒØÐÓÑÒ<strong>×</strong>ÒØÛØÖÐ<strong>×</strong>ÑÔÐÖÓÓØÓØÃÅÄ<strong>×</strong>ÙÔÖÐÖº ÀÄÑÓÐ<strong>×</strong>¸ØÙÒÑÒØÐÓÑÒ<strong>×</strong>ÖØÏÝÐÑÖ<strong>×</strong>ÓÑÐÝÓÖÒ¹ØÖ<br />

ÊÐÐØØÛ<strong>×</strong>ÛÒÔØÖ2ØØÛÐÐÓÖÖ<strong>×</strong>ÔÓÒ<strong>×</strong>ØÓÔÖÓÖØÓÒÐÒÙÑÖ<strong>×</strong><br />

ÒÒÎÖÐÒ½℄ÒÒÒÓÐÖ℄Ú<strong>×</strong>ÓÛÒØÓÖN )ºÌ<strong>×</strong><strong>×</strong>ÖÐØØÓÖÐ<strong>×</strong>ÑÔÐÖÓÓØαÓØÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ÓÐÐÓÛ<strong>×</strong><br />

4<strong>×</strong>Ò℄ºÛÐдµÓ<br />

=<br />

ÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ºÌ<strong>×</strong>Û<strong>×</strong>ÜØÒØÓØN =<br />

( b, d ZºÌÒÓÖÑÓØÖÓÓØ<strong>×</strong>½℄ ´º½µ<br />

a c<br />

,<br />

½¾<br />

ÛØac ∈ NZÒad, bc, bd ∈<br />

( ) ( ) ( )<br />

−1 0 1 0 1 2<br />

w δ1 = , w δ2 = , w δ3 =<br />

2 1 0 −1 0 −1<br />

( ) (<br />

( b, d) ↔ a b 2bd<br />

↔ α =<br />

a c<br />

c d ad + bc<br />

−2det(α) = 2(ad − bc) 2 = 2 .<br />

)<br />

ad + bc<br />

2ac<br />

1, 2, 3

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