Uygulamalı cebirsel teknikler kullanılarak weyl grupları için Grobner-Shirshov tabanlarının hesaplanması

In this thesis we will consider the calculation of Grobner-Shirshov bases ofWeyl groups. This will be the main focus of the thesis. In [1], Bokut & Shiao gavethe Grobner-Shirshov bases of positive definite classical Weyl groups Al;Bl;Dlusing the techniques of Composition Diamond Lemma and Elimination of LeadingWord.Here, we will verify that the Gröbner-Shirshov bases of Weyl groups Al;Bl;Dlare right using the Composition of Intersection, Composition of Including anddefnition of Grobner-Shirshov basis.We will give a counter example to a hypothesis introduced by Bokut & Shiaoin [1].