Hopf–Galois extensions and an exact sequence for H-Picard groups
نویسندگان
چکیده
منابع مشابه
Hopf-galois Extensions and an Exact Sequence for H-picard Groups
1 → H(H,Z(A)) g1 → Pic(A) g2 → Pic(A) g3 → H(H,Z(A)). Here H∗(H,Z(AcoH)) are the Sweedler cohomology groups (with respect to the Miyashita-Ulbrich action of H on Z(AcoH)), Pic(AcoH)H is the group of H-invariant elements of Pic(AcoH) and Pic(A) is the group of isomorphism classes of invertible relative Hopf bimodules. We shall give later more details about these notations. Moreover, g1 and g2 ar...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2010
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2009.10.010