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¿ºº¾ ÌÊÓÓØËÝ<strong>×</strong>ØÑ ÔØÖ¿ºÃÅÄÐÖ<strong>×</strong><br />

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i ∈ H i = 1, . . .,<br />

Ĥ =<strong>×</strong>ÔÒ{k,<br />

Ò ´¿ºµ<br />

[h i<br />

Ø<strong>×</strong>ØÓÖÓÓØ<strong>×</strong><strong>×</strong> ´¿ºµ<br />

0 , ej n ] = (hi 0 , h0 j )ej n , [k, ej n ] = 0, [d, ej n ] = nej n<br />

Ò ´¿ºµ<br />

[h i 0, h j n] = [k, h j n] = 0, [d, h j n] = nh j n .<br />

ÏÖØÒØÖÓÓØ<strong>×</strong>ˆα<strong>×</strong>Ù<strong>×</strong>ØÚÐÝ<strong>×</strong>ØÖÔÐØÓÒÚÐÙ<strong>×</strong>ÙÒÖØÒÖØÓÖ<strong>×</strong>(h i 0<br />

ˆα n i = (αi , 0, n),<br />

nÓ´¿ºµ<strong>×</strong>ÑÙÐØÔÐØÝÓÒ¸ÛÐØÖÓÓØ<br />

α ∈ L(g), n ∈ Z,<br />

0ÒÖØÓÖ<strong>×</strong>Ò<strong>×</strong>Ò<br />

i<strong>×</strong>ÖÓÓØÓØ<br />

ˆα<br />

ÏØÓÙØØÒÖØÓÖdØÓ<strong>×</strong>ØÒÙ<strong>×</strong>ØÐÚÐnÓØÖÓÓظÐÐØÖÓÓØ<strong>×</strong>ÖÒÒØÐÝ<br />

0ÛØØÒÚÐÙ0ÒØÖÖr<strong>×</strong>ÙÒÖØÓÖ<strong>×</strong>º<br />

ÓÖÖ<strong>×</strong>ÔÓÒÒØÓØÒÖØÓÖ<strong>×</strong>e i nÒh 0¸Ö<strong>×</strong>ÔØÚÐݺÌÖÓÓØα ÓÖÞÓÒØÐ<strong>×</strong>ÙÐÖgºÓØÖÓÓØ<strong>×</strong>ˆα<br />

ÒÖغÌÒÖØÓÖdØÙ<strong>×</strong>Ö<strong>×</strong>³ØÐÖĝÓÖÒØÓØÐÚÐnÒÓÒÐÝØÒ ÀÖÛÒÙÒÖ<strong>×</strong>ØÒØÒ<strong>×</strong><strong>×</strong>ØÝØÓÒÐÙØÒÖØÓÖdÒØÖØÒ<strong>×</strong>ÙÐÖº<br />

i<br />

̂α n<strong>×</strong>ÑÙÐØÔÐØÝr¸<strong>×</strong>ÒØÓ<strong>×</strong>ÒÓØÔÒÓÒØÐÐjÓØh 0<br />

ÒÚÐÙÓh j Ì<strong>×</strong>ØÓÖÓÓØ<strong>×</strong>Óĝ<strong>×</strong>ÒÓØÝ̂L¸ÒØÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑÓØÓÖÞÓÒØÐ<strong>×</strong>ÙÐÖ<br />

nÒ´¿ºµº nÓ´¿ºµÖÒÓÒ¹ÒÖغÏÒÒÓظÓÛÚÖ¸ÖÑÓÚØÒÖÝ<br />

ÐÒ<strong>×</strong>ºÌÖÓÓØ<strong>×</strong>ÖÙ<strong>×</strong>ØØÓÐÐØÓÒÓ<strong>×</strong>ÑÙÐØÒÓÙ<strong>×</strong>ÒÚÐÙ<strong>×</strong>ÓØÐÑÒØ<strong>×</strong>ÓØ<br />

0)¸ÒÓØL<strong>×</strong>ÓÖº<br />

ÖØÖÓÓØ<strong>×</strong>̂α i<br />

ÖØÒ<strong>×</strong>ÙÐÖºÀÓÛÚÖ¸ØÖØÒ<strong>×</strong>ÙÐÖÒØ<strong>×</strong><strong>×</strong><strong>×</strong>ÒØÖÐÐÝÜØÒØÓ ËÓÖØÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>ÓgÒĝÖÚÖÝÑÙ<strong>×</strong>ÑÐÖÒÓÒ<strong>×</strong>ØÖÙØÐÓÒØ<strong>×</strong>Ñ<br />

ÓØÖÓÓØ̂α 0<br />

ÒÐÙØÛÓÑÓÖÒÖØÓÖ<strong>×</strong>ÒØÖÓÓØ<strong>×</strong>Ð<strong>×</strong>ÓÓÒØÒØÒÚÐÙ<strong>×</strong>ÓØ<strong>×</strong>ÒÖØÓÖ<strong>×</strong>º<br />

g<strong>×</strong>Ù<strong>×</strong>ØØ<strong>×</strong>Ù<strong>×</strong>Ø̂α 0 i = (αi , 0,<br />

<br />

d,<br />

h i 0<br />

| i = 1, . . .,r} ´¿ºµ<br />

, k, d)¸<br />

´¿ºµ<br />

n 0 = (0, 0, n), n ∈ Z\{0},<br />

j<br />

n , n ≠ j

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