Degree Three Cohomological Invariants and Motivic Cohomology of Reductive Groups
Başlık:
Degree Three Cohomological Invariants and Motivic Cohomology of Reductive Groups
Yazar:
Laackman, Donald Joseph, III, author.
ISBN:
9780438068872
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (63 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Advisors: Alexander S. Merkurjev Committee members: Paul Balmer; Richard S. Elman; Milos D. Ercegovac.
Özet:
This dissertation is concerned with calculating the group of degree three cohomological invariants of a reductive group over a field of arbitrary characteristic. We prove a formula for the group of degree three cohomological invariants of a split reductive group G with coefficients in Q/Z(2) over a field F of arbitrary characteristic. As an application, we then use this to define the group of reductive invariants of split semisimple groups, and compute these groups in all (almost) simple cases. We additionally prove the existence of a discrete relative motivic complex for any reductive group, which could be used to compute the degree two and three invariants of arbitrary reductive groups.
Notlar:
School code: 0031
Konu Başlığı:
Tüzel Kişi Ek Girişi:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(694771.1) | 694771-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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