Hopf algebras of smooth functions on compact Lie groups
Farkas, Eva C.
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000), p. 651-661 / Harvested from Czech Digital Mathematics Library
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A $C^{\infty}$-Hopf algebra is a $C^{\infty}$-algebra which is also a convenient Hopf algebra with respect to the structure induced by the evaluations of smooth functions. We characterize those $C^{\infty}$-Hopf algebras which are given by the algebra $C^{\infty}(G)$ of smooth functions on some compact Lie group $G$, thus obtaining an anti-isomorphism of the category of compact Lie groups with a subcategory of convenient Hopf algebras.

Publié le : 2000-01-01
Classification:  16W30,  22D35,  22E15,  46E25,  46J15 
@article{119199,
     author = {Eva C. Farkas},
     title = {Hopf algebras of smooth functions on compact Lie groups},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {41},
     year = {2000},
     pages = {651-661},
     zbl = {1051.16021},
     mrnumber = {1800176},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119199}
}

Farkas, Eva C. Hopf algebras of smooth functions on compact Lie groups. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 651-661. http://gdmltest.u-ga.fr/item/119199/

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