Corpus ID: 123206856

On some quadratic algebras, Dunkl elements, Schubert, Grothendieck, Tutte and reduced polynomials

@inproceedings{Kirillov2014OnSQ,
  title={On some quadratic algebras, Dunkl elements, Schubert, Grothendieck, Tutte and reduced polynomials},
  author={A. Kirillov},
  year={2014}
}
We introduce and study a certain class of quadratic algebras, which are nonhomogenious in general, together with the distinguish set of mutually commuting elements inside of each, the so-called Dunkl elements. We describe relations among the Dunkl elements in the case of a family of quadratic algebras corresponding to a certain splitting of the universal classical Yang–Baxter relations into two three term relations. This result is a further extension and generalization of analogous results… Expand
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