dorsal/arxiv
View SchemaRepresentations of the q-deformed algebra $U'_q(so_{2,2})$
| Authors | A. U. Klimyk |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9709035 |
| URL | https://arxiv.org/abs/q-alg/9709035 |
Abstract
The main aim of this paper is to give classes of irreducible infinite dimensional representations and of irreducible $*$-representations of the q-deformed algebra $U'_q(so_{2,2})$ which is a real form of the non-standard deformation $U'_q(so_4)$ of the universal enveloping algebra $U(so(4,C))$. These representations are described by two complex parameters and are obtained by "analytical continuation" of the irreducible finite dimensional representations of the algebra $U'_q(so_4)$ in the basis corresponding to the reduction from $U'_q(so_4)$ to $U(so_2\oplus so_2)$.
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"abstract": "The main aim of this paper is to give classes of irreducible infinite\ndimensional representations and of irreducible $*$-representations of the\nq-deformed algebra $U\u0027_q(so_{2,2})$ which is a real form of the non-standard\ndeformation $U\u0027_q(so_4)$ of the universal enveloping algebra $U(so(4,C))$.\nThese representations are described by two complex parameters and are obtained\nby \"analytical continuation\" of the irreducible finite dimensional\nrepresentations of the algebra $U\u0027_q(so_4)$ in the basis corresponding to the\nreduction from $U\u0027_q(so_4)$ to $U(so_2\\oplus so_2)$.",
"arxiv_id": "q-alg/9709035",
"authors": [
"A. U. Klimyk"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Representations of the q-deformed algebra $U\u0027_q(so_{2,2})$",
"url": "https://arxiv.org/abs/q-alg/9709035"
},
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