Timeline for unipotent class in classical lie algebra bala-carter
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 26, 2017 at 21:04 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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| S Mar 26, 2017 at 15:58 | comment | added | A. Khardani | $\mathfrak{b}_3=so_7(\mathbb{C})=\star H_1 \oplus \star H_2 \oplus \star H_3 \oplus \star G_{12}^{+} \oplus\star G_{13}^{+} \oplus\star G_{23}^{+} \oplus \star G_{21}^{+} \oplus\star G_{31}^{+} \oplus\star G_{32}^{+} \oplus \star G_{12}^{-} \oplus\star G_{13}^{-} \oplus\star G_{23}^{-} \oplus \star G_{21}^{-} \oplus \star G_{31}^{-} \oplus\star G_{32}^{-}\oplus \star D_{1}^{+}\oplus \star D_{2}^{+}\oplus \star D_{3}^{+}\oplus \star D_{1}^{-}\oplus \star D_{2}^{-}\oplus \star D_{3}^{-} $ Which nilpotent element $e$ here represent 1--0--1 for example? i need to understand all this. | |
| S Mar 26, 2017 at 15:58 | comment | added | A. Khardani | Thank you Jim, I'm who asked question. Using the Bala-Carter theorem we can associate to this unipotent class a Levi subgroup of $G$ and a distinguished parabolic subgroup of the Levi subgroup in (P. Bala and R.W. Carter. Classes of unipotent elements 1 and 2) the WDD 1--0--1 is the $A_2\oplus B_3$ class ( here we have pair of partition calss (2,3 )). we use the notation of Nathan Jacobson in Lie Algebras book, we have (cont.) | |
| Mar 26, 2017 at 0:05 | history | answered | Jim Humphreys | CC BY-SA 3.0 |