We classify the homogeneous nilpotent orbits in certain Lie color algebras and specialize the results to the setting of a real reductive dual pair. For any member of a dual pair, we prove the bijectivity of the two Kostant-Sekiguchi maps by straightforward argument. For a dual pair we determine the
✦ LIBER ✦
Dual Pairs and Kostant–Sekiguchi Correspondence, I
✍ Scribed by Andrzej Daszkiewicz; Witold Kraśkiewicz; Tomasz Przebinda
- Book ID
- 102575838
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 155 KB
- Volume
- 250
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Dual pairs and Kostant-Sekiguchi corresp
✍
Andrzej Daszkiewicz; Witold Kraśkiewicz; Tomasz Przebinda
📂
Article
📅
2005
🏛
SP Versita
🌐
English
⚖ 474 KB
Complexity of nilpotent orbits and the K
✍
Donald R. King
📂
Article
📅
2005
🏛
Springer
🌐
English
⚖ 191 KB
Howe correspondence and Springer corresp
✍
A.-M. Aubert, W. Kraśkiewicz, T. Przebinda
📂
Article
📅
2013
🏛
Springer
🌐
English
⚖ 578 KB
Nilpotent Pairs, Dual Pairs, and Sheets
✍
Dmitri I Panyushev
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 245 KB
Dual scaling and correspondence analysis
✍
Anna Torres; Michael Greenacre
📂
Article
📅
2002
🏛
Elsevier Science
🌐
English
⚖ 93 KB
Dual Pairs inPin(p, q) and Howe Cor
✍
M.J Slupinski
📂
Article
📅
1998
🏛
Elsevier Science
🌐
English
⚖ 329 KB
In this paper we obtain examples of dual pairs in the group Pin V m W by Ž . Ž . considering the inverse images of the subgroups O V m Id and Id m O W W V Ž . Ž . under the double covering map : Pin V m W ª O V m W . The main technical results are the definition of the group of determinant graded do