Elements of finite order (EFO) in Lie groups - 편집 역사

2020년 11월 14일 (토) 09:03에 Pythagoras0님의 편집

2020-11-14T09:03:34Z

2020-11-14T00:34:46Z

2013-09-07T11:06:49Z

2013-03-09T15:13:46Z

2013-02-11T21:52:38Z

EFO in unitary groups

2013-02-11T21:47:46Z

introduction

2013-02-11T21:27:05Z

$SU(n)$

2013-02-11T20:51:51Z

2012-11-27T17:20:06Z

2012-11-09T21:38:34Z

@@ 1번째 줄: / 1번째 줄: @@
 ==introduction==
 * explicit formulas for the number of conjugacy classes of EFOs in Lie groups
-* appears for the number of certain vacua in the quantum moduli space of M-theory compactifications on manifolds of $G_2$ holonomy
+* appears for the number of certain vacua in the quantum moduli space of M-theory compactifications on manifolds of <math>G_2</math> holonomy
-* $N(G,m)$ : number of conjugacy classes of $G$ in $E(G,m)$
+* <math>N(G,m)</math> : number of conjugacy classes of <math>G</math> in <math>E(G,m)</math>
-* $N(G,m,s)$ : number of conjugacy classes of $G$ in $E(G,m,s)$
+* <math>N(G,m,s)</math> : number of conjugacy classes of <math>G</math> in <math>E(G,m,s)</math>
 ==EFO in unitary groups==
-===$U(n)$===
+===<math>U(n)</math>===
-* $N(G,m)= {n+m-1\choose m-1}$
+* <math>N(G,m)= {n+m-1\choose m-1}</math>
-* $N(G,m,s)=\frac{s}{n}{n\choose s}{m\choose s}$
+* <math>N(G,m,s)=\frac{s}{n}{n\choose s}{m\choose s}</math>
-===$SU(n)$===
+===<math>SU(n)</math>===
-* $N(G,m)= \frac{1}{m}{n+m-1\choose m-1}$ if $(n,m)=1$
+* <math>N(G,m)= \frac{1}{m}{n+m-1\choose m-1}</math> if <math>(n,m)=1</math>
-* $N(G,m,s)= \frac{s}{nm}{n\choose s}{m\choose s}$ if $(n,m)=1$
+* <math>N(G,m,s)= \frac{s}{nm}{n\choose s}{m\choose s}</math> if <math>(n,m)=1</math>

← 이전 판		2013년 9월 7일 (토) 11:06 판
22번째 줄:		22번째 줄:
	==computational resource==		==computational resource==
	* https://docs.google.com/file/d/0B8XXo8Tve1cxLU5vUzJRQUNGdnc/edit		* https://docs.google.com/file/d/0B8XXo8Tve1cxLU5vUzJRQUNGdnc/edit
		+	===OEIS===
		+	* type A http://oeis.org/A008610
		+	* type C http://oeis.org/A005993

@@ 13번째 줄: / 13번째 줄: @@
 * $N(G,m)= \frac{1}{m}{n+m-1\choose m-1}$ if $(n,m)=1$
 * $N(G,m,s)= \frac{s}{nm}{n\choose s}{m\choose s}$ if $(n,m)=1$
 ==related items==
@@ 22번째 줄: / 23번째 줄: @@
 * https://docs.google.com/file/d/0B8XXo8Tve1cxLU5vUzJRQUNGdnc/edit
 [[분류:Q-system]]

@@ 8번째 줄: / 8번째 줄: @@
 ===$U(n)$===
 * $N(G,m)= {n+m-1\choose m-1}$
 ===$SU(n)$===
 * $N(G,m)= \frac{1}{m}{n+m-1\choose m-1}$ if $(n,m)=1$
 ==related items==

← 이전 판		2012년 11월 27일 (화) 17:20 판
6번째 줄:		6번째 줄:
	==computational resource==		==computational resource==
	* https://docs.google.com/file/d/0B8XXo8Tve1cxLU5vUzJRQUNGdnc/edit		* https://docs.google.com/file/d/0B8XXo8Tve1cxLU5vUzJRQUNGdnc/edit
		+
		+
		+	[[분류:Q-system]]

← 이전 판		2012년 11월 9일 (금) 21:38 판
1번째 줄:		1번째 줄:
		+	==related items==
		+	* [[simple Lie groups and the Legendre symbol]]
		+
		+
		+
	==computational resource==		==computational resource==
	* https://docs.google.com/file/d/0B8XXo8Tve1cxLU5vUzJRQUNGdnc/edit		* https://docs.google.com/file/d/0B8XXo8Tve1cxLU5vUzJRQUNGdnc/edit