On speciality of bernstein jordan algebrasFootnote^*
^*The second and third authors were supported by The Ministry of General and Professional Education of Russia (The Fundamental Mathematical Research Grant). The second author acknowledges also the financial support by the FAPESP, Proc. 98/2162-6.

M. Concepción López-Díaz Department of Matemáticas, Universidad de Oviedo, Oviedo, Spain

Ivan P. Shestakov Sobolev Institute of Mathematics, Novosibirsk, Russia

Sergei R. Sverchkov Novosibirsk State University, Novosibirsk, Russia

Abstract

The problem of speciality for Bernstein Jordan algebras is considered. Two examples of exceptional Bernstein Jordan algebras with special nucleus are constructed. The examples correspond to two different types of exceptional Jordan algebras: the first one is i-exceptional, and the second one is i-special.

^*The second and third authors were supported by The Ministry of General and Professional Education of Russia (The Fundamental Mathematical Research Grant). The second author acknowledges also the financial support by the FAPESP, Proc. 98/2162-6.

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On speciality of bernstein jordan algebrasFootnote^*
^*The second and third authors were supported by The Ministry of General and Professional Education of Russia (The Fundamental Mathematical Research Grant). The second author acknowledges also the financial support by the FAPESP, Proc. 98/2162-6.

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On speciality of bernstein jordan algebrasFootnote**The second and third authors were supported by The Ministry of General and Professional Education of Russia (The Fundamental Mathematical Research Grant). The second author acknowledges also the financial support by the FAPESP, Proc. 98/2162-6.

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On speciality of bernstein jordan algebrasFootnote^*
^*The second and third authors were supported by The Ministry of General and Professional Education of Russia (The Fundamental Mathematical Research Grant). The second author acknowledges also the financial support by the FAPESP, Proc. 98/2162-6.