dorsal/arxiv
View SchemaQuantum hyperboloid and braided modules
| Authors | J. Donin, D. Gurevich, V. Rubtsov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9511014 |
| URL | https://arxiv.org/abs/q-alg/9511014 |
Abstract
When a quantum hyperboloid is realized, as a three - parameter algebra $\ahqc$, in the usual manner, the following problem arises: what is a ``representation theory'' of this algebra? We construct the series of all spin representations of $\ahqc$, and we discuss a braided version of the orbit method, i.e. a correspondence between orbits in $\gggg^*$ and $\gggg$-modules. A braided trace and a braided involution are discussed as well.
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"date_created": "2026-03-02T18:01:27.540000Z",
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"abstract": "When a quantum hyperboloid is realized, as a three - parameter algebra\n$\\ahqc$, in the usual manner, the following problem arises: what is a\n``representation theory\u0027\u0027 of this algebra? We construct the series of all spin\nrepresentations of $\\ahqc$, and we discuss a braided version of the orbit\nmethod, i.e. a correspondence between orbits in $\\gggg^*$ and $\\gggg$-modules.\nA braided trace and a braided involution are discussed as well.",
"arxiv_id": "q-alg/9511014",
"authors": [
"J. Donin",
"D. Gurevich",
"V. Rubtsov"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Quantum hyperboloid and braided modules",
"url": "https://arxiv.org/abs/q-alg/9511014"
},
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