Relating quantum and braided Lie algebras

X. Gomez; S. Majid

X. Gomez ; S. Majid

Banach Center Publications, Tome 60 (2003), p. 91-102 / Harvested from The Polish Digital Mathematics Library

Résumé

We outline our recent results on bicovariant differential calculi on co-quasitriangular Hopf algebras, in particular that if $_{Γ}$ is a quantum tangent space (quantum Lie algebra) for a CQT Hopf algebra A, then the space $k \oplus_{Γ}$ is a braided Lie algebra in the category of A-comodules. An important consequence of this is that the universal enveloping algebra $U (_{Γ})$ is a bialgebra in the category of A-comodules.

Publié le : 2003-01-01

Zbl 1061.58003

EUDML-ID : urn:eudml:doc:282290

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     author = {X. Gomez and S. Majid},
     title = {Relating quantum and braided Lie algebras},
     journal = {Banach Center Publications},
     volume = {60},
     year = {2003},
     pages = {91-102},
     zbl = {1061.58003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc61-0-6}
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X. Gomez; S. Majid. Relating quantum and braided Lie algebras. Banach Center Publications, Tome 60 (2003) pp. 91-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc61-0-6/