Hopf rings and unstable operations
نویسندگان
چکیده
منابع مشابه
Hopf Rings
The category of graded, bicommutative Hopf algebras over the prime eld with p elements is an abelian category which is equivalent, by work of Schoeller, to a category of graded modules, known as Dieudonn e modules. Graded ring objects in Hopf algebras are called Hopf rings, and they arise in the study of unstable cohomology operations for extraordinary cohomology theories. The central point of ...
متن کاملHopf Rings in Algebraic Topology
These are colloquium style lecture notes about Hopf rings in algebraic topology. They were designed for use by non-topologists and graduate students but have been found helpful for those who want to start learning about Hopf rings. They are not “up to date,” nor are they intended to be, but instead they are intended to be introductory in nature. Although these are “old” notes, Hopf rings are th...
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The so called induction functors appear in several areas of Algebra in different forms. Interesting examples are the induction functors in the Theory of Affine Algebraic groups. In this note we investigate the so called Hopf pairings (bialgebra pairings) and use them to study induction functors for affine group schemes over arbitrary commutative ground rings. We present also a special type of H...
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For any normal commutative Hopf subalgebra K = k of a semisimple Hopf algebra we describe the ring inside kG obtained by the restriction of H-modules. If G = Zp this ring determines a fusion ring and we give a complete description for it. The case G = Zpn and some other applications are presented.
متن کاملA Rational Approach to Hopf Rings
We study Hopf rings of the form E∗(F∗), where E∗(−) is a complex oriented homology theory and F∗ is the graded ring space arising from a complex oriented Ω-spectrum F . We propose a new model Hopf ring E ∗ (F∗) which is constructed by purely algebraic means from the rationalisations EQ∗(F∗), E∗(FQ∗) and EQ∗(FQ∗), and which in many cases is isomorphic to E∗(F∗). Our model may be expressed in ter...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1994
ISSN: 0022-4049
DOI: 10.1016/0022-4049(94)90032-9