Exotic Cluster Structures on $SL_n$: The Cremmer-Gervais Case
Heftet /
2017
/ Engelsk
Produktdetaljer
ISBN
9781470422585
Publisert
2017-03-30
Utgiver
Vendor
American Mathematical Society
Vekt
201 gr
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
94
Biographical note
M. Gekhtman, University of Notre Dame, IN.M. Shapiro, Michigan State University, East Lansing, MI.
A. Vainshtein, University of Haifa, Israel.
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
Les mer
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.
Les mer
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 Bibliography
Les mer
Produktdetaljer
ISBN
9781470422585
Publisert
2017-03-30
Utgiver
Vendor
American Mathematical Society
Vekt
201 gr
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
94
Biographical note
M. Gekhtman, University of Notre Dame, IN.M. Shapiro, Michigan State University, East Lansing, MI.
A. Vainshtein, University of Haifa, Israel.