dorsal/arxiv
View SchemaRepresentations of U_q(sl(N)) at Roots of Unity
| Authors | B. Abdesselam, D. Arnaudon, A. Chakrabarti |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9504006 |
| URL | https://arxiv.org/abs/q-alg/9504006 |
| DOI | 10.1088/0305-4470/28/19/007 |
| Journal | J.Phys. A28 (1995) 5495-5508 |
Abstract
The Gelfand--Zetlin basis for representations of $U_q(sl(N))$ is improved to fit better the case when $q$ is a root of unity. The usual $q$-deformed representations, as well as the nilpotent, periodic (cyclic), semi-periodic (semi-cyclic) and also some atypical representations are now described with the same formalism.
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"abstract": "The Gelfand--Zetlin basis for representations of $U_q(sl(N))$ is improved to\nfit better the case when $q$ is a root of unity. The usual $q$-deformed\nrepresentations, as well as the nilpotent, periodic (cyclic), semi-periodic\n(semi-cyclic) and also some atypical representations are now described with the\nsame formalism.",
"arxiv_id": "q-alg/9504006",
"authors": [
"B. Abdesselam",
"D. Arnaudon",
"A. Chakrabarti"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1088/0305-4470/28/19/007",
"journal_ref": "J.Phys. A28 (1995) 5495-5508",
"title": "Representations of U_q(sl(N)) at Roots of Unity",
"url": "https://arxiv.org/abs/q-alg/9504006"
},
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