The first cohomology group of the generalized Morava stabilizer algebra
نویسندگان
چکیده
منابع مشابه
The First Cohomology Group of the Generalized Morava Stabilizer Algebra
There exists a p-local spectrum T (m) with BP∗(T (m))= BP∗[t1, . . . , tm]. Its Adams-Novikov E2-term is isomorphic to ExtΓ(m+1)(BP∗, BP∗), where Γ(m+ 1) = BP∗(BP )/ (t1, . . . , tm) = BP∗[tm+1, tm+2, . . . ]. In this paper we determine the groups ExtΓ(m+1)(BP∗, v −1 n BP∗/In) for all m,n > 0. Its rank ranges from n + 1 to n2 depending on the value of m.
متن کاملThe First Cohomology Group of the Generalized Morava Stabilizer Algebra (draft Version)
There are p-local spectra T (m) with BP∗(T (m)) = BP∗[t1, . . . , tm]. Its Adams-Novikov E2-term is isomorphic to ExtΓ(m+1)(BP∗, BP∗), where Γ(m + 1) = BP∗(BP )/ (t1, . . . , tm) = BP∗[tm+1, tm+2, . . . ]. In this paper we determine the groups ExtΓ(m+1)(BP∗, v −1 n BP∗/In) for all m, n > 0. Its rank ranges from 2n + 1 to n2 depending on the value of m.
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In this paper we continue our study of the groups ExtBp, Be(BP,, v 2 t BP,/I,). In [5] it was shown that these groups are essentially isomorphic to the cohomology of a certain Hopf algebra S(n) which we called the Morava stabilizer algebra since it was implicitly introduced in [6]. The structure of S(n) was analyzed in [8] where we defined a filtration on it and described the associated graded ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06718-7