Quantum cluster algebras and quantum nilpotent algebras

A major direction in the theory of cluster algebras is to construct (quantum) cluster algebra structures on the (quantized) coordinate rings of various families of varieties arising in Lie theory. We prove that all algebras in a very large axiomatically defined class of noncommutative algebras posse...

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Veröffentlicht in:	Proceedings of the National Academy of Sciences - PNAS 2014-07, Vol.111 (27), p.9696-9703
Hauptverfasser:	Goodearla, Kenneth R., Yakimov, Milen T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract algebra Algebra Coordinate systems Integers Lie groups MANY FACETS OF CLUSTER ALGEBRAS SPECIAL FEATURE Mathematical rings Mathematical theorems Physical Sciences Poisson distribution Polynomials Scalars Subalgebras
Online-Zugang:	Volltext
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