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Winter Map Inverses

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DOI: 10.4236/apm.2014.47040    2,433 Downloads   3,063 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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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

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.

  
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