Principal subspace for the bosonic vertex operator ϕ2m(z) and Jack polynomials
DOI: 10.1016/J.AIM.2005.09.001
关键词: Basis (universal algebra) 、 Lattice (group) 、 Operator (physics) 、 Vertex operator algebra 、 Mathematics 、 Principal subspace 、 Combinatorics 、 Irreducible representation 、 Vertex (graph theory)
摘要: Abstract Let ϕ 2 m ( z ) = ∑ n ∈ Z a − , N be bosonic vertex operator and L some irreducible representation of the algebra A associated with one-dimensional lattice l 〈 〉 . Fix extremal vector v We study principal subspace C [ i ] ⋅ its finitization > construct their bases find characters. In case finitization, basis is given in terms Jack polynomials.
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