Clifford-symmetric polynomials

Based on the NilHecke algebra $\mathsf{NH}_n$, odd developed by Ellis, Khovanov and Lauda Kang, Kashiwara Tsuchioka's quiver Hecke superalgebra, we develop Clifford superalgebra $\mathsf{NH}\mathfrak{C}_n$ as another super-algebraic analogue of $\mathsf{NH}_n$. We show that there is a notion symmetric polynomials fitting in this picture, prove these are generated an appropriate elementary polynomials, whose properties shall discuss text.