Quantum cluster algebras: Oberwolfach talk, February 2005
Andrei Zelevinsky
TL;DR
This paper provides simplified, self-contained definitions of quantum cluster algebras, highlighting their foundational aspects and recent developments discussed at the Oberwolfach workshop.
Contribution
It offers a clear, accessible presentation of quantum cluster algebras, expanding on joint work with Berenstein and clarifying their core concepts.
Findings
Simplified definitions of quantum cluster algebras
Connections to representation theory of finite-dimensional algebras
Foundational framework for further research
Abstract
This is an extended abstract of my talk at the Oberwolfach-Workshop "Representation Theory of Finite-Dimensional Algebras" (February 6 - 12, 2005). It gives self-contained and simplified definitions of quantum cluster algebras introduced and studied in a joint work with A.Berenstein (math.QA/0404446).
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons