dorsal/arxiv
View SchemaNew Quantum Groups by Double-Bosonisation
| Authors | S. Majid |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9610004 |
| URL | https://arxiv.org/abs/q-alg/9610004 |
| DOI | 10.1023/A:1021400329710 |
| Journal | Czech.J.Phys.47:79-90,1997 |
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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"abstract": "We obtain new family of quasitriangular Hopf algebras $C^{0|n}_q\\lcross\n\\widetilde{U_q(su_n)}\\rcross C^{0|n}_q$ via the author\u0027s recent\ndouble-bosonisation construction for new quantum groups. They are versions of\n$U_q(su_{n+1})$ with a fermionic rather than bosonic quantum plane of roots\nadjoined to $U_q(su_n)$. We give the $n=2$ case in detail. We also consider the\nanyonic-double of an anyonic ($Z/nZ$-graded) braided group and the\ndouble-bosonisation of the free braided group in $n$ variables.",
"arxiv_id": "q-alg/9610004",
"authors": [
"S. Majid"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1023/A:1021400329710",
"journal_ref": "Czech.J.Phys.47:79-90,1997",
"title": "New Quantum Groups by Double-Bosonisation",
"url": "https://arxiv.org/abs/q-alg/9610004"
},
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