Winter Map Inverses

DOI: 10.4236/apm.2014.47040   PDF   HTML     2,491 Downloads   3,146 Views  

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.

Share and Cite:

Gregory, T. (2014) Winter Map Inverses. Advances in Pure Mathematics, 4, 303-308. doi: 10.4236/apm.2014.47040.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[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.

  
comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.