Asymptotic cone of semisimple orbits for symmetric pairs
In: Adv. Math. 226 (2011), no. 5, 4338--4351; (2010)
Online
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Let G be a reductive algebraic group over the complex field and O_h be a closed adjoint orbit through a semisimple element h. By a result of Borho and Kraft (1979), it is known that the asymptotic cone of the orbit O_h is the closure of a Richardson nilpotent orbit corresponding to a parabolic subgroup whose Levi component is the centralizer Z_G(h) in G. In this paper, we prove an analogue on a semisimple orbit for a symmetric pair (G, K).
Comment: 14 pages
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Asymptotic cone of semisimple orbits for symmetric pairs
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Autor/in / Beteiligte Person: | Nishiyama, Kyo |
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Quelle: | Adv. Math. 226 (2011), no. 5, 4338--4351; (2010) |
Veröffentlichung: | 2010 |
Medientyp: | report |
DOI: | 10.1016/j.aim.2010.12.004 |
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