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