ON COREPRESENTATION OF HOPF π-COALGEBRAS
2012 ◽
Vol 11
(05)
◽
pp. 1250086
Let π be a group and H be a Hopf π-coalgebra. We investigate the criterion for the existence of a total integral of π-H-comodule algebra A in the setting of Hopf π-coalgebras, and prove that there exists a total integral θ = {θα : Hα → A} if and only if any representation of the pair (H, A) is injective in a functorial way, as a corepresentation of H, which generalizes the result invented by Doi in the ordinary Hopf algebra setting.
2016 ◽
Vol 15
(04)
◽
pp. 1650069
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2019 ◽
Vol 21
(04)
◽
pp. 1850045
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2011 ◽
Vol 10
(05)
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pp. 931-946
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1995 ◽
Vol 101
(1)
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pp. 77-90
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1999 ◽
Vol 02
(01)
◽
pp. 105-129
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