Calculation of Grobner-Shirshov bases for weyl groups using applied algebra techniques

Reyhan Emel Aydın

Master'sOpen Access

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Calculation of Grobner-Shirshov bases for weyl groups using applied algebra techniques

2008

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Advisor: Doç. Dr. Cenap Ozel ; Yrd. Doç. Dr. Erol Yılmaz

Abstract (TR)

Bu tezde Weyl gruplarinin Grobner-Shirshov tabanlarini inceleyecegiz. Tezimizinesas odagi budur.[1] de, Bokut & Shiao "Oncü Kelimelerin Elenmesi" ve "Birlesik Elmas Teoremi"tekniklerini kullanarak, pozitif tanimli klasik Weyl gruplari olan Al;Bl veDl'in Grobner-Shirshov tabanlarini hesapladilar.Biz ise klasik Weyl gruplari olan Al;Bl ve Dl'in Grobner-Shirshov tabanlarinin dogrulugunu, "Icermenin Birlesimi", "Kesisimin Birlesimi" tekniklerini veGrobner-Shirshov tabaninin esas tanimini kullanarak hesaplayacagiz.[1] de, Bokut & Shiao tarafindan tanitilan hipoteze karsit örnek verecegiz.

Author

Dr. Reyhan Emel Aydın

Institution

Bolu Abant Izzet Baysal University

Institute of Graduate Studies in Science

Mathematics

How to Cite

Reyhan Emel Aydın (Yüksek Lisans Tezi). Calculation of Grobner-Shirshov bases for weyl groups using applied algebra techniques, 2008, Bolu Abant Izzet Baysal University.

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Abant İzzet Baysal Üniversitesi Cebirsel geometri Gruplar

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Calculation of Grobner-Shirshov bases for weyl groups using applied algebra techniques

Abstract (TR)

Author

Institution

How to Cite

Keywords

License

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