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arXiv · q-alg/9610004

New Quantum Groups by Double-Bosonisation

S. Majid
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Abstract

We obtain new family of quasitriangular Hopf algebras $C^{0|n}_q\lcross \widetilde{U_q(su_n)}\rcross C^{0|n}_q$ via the author's recent double-bosonisation construction for new quantum groups. They are versions of $U_q(su_{n+1})$ with a fermionic rather than bosonic quantum plane of roots adjoined to $U_q(su_n)$. We give the $n=2$ case in detail. We also consider the anyonic-double of an anyonic ($Z/nZ$-graded) braided group and the double-bosonisation of the free braided group in $n$ variables.

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BibTeXRIS

S. Majid. 1996-10-04. New Quantum Groups by Double-Bosonisation. https://doi.org/10.1023/a%3A1021400329710

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