Autor:	Alexander Odesskii
Rok vydání:	2002
Předmět:	High Energy Physics::Theory Pure mathematics Nonlinear Sciences::Exactly Solvable and Integrable Systems Functional analysis Root of unity Mathematics::Quantum Algebra Applied Mathematics Exchange algebra Structure (category theory) Homomorphism Analysis Mathematics
Zdroj:	Functional Analysis and Its Applications. 36:49-61
ISSN:	0016-2663
DOI:	10.1023/a:1014430217638
Popis:	We study Zamolodchikov algebras whose commutation relations are described by Belavin matrices defining a solution of the Yang–Baxter equation (Belavin \(R\)-matrices). Homomorphisms of Zamolodchikov algebras into dynamical algebras with exchange relations and also of algebras with exchange relations into Zamolodchikov algebras are constructed. It turns out that the structure of these algebras with exchange relations depends substantially on the primitive \(n\)th root of unity entering the definition of Belavin \(R\)-matrices.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dc715a3203fcdb04f39fe27a1c6b8abd https://doi.org/10.1023/a:1014430217638 Zobrazit plný text záznamu Full text from SpringerLink