Abstract
A groupG isacceptable if a homomorphism ϕ from a finite group Γ toG is determined up to conjugation by the conjugacy classes of the elements ϕ(γ). Some progress is made toward classifying acceptable Lie groups.
Similar content being viewed by others
References
D. Blasius,On multiplicities for SL(n), Israel Journal of Mathematics, this issue, pp. 237–251.
A. Borel and J. Tits,Groupes réductifs, Publications Mathématiques de l'IHES27 (1965), 55–150.
N. Bourbaki,Groupes et algèbres de Lie, Masson, Paris, 1981.
H. Cartan and S. Eilenberg,Homological Algebra, Princeton Math Series19, Princeton, 1956.
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson,Atlas of Finite Groups, Clarendon Press, Oxford, 1985.
P. Deligne,La Conjecture de Weil, II, Publications Mathématiques de l'IHES52 (1980), 138–252.
P. Deligne,Cohomologie étale: les points de départ, inCohomologie Étale, Lecture Notes in Math. 569, Springer-Verlag, Berlin, 1977.
E. B. Dynkin,Semisimple subalgebras of semisimple Lie algebras, American Mathematical Society Translations Ser. 26 (1957), 111–244.
T. Sunada,Riemannian coverings and isospectral manifolds, Annals of Mathematics121 (1985), 169–186.
Author information
Authors and Affiliations
Additional information
Supported by N.S.F. Grant No. DMS-8807203 and N.S.A. Grant No. MDA 904-92-H-3026.
Rights and permissions
About this article
Cite this article
Larsen, M. On the conjugacy of element-conjugate homomorphisms. Israel J. Math. 88, 253–277 (1994). https://doi.org/10.1007/BF02937514
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02937514