References

A NOTE ON LEVI-MALCEV THEOREM FOR HOMOGENEOUS BOL ALGEBRAS


[1] Thomas B. Bouetou, On the structure of Bol algebras, Arxiv: Maths.

[2] E. Cartan, Sur la structure des groupes de transformations finis et continus, These (1894).

[3] V. T. Filippov, Homogeneous Bol algebras (Russian), Sibirsk Math. Zh. 35(4) (1994), 919-926, v; translation in Siberian Math. J. 35(4) (1994), 818-825.

[4] A. N. Grishkov, Analogue of Levi’s theorem for Mal’tsev algebras, Algebra i Logika 16(4) (1977), 389-396.

[5] N. C. Hopkins, Nilpotent ideals in Lie and anti-Lie triple systems, Journal of Algebra 178 (1995), 480-492.

[6] V. G. Kac, Lie superalgebras, Adv. in Math 26 (1977), 8-96.

[7] N. Kamiya, The nilradical for Lie and anti-Lie triple systems, Journal of Algebra 158 (1993), 226-232.

[8] M. Kikkawa, On Killing-Ricci forms of Lie triple algebras, Pacific J. Math. 96(1) (1981), 153-161.

[9] E. N. Kuz’min, Dnester Notebook, Novosibirsk, 1976.

[10] E. N. Kuz’min, Levi’s theorem for Mal’tsev algebras, Algebra i Logika 16(4) (1977), 424-431.

[11] E. N. Kuz’min and Zaidi, Solvable and semisimple Bol algebras, Algebra and Logic 32(6) (1993), 361-371.

[12] W. G. Lister, A structure theory of Lie triple systems, Trans. Amer. Math. Soc. 72 (1952), 217-242.

[13] A. I. Malcev, Analytical loops, Matem. Sb. 36 (1995), 569-576 (in Russian).

[14] P. O. Mikhev, On G-Property for Analytic Bol Loops, Webs and Quasi-groups, Kalinin, (1986), 54-59.

[15] K. Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math. 76 (1954), 33-65.

[16] J. M. Perez-Izqquierdo and Ivan P’Shestakov, An envelope for Malcev algebras, J. Algebra 272 (2004), 379-393.

[17] L. V. Sabinin and P. O. Mikhev, On the infinitesimal theory of local analytic loops, Soviet Math. Dokl. 36 (1988).

[18] L. V. Sabinin and P. O. Mikhev, Quasigroups and differential geometry, Quasigroups and Loops Theory and Applications, Berlin: Helderman Verlas, (1990), 357-430.

[19] L. V. Sabinin, Smooth Quasigroups and Loops, Mathematics and its Applications, 492, Kluwer Academic Publishers, Dordrecht, 1999, 249p.

[20] A. A. Sagle, Malcev algebras, Transactions of the American Mathematical Society 101 (1961), 426-445.