Jack vertex operators and realization of Jack functions
نویسندگان
چکیده
منابع مشابه
On vertex operator realizations of Jack functions
On the vertex operator algebra associated with a rank one lattice we derive a general formula for products of vertex operators in terms of generalized homogeneous symmetric functions. As an application we realize Jack symmetric functions of rectangular shapes as well as marked rectangular shapes.
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Λ:λրΛ(cα(b) + u)(cα(b) + v)κα(λ,Λ)φ(Λ) = (nα + uv) φ(λ), where cα(b) is the α-content of a new box b = Λ \ λ. If α = 1, this identity implies the existence of an interesting family of positive definite central functions on the infinite symmetric group. The approach is based on the interpretation of a Young diagram as a pair of interlacing sequences, so that analytic techniques may be used to so...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2013
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-013-0438-9