Twisted Associative Algebras and Shuffle Algebras

The goal of this chapter is to discuss the algebraic structures that are somewhere in between associative algebras and operads: twisted associative algebras and shuffle algebras. Even though these can in principle be treated in the more general operadic context, this topic is much easier to digest ind...

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Hauptverfasser: Bremner, Murray R., Dotsenko, Vladimir
Format: Buchkapitel
Sprache:eng
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Zusammenfassung:The goal of this chapter is to discuss the algebraic structures that are somewhere in between associative algebras and operads: twisted associative algebras and shuffle algebras. Even though these can in principle be treated in the more general operadic context, this topic is much easier to digest independently, and it serves as a gentle introduction to the philosophy behind shuffle operads that we will discuss later.
DOI:10.1201/b20061-8