dorsal/arxiv
View SchemaPolyhedral Realizations of Crystal Bases for Quantized Kac-Moody Algebras
| Authors | Toshiki Nakashima, Andrei Zelevinsky |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703045 |
| URL | https://arxiv.org/abs/q-alg/9703045 |
Abstract
Let B(\infty) be the crystal corresponding to the nilpotent part of a quantized Kac-Moody algebra. We suggest a general way to represent B(\infty) as the set of integer solutions of a system of linear inequalities. As an application, we treat in a unified manner all Kac-Moody algebras of rank 2 (sharpening the result by Kashiwara), as well as the algebras of types A_n and A_{n-1}^{(1)}.
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"abstract": "Let B(\\infty) be the crystal corresponding to the nilpotent part of a\nquantized Kac-Moody algebra. We suggest a general way to represent B(\\infty) as\nthe set of integer solutions of a system of linear inequalities. As an\napplication, we treat in a unified manner all Kac-Moody algebras of rank 2\n(sharpening the result by Kashiwara), as well as the algebras of types A_n and\nA_{n-1}^{(1)}.",
"arxiv_id": "q-alg/9703045",
"authors": [
"Toshiki Nakashima",
"Andrei Zelevinsky"
],
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"q-alg",
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],
"title": "Polyhedral Realizations of Crystal Bases for Quantized Kac-Moody Algebras",
"url": "https://arxiv.org/abs/q-alg/9703045"
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