Complementing the results of (Lotta and Nacinovich, Adv. Math. 191(1): 114-146, 2005), we show that the minimal orbit M of a real form G of a semisimple complex Lie group G(C) in a flag manifold M = G(C)/Q is CR-symmetric (see (Kaup and Zaitsev Adv. Math. 149(2):145-181, 2000)) if and only if the corresponding CR algebra (g, q) admits a Z(2) gradation compatible with the CR structure.
Lotta, A., Nacinovich, M. (2008). CR-admissible Z(2)-gradations and CR-symmetries. ANNALI DI MATEMATICA PURA ED APPLICATA, 187(2), 221-236 [10.1007/s10231-007-0042-5].
CR-admissible Z(2)-gradations and CR-symmetries
NACINOVICH, MAURO
2008-01-01
Abstract
Complementing the results of (Lotta and Nacinovich, Adv. Math. 191(1): 114-146, 2005), we show that the minimal orbit M of a real form G of a semisimple complex Lie group G(C) in a flag manifold M = G(C)/Q is CR-symmetric (see (Kaup and Zaitsev Adv. Math. 149(2):145-181, 2000)) if and only if the corresponding CR algebra (g, q) admits a Z(2) gradation compatible with the CR structure.File in questo prodotto:
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