A finiteness theorem for parabolic subgroups of fixed modality

Indagationes Mathematicae

Volumn 8, Issue 1, 1997, Pages 125-132

  Popov, Vladimir L ^a  

^a Moscow State Bauman Technical Univ   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031584989     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(97)83356-3     Document Type: Article

References (9)

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3. [Ca] Carter, R.W. - Finite Groups of Lie Type. Wiley-Interscience Publication (1985).
4. [Ka] Kashin, V.V. - Orbits of adjoint and coadjoint actions of Borel subgroups of semisimple algebraic groups. (In Russian). Questions of Group Theory and Homological Algebra, Yaroslavl', 141-159 (1990).
5. [PR] Popov, V.L. and G. Röhrle - On the number of orbits of a parabolic subgroup on its unipotent radical. The University of Sydney, Preprint 24 (1994). To appear in the Volume of Australian Math. Soc. dedicated to the memory of Roger Richardson.
6. [PV] Popov, V.L. and E.B. Vinberg - Invariant Theory. In: Encyclopaedia of Math. Sci.: Algebraic Geometry IV. Springer Verlag 55, 123-284 (1994).
7. [Ri] Richardson, R.W. - Conjugacy classes in parabolic subgroups of semisimple algebraic groups. Bull. London Math. Soc. 6, 21-24 (1974).
8. [Rö] Röhrle, G. - Parabolic subgroups of positive modality. The University of Sydney, preprint 26 (1994). To appear in Geometriae Dedicata.
9. [Vi] Vinberg, E.B. - Complexity of actions of reductive groups. Functional Anal. and Appl. 20, 1-11 (1986).