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The brace of a classical group. (English) Zbl 1344.14029

In the paper under review a notion of a brace is introduced. The appearance of braces in differential geometry, Lie theory and coding theory is discussed.

MSC:

14L35 Classical groups (algebro-geometric aspects)
16Y99 Generalizations
16T25 Yang-Baxter equations
17A30 Nonassociative algebras satisfying other identities
17B20 Simple, semisimple, reductive (super)algebras
17B45 Lie algebras of linear algebraic groups
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