Monday, August 21, 2017 - 11:15am - 12:00pm
Ashish Srivastava (Saint Louis University)
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 superalgebras SpO(21) and SpO(22) admit cluster superalgebra structures 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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