论文标题

量子循环组的任意颤动

Quantum loop groups for arbitrary quivers

论文作者

Neguţ, Andrei

论文摘要

我们研究量子循环基团的双重构建体和Feigin-odesskii类型的代数代数,为此,箭头参数是任何磁场的任意非零元素。我们的设置的示例包括$ k $ - 码头的理论厅代数,具有0个潜在的Quiver tymy类型的量子循环组和Quiver Quantum toroidal代数。

We study the dual constructions of quantum loop groups and Feigin-Odesskii type shuffle algebras for an arbitrary quiver, for which the arrow parameters are arbitrary non-zero elements of any field. Examples of our setup include $K$-theoretic Hall algebras of quivers with 0 potential, quantum loop groups of Kac-Moody type and quiver quantum toroidal algebras.

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