Timeline for What is known on finite dimensional nilpotent Lie algebras with maximal index ?
Current License: CC BY-SA 2.5
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| Mar 30, 2013 at 17:14 | answer | added | Dietrich Burde | timeline score: 3 | |
| Jul 23, 2012 at 15:45 | comment | added | dan232 | There is an article you can find in <kirj.ee/public/proceedings_pdf/2010/issue_4/…>. In proposition 4 of this article, there is a formula you might find interesting. It relates the index of a Lie algebra with the rank of a matrix. There are some examples computed. | |
| Mar 14, 2011 at 15:20 | history | edited | mathphysicist | CC BY-SA 2.5 |
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| Mar 14, 2011 at 13:46 | comment | added | José Figueroa-O'Farrill | Just adding some words to the definition: the index of Lie algebra is the codimension of the generic coadjoint orbit. For semisimple Lie algebras the index agrees with the rank. So among the semisimple Lie algebras, only those of type $A_1$ have maximal index. | |
| Mar 14, 2011 at 13:43 | history | edited | José Figueroa-O'Farrill | CC BY-SA 2.5 |
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| Mar 14, 2011 at 13:18 | history | edited | CLomp | CC BY-SA 2.5 |
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| Mar 14, 2011 at 13:11 | history | edited | CLomp | CC BY-SA 2.5 |
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| Mar 14, 2011 at 12:40 | history | asked | CLomp | CC BY-SA 2.5 |