dorsal/arxiv
View SchemaKilling Form on Quasitriangular Hopf Algebras and Quantum Lie Algebras
| Authors | Paul Watts |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9505027 |
| URL | https://arxiv.org/abs/q-alg/9505027 |
Abstract
The basics of quasitriangular Hopf algebras and quantum Lie algebras are briefly reviewed, and it is shown that their properties allow the introduction of a Killing form. For quantum Lie algebras, this leads to the definitions of a Killing metric and quadratic casimir. The specific case of $\uea{su}{N}$ is examined in detail, where it is shown that many of the classical results are reproduced, and explicit calculations to illustrate the conclusions are presented for $\uea{su}{2}$.
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"abstract": "The basics of quasitriangular Hopf algebras and quantum Lie algebras are\nbriefly reviewed, and it is shown that their properties allow the introduction\nof a Killing form. For quantum Lie algebras, this leads to the definitions of a\nKilling metric and quadratic casimir. The specific case of $\\uea{su}{N}$ is\nexamined in detail, where it is shown that many of the classical results are\nreproduced, and explicit calculations to illustrate the conclusions are\npresented for $\\uea{su}{2}$.",
"arxiv_id": "q-alg/9505027",
"authors": [
"Paul Watts"
],
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"q-alg",
"hep-th",
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"title": "Killing Form on Quasitriangular Hopf Algebras and Quantum Lie Algebras",
"url": "https://arxiv.org/abs/q-alg/9505027"
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