Principle subspace for bosonic vertex operator $ϕ_{\sqrt{2m}}(z)$ and Jack polynomials

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dc.creatorFeigin, B.
dc.creatorFeigin, E.
dc.date2004-07-22
dc.date.accessioned2026-07-07T05:10:33Z
dc.date.available2026-07-07T05:10:33Z
dc.descriptionLet $ϕ_{\sqrt{2m}}(z)=\sum_{n\in\Z} a_n z^{-n-m}, m\in\N$ be bosonic vertex operator, $L$ some irreducible representation of the vertex algebra $\A_{(m)}$, associated with one-dimensional lattice $\Zl$, generated by vector $l$, $\bra l,l \ket=2m$. Fix some extremal vector $v\in L$. We study the principle subspace $\C[a_i]_{i\in\Z}\cdot v$ and its finitization $\C[a_i]_{i>N}\cdot v$. We construct their bases and find characters. In the case of finitization basis is given in terms of Jack polynomials.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0407372
dc.identifierhttp://arxiv.org/abs/math/0407372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71963
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B69; 81R10
dc.titlePrinciple subspace for bosonic vertex operator $ϕ_{\sqrt{2m}}(z)$ and Jack polynomials
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