ScalingStacks

Its differential nil Hecke algebra $H_{n}$ is the $k$-algebra generated by $T_{1},\ldots,T_{n-1}$ with relations

(3.2.1)

$$T_{i}^{2}=0,\ T_{i}T_{j}=T_{j}T_{i}\text{ if }|i-j|>1\text{ and }T_{i}T_{i+1}T_{i}=T_{i+1}T_{i}T_{i+1}$$

and with differential given by $d(T_{i})=1$.