A. Tsymbaliuk

activity

20092026

gl_{1}

revisited

135 citations · 516 across the 43 of their papers we have counts for

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Showing 2018 · math.RTShow all

3 papers · 2 filters

math.RT2018★ 26 cited

Shifted quantum affine algebras: integral forms in type $A$ (with appendices by Alexander Tsymbaliuk and Alex Weekes)

Michael Finkelberg, Alexander Tsymbaliuk

We define an integral form of shifted quantum affine algebras of type $A$ and construct Poincaré-Birkhoff-Witt-Drinfeld bases for them. When the shift is trivial, our integral form…

math.RT2018★ 7 cited

PBWD bases and shuffle algebra realizations for $U_{v} (L sl_{n}), U_{v_{1}, v_{2}} (L sl_{n}), U_{v} (L sl (m ∣ n))$ and their integral forms

Alexander Tsymbaliuk

We construct a family of PBWD (Poincaré-Birkhoff-Witt-Drinfeld) bases for the quantum loop algebras $U_{v} (L sl_{n}), U_{v_{1}, v_{2}} (L sl_{n}), U_{v} (L sl (m ∣ n))$ …

math.RT2018★ 2 cited

On Sevostyanov's construction of quantum difference Toda lattices

Roman Gonin, Alexander Tsymbaliuk

We propose a natural generalization of the construction of the quantum difference Toda lattice (introduced independently by Etingof and Sevostyanov) associated to a simple Lie alge…

Shifted quantum affine algebras: integral forms in type A (with appendices by Alexander Tsymbaliuk and Alex Weekes)

PBWD bases and shuffle algebra realizations for Uv​(Lsln​),Uv1​,v2​​(Lsln​),Uv​(Lsl(m∣n)) and their integral forms

On Sevostyanov's construction of quantum difference Toda lattices

Shifted quantum affine algebras: integral forms in type $A$ (with appendices by Alexander Tsymbaliuk and Alex Weekes)

PBWD bases and shuffle algebra realizations for $U_{v} (L sl_{n}), U_{v_{1}, v_{2}} (L sl_{n}), U_{v} (L sl (m ∣ n))$ and their integral forms