References
Borel, A.: Linear algebraic groups. New York: W.A. Benjamin 1969
Borel, A., Tits, J.: Groupes reductifs. Publ. Math. I.H.E.S.27, 55–150 (1965)
Dani, S.G.: On ergodic quasi-invariant measures of group automorphisms. Isr. J. Math.43, 62–74 (1982)
Dani, S.G.: Dense orbits of affine automorphisms and compactnes of groups. J. Lond. Math. Soc. (2)25, 241–245 (1981)
Dani, S.G., McCrudden, M.: Parabolic subgroups and factor compactness of measures on semisimple Lie groups, Probability Measures on Groups, Proceed. Oberwolfach 1985 (ed.: H. Heyer) Lecture Notes in Math. 1210. Berlin Heidelberg New York: Springer 1986
Heyer, H.: Probability measures on locally compact groups. Berlin Heidelberg New York: Springer 1977
Hochschild, G.: The structure of Lie groups. San-Francisco London Amsterdam: Holden-Day 1965
Hochschild, G.P.: Basic theory of algebraic groups and Lie algebras. Berlin Heidelberg New York: Springer 1981
McCrudden, M.: Factors and roots of large measures on connected Lie groups. Math. Z.177, 315–322 (1981)
McCrudden, M.: Local tightness of convolution semigroups over locally compact groups, Probability Measures on Groups, Proceed. Oberwolfach 1981 (ed.: H. Heyer) Lect. Notes in Math. 928. Berlin Heidelberg New York: Springer 1982
Parthasarathy, K.R.: Probability measures on metric spaces. New York-London: Academic Press 1967
Parthasarathy, K.R.: Infinitely divisible distributions inSL(K, ℂ) andSL(K, ℝ) may be imbedded in diadic convolution semigroups, Probability Measures on Groups, Proceed. Oberwolfach 1978 (ed.: H. Heyer) Lect. Notes in Math. 706. Berlin Heidelberg New York: Springer 1979
Prasad, G.: Lattices in semisimple groups over local fields, Studies in Algebra and Number Theory (ed.: G. C. Rota). New York-San Francisco-London: Academic Press 1979
Varadarajan, V.S.: Lie groups, Lie algebras and their representations. Englewood Cliffs: Prentice Hall 1974
Wigner, D.: On the automorphism group of a Lie group. Proc. Am. Math. Soc.45, 140–143 (1974)
Wigner, D.: Erratum to “On the automorphism group of a Lie group”. Proc. Am. Math. Soc.60, 376 (1976)
Yuan, J.: Embedding of an infinitely divisible probability measure over a connected solvable Lie group. Math. Z.46, 167–172 (1976)
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Dani, S.G., McCrudden, M. Factors, roots and embeddability of measures on lie groups. Math Z 199, 369–385 (1988). https://doi.org/10.1007/BF01159785
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DOI: https://doi.org/10.1007/BF01159785