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CODES, S-STRUCTURES, AND EXCEPTIONAL LIE ALGEBRAS

  • ISABEL CUNHA (a1) and ALBERTO ELDUQUE (a2)

Abstract

The exceptional simple Lie algebras of types E7 and E8 are endowed with optimal $\mathsf{SL}_2^n$ -structures, and are thus described in terms of the corresponding coordinate algebras. These are nonassociative algebras which much resemble the so-called code algebras.

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CODES, S-STRUCTURES, AND EXCEPTIONAL LIE ALGEBRAS

  • ISABEL CUNHA (a1) and ALBERTO ELDUQUE (a2)

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