Exotic Cluster Structures on SL_{n}

Type Book

Rate 0.0 /5

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}…

Details

Files

Reviews

Download

Title Statements

Full title :Exotic Cluster Structures on SL_{n}

Summary

Edition Statements

Publication Date:2017.

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence
Language:eng
Publication Date:2017.

The Physical Object

Description:1 online resource (106 pages)

Edition Identifiers

ISBN:9781470436391, 1470436396
oclc:ocn994719176
LC Classification:QA251.3
Dewey Decimal:512.44

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.

Subjects

Algèbres amassées Algèbres de Lie Algèbres de Poisson Cluster algebras Groupes quantiques Lie algebras Poisson algebras Quantum groups Représentations des algèbres de Lie Representations of Lie algebras