dorsal/arxiv
View SchemaFactorial supersymmetric Schur functions and super Capelli identities
| Authors | Alexander Molev |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9606008 |
| URL | https://arxiv.org/abs/q-alg/9606008 |
Abstract
A factorial analogue of the supersymmetric Schur functions is introduced. It is shown that factorial versions of the Jacobi--Trudi and Sergeev--Pragacz formulae hold. The results are applied to construct a linear basis in the center of the universal enveloping algebra for the Lie superalgebra gl(m|n) and to obtain super-analogues of the higher Capelli identities.
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"abstract": "A factorial analogue of the supersymmetric Schur functions is introduced. It\nis shown that factorial versions of the Jacobi--Trudi and Sergeev--Pragacz\nformulae hold. The results are applied to construct a linear basis in the\ncenter of the universal enveloping algebra for the Lie superalgebra gl(m|n) and\nto obtain super-analogues of the higher Capelli identities.",
"arxiv_id": "q-alg/9606008",
"authors": [
"Alexander Molev"
],
"categories": [
"q-alg",
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"title": "Factorial supersymmetric Schur functions and super Capelli identities",
"url": "https://arxiv.org/abs/q-alg/9606008"
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