Exotic Cluster Structures on SL_{n}

This is the second paper in the series of papers dedicated to the study of natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structures compatible with these cluster structures. According to our main conjecture, each class in the Belavin-Drinfe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gekhtman, M.
Otros Autores: Shapiro, M., Vainshtein, A.
Formato: Documento de Gobierno Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2017.
Colección:Memoirs of the American Mathematical Society.
Temas:
Cluster algebras.
Quantum groups.
Poisson algebras.
Representations of Lie algebras.
Lie algebras.
Algèbres amassées.
Groupes quantiques.
Algèbres de Poisson.
Représentations des algèbres de Lie.
Algèbres de Lie.
Cluster algebras
Lie algebras
Poisson algebras
Quantum groups
Representations of Lie algebras
Acceso en línea:Texto completo
Descripción
Sumario:This is the second paper in the series of papers dedicated to the study of natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structures compatible with these cluster structures. According to our main conjecture, each class in the Belavin-Drinfeld classification of Poisson-Lie structures on \mathcal{G} corresponds to a cluster structure in \mathcal{O}(\mathcal{G}). The authors have shown before that this conjecture holds for any \mathcal{G} in the case of the standard Poisson-Lie structure and for all Belavin-Drinfeld classes in SL_n, n<5.
Descripción Física:1 online resource (106 pages)
Bibliografía:Includes bibliographical references (pages 93-94).
ISBN:9781470436391
1470436396

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