| Title:
|
Hopf algebras of smooth functions on compact Lie groups (English) |
| Author:
|
Farkas, Eva C. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
651-661 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
$C^{\infty}$-Hopf-algebras |
| Keyword:
|
algebras of smooth functions on compact Lie groups |
| Keyword:
|
duality theorem |
| MSC:
|
16W30 |
| MSC:
|
22D35 |
| MSC:
|
22E15 |
| MSC:
|
46E25 |
| MSC:
|
46J15 |
| idZBL:
|
Zbl 1051.16021 |
| idMR:
|
MR1800176 |
| . |
| Date available:
|
2009-01-08T19:06:05Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119199 |
| . |
| Reference:
|
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| . |
