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hank612

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

https://en.wikipedia.org/wiki/Pfaffian

Óɶ¨Òå¿ÉÖªÐÁ¾ØÕóµÄÐÐÁÐʽµÈÓÚ  £»½øÒ»²½£¬¿ÉÒÔÀûÓÃPfaffianµÄ¹«Ê½£º
  
ÓÉì¶ ¶ø , µÃµ½Â¥Ö÷ÏëÒªµÄ   det(M)=1.

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We_must_know. We_will_know.
2Â¥2016-07-27 06:46:38
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ÒýÓûØÌû:
2Â¥: Originally posted by hank612 at 2016-07-27 06:46:38
https://en.wikipedia.org/wiki/Pfaffian

Óɶ¨Òå¿ÉÖªÐÁ¾ØÕóµÄÐÐÁÐʽµÈÓÚ    \pm 1£»½øÒ»²½£¬¿ÉÒÔÀûÓÃPfaffianµÄ¹«Ê½£º
\mbox{Pf}(M^T  \Omega M) = \det (M) \mbox{Pf}(\Omega )   
ÓÉì¶M^T   \Omega M = \Ome ...

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3Â¥2016-08-09 11:27:18
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FMStation

ÖÁ×ðľ³æ (ÖªÃû×÷¼Ò)

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1. ¶ÔÓÚÐÁȺ Sp(n;\mathbb{R}) ÖеÄÈκÎÔªËØ A, ¶¼ÓÐ \det A=1. ¶ÔÓÚ Sp(n;\mathbb{C}) Ò²ÕýÈ·.
2. Sp(n;\mathbb{R}) ºÍ Sp(n;\mathbb{C}) ¶¼ÊǾØÕóÀîȺ(Matrix Lie Group).

Ö¤Ã÷ÐÁ¾ØÕóÐÐÁÐʽΪ 1
http://atzjg.net/admin/do/view_question.php?qid=1273
4Â¥2016-08-09 16:39:40
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ÒýÓûØÌû:
4Â¥: Originally posted by FMStation at 2016-08-09 16:39:40
1. ¶ÔÓÚÐÁȺ Sp(n;\mathbb{R}) ÖеÄÈκÎÔªËØ A, ¶¼ÓÐ \det A=1. ¶ÔÓÚ Sp(n;\mathbb{C}) Ò²ÕýÈ·.
2. Sp(n;\mathbb{R}) ºÍ Sp(n;\mathbb{C}) ¶¼ÊǾØÕóÀîȺ(Matrix Lie Group).

Ö¤Ã÷ÐÁ¾ØÕóÐÐÁÐʽΪ 1
http://atzj ...

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