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An introduction to cluster super algebras 1

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Jimmy Mixco, Saint Louis University

  • Algebra Seminar
When Thu, Sep 07, 2017
from 10:00 AM to 10:50 AM
Where Ritter Hall 204
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In this sequence of talks we discuss various topics in cluster algebras and we propose the notion of cluster superalgebras which is a supersymmetric version of the classical cluster algebras introduced by Fomin and Zelevinsky. We show that the symplectic-orthogonal superalgebra SpO(2|1) admits a cluster superalgebra structure and as a consequence of this, we also deduce that the supercommutative superalgebra generated by all the entries of a superfrieze is a cluster superalgebra. We also discuss some basic properties of cluster superalgebras and observe their similarities and differences with the classical set up. 

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