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Hopf algebras by S. Caenepeel, J. Vercruysse is a nonfiction available to read on EtoBox.

What is Hopf algebras about?

Categories......Page 4 Functors......Page 6 Adjoint functors......Page 7 Equivalences and isomorphisms of categories......Page 8 Kernels and cokernels......Page 10 Limits and colimits......Page 11 Exact functors......Page 12 Grothendieck categories......Page 13 Existence of tensor product......Page 14 Iterated tensor products......Page 15 Tensor products over arbitrary algebras......Page 16 Monoidal categories and coherence......Page 17 Monoidal functors......Page 18 Symmetric and braided monoidal categories......Page 19 Monoidal categories and bialgebras......Page 21 The convolution product, the antipode and Hopf algebras......Page 24 Projective modules......Page 26 Duality......Page 27 Examples of coalgebras......Page 29 Subcoalgebras and coideals......Page 31 Comodules......Page 33 Examples of Hopf algebras......Page 38 Integrals and separability......Page 45 Hopf modules and the fundamental theorem......Page 48 Algebras and coalgebras in monoidal categories......Page 62 Corings......Page 63 Faithfully flat descent......Page 68 Galois corings......Page 72 Morita Theory......Page 74 Galois corings and Morita theory......Page 87 Hopf-Galois extensions......Page 94 Strongly graded

Who reads Hopf algebras?

Author

S. Caenepeel, J. Vercruysse

Published

2018

Language

EN

Category

nonfiction

Subjects

Mathematics, Algebra, Stem