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Preface Table of Contents Conventions
Elementary Coalgebra Theory
Comodule Structure Theory
15 other sections not shown
affine algebraic group Alg(H algebra structure antipode bialgebra bijective cocommutative cocommutative pointed cofinite ideal cofree coalgebra comodule comodule map comodule structure completes the proof composite contains COROLLARY Define definition denote dense divided powers dual exercise finite dimen follows Galois gebra gr f graded coalgebra graded coalgebra map group-like element h e H Hence HKer Hom(A Hom(C Hopf algebra Hopf algebra map Hopf module implies induces injective inverse Ker f left ideal LEMMA Let F Let H Lie algebra linear map map F maximal ideal morphism multiplication N-sequence notation pointed irreducible coalgebra PROPOSITION proved rational module right coideal right H-comodule SECTION Sh(u Sh(V strictly graded bialgebra sub-bialgebra subcomodule submodule sum of simple Suppose H surjective symmetric algebra tensor algebra THEOREM unique coalgebra map unique simple subcoalgebra universal enveloping algebra vector space