S. Arthamonov

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20232026

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math.QA2023

Classical Limit of genus two DAHA

S. Arthamonov

We show that one-parameter deformation $A_{q, t}$ of the skein algebra $S k_{q} (Σ_{2})$ of a genus two surface suggested in [AS19] is flat. We solve the word problem in the alge…

math.QA2023

An Elliptic Generalization of $A_{1}$ Spherical DAHA at $K = 2$

S. Arthamonov, Sh. Shakirov

We construct an algebra that is an elliptic generalization of $A_{1}$ spherical DAHA acting on its finite-dimensional module at $t = - q^{- K /2}$ with $K = 2$ . We prove that $PSL(2,\mathbb…

Classical Limit of genus two DAHA

An Elliptic Generalization of A1​ Spherical DAHA at K=2

An Elliptic Generalization of $A_{1}$ Spherical DAHA at $K = 2$