The alternative torus and the structure of elliptic quasi-simple Lie algebras of type
Authors:
Stephen Berman, Yun Gao, Yaroslav Krylyuk and Erhard Neher
Journal:
Trans. Amer. Math. Soc. 347 (1995), 4315-4363
MSC:
Primary 17B37; Secondary 17B67
DOI:
https://doi.org/10.1090/S0002-9947-1995-1303115-1
MathSciNet review:
1303115
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Abstract: We present the complete classification of the tame irreducible elliptic quasi-simple Lie algebras of type , and in particular, specialize on the case where the coordinates are not associative. Here the coordinates are Cayley-Dickson algebras over Laurent polynomial rings in
variables, which we call alternative tori. In giving our classification we need to present much information on these alternative tori and the Lie algebras coordinatized by them.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1995-1303115-1
Article copyright:
© Copyright 1995
American Mathematical Society