dorsal/arxiv
View SchemaCapelli identities for Lie superalgebras
| Authors | Maxim Nazarov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9610032 |
| URL | https://arxiv.org/abs/q-alg/9610032 |
| Journal | Ann. Scient. Ec. Norm. Sup. 30 (1997), 847-872 |
Abstract
We apply the technique of affine Hecke algebras to the invariant theory of the "queer" Lie superalgebra $q_N$. We give explicit formulas for the elements of a distinguished basis in the centre of $U(q_N)$, determined by "vanishing" conditions. We evaluate the corresponding differential operators on $C^{N|N}\otimes C^{M|M}$. In particular, we obtain an analogue for $q_N$ of the classical Capelli identity.
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"abstract": "We apply the technique of affine Hecke algebras to the invariant theory of\nthe \"queer\" Lie superalgebra $q_N$. We give explicit formulas for the elements\nof a distinguished basis in the centre of $U(q_N)$, determined by \"vanishing\"\nconditions. We evaluate the corresponding differential operators on\n$C^{N|N}\\otimes C^{M|M}$. In particular, we obtain an analogue for $q_N$ of the\nclassical Capelli identity.",
"arxiv_id": "q-alg/9610032",
"authors": [
"Maxim Nazarov"
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"journal_ref": "Ann. Scient. Ec. Norm. Sup. 30 (1997), 847-872",
"title": "Capelli identities for Lie superalgebras",
"url": "https://arxiv.org/abs/q-alg/9610032"
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