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Clifford-symmetric polynomials

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 نشر من قبل Fabian Lenzen
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Fabian Lenzen




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Based on the NilHecke algebra $mathsf{NH}_n$, the odd NilHecke algebra developed by Ellis, Khovanov and Lauda and Kang, Kashiwara and Tsuchiokas quiver Hecke superalgebra, we develop the Clifford Hecke superalgebra $mathsf{NH}mathfrak{C}_n$ as another super-algebraic analogue of $mathsf{NH}_n$. 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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