Education
Web
Viewing 1-1 of 1 total results
Riemannian Geometry (PDF)
→ p · q̄ and a real valued norm given by |p|2 = p · p̄. Then the 3-dimensional unit sphere S3 in H ∼= R4 with the restricted multiplication forms a compact Lie subgroup (S3, ·) of (H∗, ·). They are both non-abelian. We shall now int...
1
0
→ p · q̄ and a real valued norm given by |p|2 = p · p̄. Then the 3-dimensional unit sphere S3 in H ∼= R4 with the restricted multiplication forms a compact Lie subgroup (S3, ·) of (H∗, ·). They are both non-abelian. We shall now introduce some of the classical real and complex matrix Lie groups. As a reference on this topic we recommend the wonderful book: A. W. Knapp, Lie Groups Beyond an Introduction, Birkhäuser (2002). Example 2.31. Let Nil3 be the subset of R3×3 given by Nil3 = { 1 x z0 1 y 0 0 1
19
0
http://www.matematik.lu.se/matematiklu/personal/sigma/Riemann.pdf#page=19
www.matematik.lu.se/matematiklu/personal/sigma/Riemann.pdf#page=19
→ p · q̄ and a real valued norm given by |p|2 = p · p̄. Then the 3-dimensional unit sphere <span class="highlight">S3</span> in H ∼= R4 with the restricted multiplication forms a compact Lie subgroup (<span class="highlight">S3</span>, ·) of (H∗, ·). They are both non-abelian. We shall now introduce some of the classical real and complex matrix Lie groups. As a reference on this topic we recommend the wonderful book: A. W. Knapp, Lie Groups Beyond an Introduction, Birkhäuser (2002). Example 2.31. Let Nil3 be the subset of R3×3 given by Nil3 = { 1 x z0 1 y 0 0 1
|
iSEEK provides users with a Favorites library that allows them easy access to their most-used websites from any computer. If you have an iSEEK account, the content you just selected can be added to your Favorites page to be revisited any time you want.
If you would like to join the iSEEK community, click the "Register" button below to create your free iSEEK account. The resource you have selected will be added to your new Favorites library after you sign in for the first time.
If you already have an iSEEK account, click the button below to sign in and add the resource to your Favorites library.