dorsal/arxiv
View SchemaOn the Drinfel'd-Kohno Equivalence of Groups and Quantum Groups
| Authors | Ralf A. Engeldinger |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9509001 |
| URL | https://arxiv.org/abs/q-alg/9509001 |
Abstract
A method to calculate matrix representations of the twist element $\ff$ of Drinfel'd -- chosen to be unitary -- is given and illustrated at some examples. It is observed that for these F-matrices the crystal limit $q\!\to\! 0$ exists and that \mbox{F-matrices} twisting from $0$ to $q$ are of a simpler form than F-matrices twisting from $1$ to $q$. These results lead to a new interpretation of $q$-deformation in terms of tensor products of finite-dimensional representations of compact simple Lie groups.
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"abstract": "A method to calculate matrix representations of the twist element $\\ff$ of\nDrinfel\u0027d -- chosen to be unitary -- is given and illustrated at some examples.\nIt is observed that for these F-matrices the crystal limit $q\\!\\to\\! 0$ exists\nand that \\mbox{F-matrices} twisting from $0$ to $q$ are of a simpler form than\nF-matrices twisting from $1$ to $q$. These results lead to a new interpretation\nof $q$-deformation in terms of tensor products of finite-dimensional\nrepresentations of compact simple Lie groups.",
"arxiv_id": "q-alg/9509001",
"authors": [
"Ralf A. Engeldinger"
],
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"q-alg",
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"title": "On the Drinfel\u0027d-Kohno Equivalence of Groups and Quantum Groups",
"url": "https://arxiv.org/abs/q-alg/9509001"
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