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- W3166804514 abstract "Abstract The finite dual $H^{circ}$ of an affine commutative-by-finite Hopf algebra H is studied. Such a Hopf algebra H is an extension of an affine commutative Hopf algebra A by a finite dimensional Hopf algebra $overline{H}$ . The main theorem gives natural conditions under which $H^{circ}$ decomposes as a crossed or smash product of $overline{H}^{ast}$ by the finite dual $A^{circ}$ of A . This decomposition is then further analysed using the Cartier–Gabriel–Kostant theorem to obtain component Hopf subalgebras of $H^{circ}$ mapping onto the classical components of $A^{circ}$ . The detailed consequences for a number of families of examples are then studied." @default.
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- W3166804514 date "2022-03-21" @default.
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- W3166804514 title "The finite dual of commutative-by-finite Hopf algebras" @default.
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