dorsal/arxiv
View SchemaSymmetric functions and the Yangian decomposition of the Fock and Basic modules of the affine Lie algebra \hat{sl(N)}
| Authors | Denis Uglov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9705010 |
| URL | https://arxiv.org/abs/q-alg/9705010 |
Abstract
The decompositions of the Fock and Basic modules of the affine Lie algebra \hat{sl(N)} into irreducible submodules of the Yangian algebra Y(gl(N)) are constructed. Each of the irreducible submodules admits the unique up to normalization eigenbasis of the maximal commutative subalgebra of the Yangian. The elements of this eigenbasis are identified with specializations of Macdonald symmetric functions where both parameters of these functions approach an N-th primitive root of unity.
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"abstract": "The decompositions of the Fock and Basic modules of the affine Lie algebra\n\\hat{sl(N)} into irreducible submodules of the Yangian algebra Y(gl(N)) are\nconstructed. Each of the irreducible submodules admits the unique up to\nnormalization eigenbasis of the maximal commutative subalgebra of the Yangian.\nThe elements of this eigenbasis are identified with specializations of\nMacdonald symmetric functions where both parameters of these functions approach\nan N-th primitive root of unity.",
"arxiv_id": "q-alg/9705010",
"authors": [
"Denis Uglov"
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"title": "Symmetric functions and the Yangian decomposition of the Fock and Basic modules of the affine Lie algebra \\hat{sl(N)}",
"url": "https://arxiv.org/abs/q-alg/9705010"
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