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The strong Brauer group of a cocommutative coalgebra

✍ Scribed by J. Cuadra; F. van Oystaeyen

Book ID
108357918
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
158 KB
Volume
171
Category
Article
ISSN
0022-4049

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That is, for a cocommuta-Ž . Ž . Ž . tive irreducible coalgebra C, the homomorphism y \*: Br C ª Br C\* is injective. The proof uses Morita᎐Takeuchi theory and the linear topology of all closed Ž . cofinite left ideals in C\*. As an inmediate consequence, Br C is a torsion group. Ž . Some cases wher

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Previously we obtained a Picard᎐Brauer five term exact sequence for a symmetric monoidal functor between closed categories. Here we construct the corresponding sequence using the closed category of H-modules for a cocommutative Hopf algebra H.