dorsal/arxiv
View SchemaA decription of the quantum superalgebra $U_q[osp(2n+1/2m)]$ via Green generators
| Authors | Tchavdar D. Palev |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9607030 |
| URL | https://arxiv.org/abs/q-alg/9607030 |
Abstract
A description of the orthosymplectic Lie superalgebra $osp(2n+1/2m)$ and also of its $q-$deformed analogue $U_q[osp(2n+1/2m)]$ in terms of a new set of generators, called Green generators, is given. These generators are very different form the well known Chevalley generators. Mathematically the Green generators are the root vectors, corresponding to the positive and the negative orthogonal roots. Physically, they consist of $m$ pairs of (deformed) para-Bose operators and $n$ pairs of (deformed) para-Fermi operators.
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"abstract": "A description of the orthosymplectic Lie superalgebra $osp(2n+1/2m)$ and also\nof its $q-$deformed analogue $U_q[osp(2n+1/2m)]$ in terms of a new set of\ngenerators, called Green generators, is given. These generators are very\ndifferent form the well known Chevalley generators. Mathematically the Green\ngenerators are the root vectors, corresponding to the positive and the negative\northogonal roots. Physically, they consist of $m$ pairs of (deformed) para-Bose\noperators and $n$ pairs of (deformed) para-Fermi operators.",
"arxiv_id": "q-alg/9607030",
"authors": [
"Tchavdar D. Palev"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "A decription of the quantum superalgebra $U_q[osp(2n+1/2m)]$ via Green generators",
"url": "https://arxiv.org/abs/q-alg/9607030"
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