The cofree irreducible Hopf algebra on a separable field extension
نویسندگان
چکیده
منابع مشابه
On the Structure of Cofree Hopf Algebras
We prove an analogue of the Poincaré-Birkhoff-Witt theorem and of the Cartier-Milnor-Moore theorem for non-cocommutative Hopf algebras. The primitive part of a cofree Hopf algebra is a B∞-algebra. We construct a universal enveloping functor U2 from B∞-algebras to 2-associative algebras, i.e. algebras equipped with two associative operations. We show that any cofree Hopf algebra H is of the form...
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The particles with a scattering matrix R(x) are defined as operators Φi(z) satisfying the relation R j′,i′ i,j (x1/x2)Φi′(x1)Φj′ (x2) = Φi(x2)Φj(x1). The algebra generated by those operators is called a Zamolochikov algebra. We construct a new Hopf algebra by adding half of the FRTS construction of a quantum affine algebra with this R(x). Then we double it to obtain a new Hopf algebra such that...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1981
ISSN: 0021-8693
DOI: 10.1016/0021-8693(81)90234-9