dorsal/arxiv
View SchemaMultiparameter Deformations of the Algebra $gl_n$ in Terms of Anyonic Oscillators
| Authors | A. M. Gavrilik, N. Z. Iorgov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9511017 |
| URL | https://arxiv.org/abs/q-alg/9511017 |
| DOI | 10.2991/jnmp.1996.3.3-4.26 |
Abstract
Generators of multiparameter deformations $U_{q;s_1,s_2,...,s_{n-1}}(gl_n)$ of the universal enveloping algebra $U(gl_n)$ are realized bilinearly by means of appropriately generalized form of anyonic oscillators (AOs). This modification takes into account the parameters $s_1,...,s_{n-1}$ and yields usual AOs when all the $s_i$ are set equal to unity.
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"abstract": "Generators of multiparameter deformations $U_{q;s_1,s_2,...,s_{n-1}}(gl_n)$\nof the universal enveloping algebra $U(gl_n)$ are realized bilinearly by means\nof appropriately generalized form of anyonic oscillators (AOs). This\nmodification takes into account the parameters $s_1,...,s_{n-1}$ and yields\nusual AOs when all the $s_i$ are set equal to unity.",
"arxiv_id": "q-alg/9511017",
"authors": [
"A. M. Gavrilik",
"N. Z. Iorgov"
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"doi": "10.2991/jnmp.1996.3.3-4.26",
"title": "Multiparameter Deformations of the Algebra $gl_n$ in Terms of Anyonic Oscillators",
"url": "https://arxiv.org/abs/q-alg/9511017"
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