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

MARC

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100 1 |a Gekhtman, M. 
245 1 0 |a Exotic Cluster Structures on SL_{n} 
260 |a Providence :  |b American Mathematical Society,  |c 2017. 
300 |a 1 online resource (106 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society ;  |v v. 246 
588 0 |a Print version record. 
520 |a 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. 
504 |a Includes bibliographical references (pages 93-94). 
505 0 |a Introduction -- Cluster structures and Poisson-Lie groups -- Main result and the outline of the proof -- Initial cluster -- Initial quiver -- Regularity -- Quiver transformations -- Technical results on cluster algebras. 
546 |a Text in English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Cluster algebras. 
650 0 |a Quantum groups. 
650 0 |a Poisson algebras. 
650 0 |a Representations of Lie algebras. 
650 0 |a Lie algebras. 
650 6 |a Algèbres amassées. 
650 6 |a Groupes quantiques. 
650 6 |a Algèbres de Poisson. 
650 6 |a Représentations des algèbres de Lie. 
650 6 |a Algèbres de Lie. 
650 7 |a Cluster algebras  |2 fast 
650 7 |a Lie algebras  |2 fast 
650 7 |a Poisson algebras  |2 fast 
650 7 |a Quantum groups  |2 fast 
650 7 |a Representations of Lie algebras  |2 fast 
700 1 |a Shapiro, M. 
700 1 |a Vainshtein, A. 
758 |i has work:  |a Exotic cluster structures on SLn (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFTVbbyTQpYwJw746CwYKd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Gekhtman, M.  |t Exotic Cluster Structures on SL_{n}: The Cremmer-Gervais Case.  |d Providence : American Mathematical Society, ©2017  |z 9781470422585 
830 0 |a Memoirs of the American Mathematical Society. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4908281  |z Texto completo 
938 |a EBL - Ebook Library  |b EBLB  |n EBL4908281 
938 |a YBP Library Services  |b YANK  |n 14683153 
994 |a 92  |b IZTAP 

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