"Bruhat decomposition"의 두 판 사이의 차이

2011년 2월 25일 (금) 05:35 판

double Bruhat cells

Bruhat order

Weyl group action

The decomposition of G into strata G^{u,v} is 'good with respect to total positivity.

SL_{3}(\mathbb{C})

u=v=w_0

u= s_2s_3s_1s_2s_1, \(\bar{i}\)

v= s_1s_3s_2s_1, \(i\)

Take a shuffle \(\bar{2} 1 \bar{3}32\bar{1}\bar{2}1\bar{1}\).

Choose a sign for a minor.

@@ 9번째 줄: / 9번째 줄: @@
-The decomposition of G in to strata G^{u,v} is 'good with respect to total positivity.
+The decomposition of G into strata G^{u,v} is 'good with respect to total positivity.
@@ 16번째 줄: / 16번째 줄: @@
 SL_{3}(\mathbb{C})
+u=v=w_0
+u= s_2s_3s_1s_2s_1, <math>\bar{i}</math>
+v= s_1s_3s_2s_1, <math>i</math>
+Take a shuffle <math>\bar{2} 1 \bar{3}32\bar{1}\bar{2}1\bar{1}</math>.
+Choose a sign for a minor.