Titlebook: Classical Hopf Algebras and Their Applications; Pierre Cartier,Frédéric Patras Book 2021 Springer Nature Switzerland AG 2021 Hopf algebras

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Group Theoryresentations. This chapter expands on these ideas, developing three applications of Hopf algebras to group theory: the algebraicity of compact Lie groups; the theory of algebraic envelopes; Tannaka duality.

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Representing the Modern Animal in Culturerious application domains such as perturbative quantum field theory or numerical analysis, to quote only a few. They generate a special class of Lie algebras and have enveloping algebras enjoying more properties than usual enveloping algebras of Lie algebras.

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Pierre Cartier,Frédéric PatrasOffers a modern and systematic treatment of the classical structure theory of Hopf algebras.Covers the general theory and a wide range of classical and recent applications.Written by one of the founde

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Group Theoryresentations. This chapter expands on these ideas, developing three applications of Hopf algebras to group theory: the algebraicity of compact Lie groups; the theory of algebraic envelopes; Tannaka duality.

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