Work

Drinfeld double of GLn and generalized cluster structures

Year: 2017

Type: article

Abstract: We construct a generalized cluster structure compatible with the Poisson bracket on the Drinfeld double of the standard Poisson–Lie group G L n and derive from it a generalized cluster structure on G L n compatible with the push-forward of the Poisson bracket on the dual Poisson–Lie group.

Source: Proceedings of the London Mathematical Society

DOI: 10.1112/plms.12086

Authors: Misha Gekhtman, Michael Shapiro, Alek Vainshtein

Institutions: University of Notre Dame, Michigan State University, University of Haifa

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Israel Science Foundation

Awards: COLLABORATIVE RESEARCH: CLUSTER STRUCTURES ON POISSON-LIE GROUPS AND COMPLETE INTEGRABILITY, G559952589, COLLABORATIVE RESEARCH: CLUSTER STRUCTURES ON POISSON-LIE GROUPS AND COMPLETE INTEGRABILITY