dorsal/arxiv
View SchemaDouble quantization on the coadjoint representation of sl(n)
| Authors | J. Donin |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9707031 |
| URL | https://arxiv.org/abs/q-alg/9707031 |
| DOI | 10.1023/A:1021654016159 |
Abstract
For $\g=sl(n)$ we construct a two parametric $U_h(\g)$-invariant family of algebras, $(S\g)_{t,h}$, which defines a quantization of the function algebra $S\g$ on the coadjoint representation and in the parameter $t$ gives a quantization of the Lie bracket. The family induces a two parametric deformation of the function algebra of any maximal orbit which is a quantization of the Kirillov-Kostant-Souriau bracket in the parameter $t$. In addition we construct a quantum de Rham complex on $\g^*$.
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"abstract": "For $\\g=sl(n)$ we construct a two parametric $U_h(\\g)$-invariant family of\nalgebras, $(S\\g)_{t,h}$, which defines a quantization of the function algebra\n$S\\g$ on the coadjoint representation and in the parameter $t$ gives a\nquantization of the Lie bracket. The family induces a two parametric\ndeformation of the function algebra of any maximal orbit which is a\nquantization of the Kirillov-Kostant-Souriau bracket in the parameter $t$. In\naddition we construct a quantum de Rham complex on $\\g^*$.",
"arxiv_id": "q-alg/9707031",
"authors": [
"J. Donin"
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"q-alg",
"math.QA"
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"doi": "10.1023/A:1021654016159",
"title": "Double quantization on the coadjoint representation of sl(n)",
"url": "https://arxiv.org/abs/q-alg/9707031"
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