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ÔØÖ¿ºÃÅÄÐÖ<strong>×</strong><br />

nº<br />

C)ºÁØ<strong>×</strong>ÓÖÒnº<br />

¿ºC ÁÒÖÒÓÒ¸ØÖ<strong>×</strong>ÓÒÐÝÓÒÔÓ<strong>×</strong><strong>×</strong>ÐÝÒÒÖѸÖØÒØØØÖ<strong>×</strong>ÓÒÐÝÓÒ ÏÒÓØÛÒØÖ<strong>×</strong>ØÒÔÓÒØ<strong>×</strong>ÓÙØØÓÚÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>ØØÔÔÒÒÐÓÛÖÒº ÌÝÒÒÖÑ<strong>×</strong><strong>×</strong><strong>×</strong>ÓØÛØØÓÚÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>ÖÚÒÒº(3.1)º<br />

nÌÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑC n<strong>×</strong>ØÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑÓØÄÐÖsp(n, ºD nÌÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑD n<strong>×</strong>ØÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑÓØÄÐÖso(2n,<br />

2<strong>×</strong><strong>×</strong>ÓÒÒظÖØÒØØØØ <strong>×</strong>ÓÑÓÖÔ<strong>×</strong>ÑÐ<strong>×</strong><strong>×</strong>ÓÓÑÔÐÜ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong>ÒÖÒÓÒºÌÄÐÖso(2, 2Ö<strong>×</strong>ÓÑÓÖÔ¸ÖØÒ<br />

C)<br />

<strong>×</strong><strong>×</strong>ÓØØÓØÐ<strong>×</strong><strong>×</strong>ÐÄÐÖ<strong>×</strong>¸ØÖÖÚÜÔØÓÒÐÖÖÙÐÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>¸<br />

<strong>×</strong>ÒÓØ<strong>×</strong>ѹ<strong>×</strong>ÑÔиÒØÖÑÒÒØÖÄÐÖ<strong>×</strong>sl(2, C),<br />

3Ö <strong>×</strong>ÓÑÓÖÔºÁÒÖÒØÛÓ¸ØÝÒÒÖÑD so(4, C) ∼ = sl(2, C)⊕sl(2, C)ºÐ<strong>×</strong>Ó¸ØÝÒÒÖÑ<strong>×</strong>B 2ÒC ØØØØso(5, C) ∼ = sp(2,<br />

8º<br />

C)ºÁÒØÓÒØÓØÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong><br />

C)ºÁÒÖÒØÖ¸ØÝÒÒÖÑ<strong>×</strong>A 3ÒD <strong>×</strong>ÓÑÓÖÔ¸ÖØÒØØØØsl(4, C) ∼ = so(6,<br />

ÖÓÑØÓÐÐÓÛÒÐ<strong>×</strong>غ ÌÓÖÑ¿º¿ºÚÖÝÖÖÙÐÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong><strong>×</strong>ÓÑÓÖÔØÓÔÖ<strong>×</strong>ÐÝÓÒÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ ÆÓÛÛ<strong>×</strong>ØØØÐ<strong>×</strong><strong>×</strong>ØÓÒØÓÖѸÛØÓÙØÔÖÓÓÐÓÛº ÒÓØG 2 , F 4 , E 6 , E 7ÒE 1º ½ºÌÐ<strong>×</strong><strong>×</strong>ÐÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>A n¸n ≥<br />

so(3, C)Òsp(1, C)Ö<br />

¾ºÌÐ<strong>×</strong><strong>×</strong>ÐÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>B n¸n ≥ 2<br />

ËÒÚÖÝÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑÒÙÒÕÙÐÝÓÑÔÓ<strong>×</strong><strong>×</strong>ÖØ<strong>×</strong>ÙÑÓÖÖÙÐÖÓÓØ<strong>×</strong><br />

¿ºÌÐ<strong>×</strong><strong>×</strong>ÐÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>C n¸n 8º ºÌÐ<strong>×</strong><strong>×</strong>ÐÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>D <strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>º<strong>×</strong>ÖÙÓÖ¸Ð<strong>×</strong><strong>×</strong>ØÓÒÓÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>Ð<strong>×</strong>ØÓØÐ<strong>×</strong><strong>×</strong>ØÓÒÓ<strong>×</strong>ѹ <strong>×</strong>ÝØÑ<strong>×</strong>¸ØÐ<strong>×</strong><strong>×</strong>ØÓÒÓÖÖÙÐÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>Ð<strong>×</strong>ØÓØÐ<strong>×</strong><strong>×</strong>ØÓÒÓÐÐÖÓÓØ<br />

n¸n ºÌÜÔØÓÒÐÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>G 2 , F 4 , E 6 , E<br />

ÌÓÖÑ¿º¿ºÚÖÝÓÑÔÐÜ<strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong><strong>×</strong>ÓÑÓÖÔØÓÔÖ<strong>×</strong>ÐÝÓÒÐÖ <strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong>ÒÐ<strong>×</strong><strong>×</strong>ØÓÒÓØÖÖÙÐÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>Ð<strong>×</strong>ØÓØÐ<strong>×</strong><strong>×</strong>ØÓÒ ÓØ<strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong>ÛÛ<strong>×</strong>ØØÒØÓÖÑÓØÓÖÑÐÓÛº<br />

7ÒE ÖÓÑØÓÐÐÓÛÒÐ<strong>×</strong>Ø <br />

≥ 3<br />

≥ 4

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