APM  Vol.4 No.7 , July 2014
Winter Map Inverses
Abstract: We demonstrate the functional inverse of a Winter map, which is an analog of the exponential map, for Lie algebras over fields of prime characteristic.
Cite this paper: Gregory, T. (2014) Winter Map Inverses. Advances in Pure Mathematics, 4, 303-308. doi: 10.4236/apm.2014.47040.

[1]   Strade, H. and Farnsteiner, R. (1988) Modular Lie Algebras and Their Representations. Pure and Applied Mathematics, 116, Dekker, New York.

[2]   Winter, D.J. (1969) On the Toral Structure of Lie p-Algebras. Acta Mathematica, 123, 70-81.

[3]   Weisfeiler, B.J. and Kac, V.G. (1971) Exponentials in Lie Algebras of Characteristic p. Mathematics of the USSR-Izvestiya, 5, 777-803.

[4]   Gregory, T.B. (1990) A Characterization of the General Lie Algebras of Cartan Type. In: Benkart and Osborne, Eds., Lie Algebras and Related Topics, 22 May-1 June 1988, American Mathematical Society, Madison, 75-78.