dorsal/arxiv
View SchemaHidden Symmetry of the Differential Calculus on the Quantum Matrix Space
| Authors | S. Sinel'shchikov, L. Vaksman |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9603012 |
| URL | https://arxiv.org/abs/q-alg/9603012 |
| DOI | 10.1088/0305-4470/30/2/002 |
Abstract
A standard bicovariant differential calculus on a quantum matrix space ${\tt Mat}(m,n)_q$ is considered. The principal result of this work is in observing that the $U_q\frak{s}(\frak{gl}_m\times \frak{gl}_n))_q$ is in fact a $U_q\frak{sl}(m+n)$-module differential algebra.
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"abstract": "A standard bicovariant differential calculus on a quantum matrix space ${\\tt\nMat}(m,n)_q$ is considered. The principal result of this work is in observing\nthat the $U_q\\frak{s}(\\frak{gl}_m\\times \\frak{gl}_n))_q$ is in fact a\n$U_q\\frak{sl}(m+n)$-module differential algebra.",
"arxiv_id": "q-alg/9603012",
"authors": [
"S. Sinel\u0027shchikov",
"L. Vaksman"
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"doi": "10.1088/0305-4470/30/2/002",
"title": "Hidden Symmetry of the Differential Calculus on the Quantum Matrix Space",
"url": "https://arxiv.org/abs/q-alg/9603012"
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