Picard Groups of Rings of Coinvariants |
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Authors: | T Guédénon |
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Institution: | (1) 102-6 Jones Avenue, Sackville, New Brunswick, Canada, E4L 3Y7 |
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Abstract: | Let k be a field, H a Hopf k-algebra with bijective antipode, A a right H-comodule algebra and C a Hopf algebra with bijective antipode which is also a right H-module coalgebra. Under some appropriate assumptions, and assuming that the set of grouplike elements G(A ⊗ C) of the coring A ⊗ C is a group, we show how to calculate, via an exact sequence, the Picard group of the subring of coinvariants in terms of
the Picard group of A and various subgroups of G(A ⊗ C).
Presented by: Claus Ringel. |
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Keywords: | Picard groups Coinvariants Doi– Hopf modules |
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