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Vertex operators and Hall-Littlewood symmetric functions

✍ Scribed by Naihuan Jing

Book ID
107710074
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
855 KB
Volume
87
Category
Article
ISSN
0001-8708

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Given a partition \*=(\* 1 , \* 2 , ..., \* k ), let \* rc =(\* 2 &1, \* 3 &1, ..., \* k &1). It is easily seen that the diagram \*Â\* rc is connected and has no 2\_2 subdiagrams, we shall call it a ribbon. To each ribbon R, we associate a symmetric function operator S R . We may define the major in

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A family of vertex operators that generalizes those given by Jing for the Hall Littlewood symmetric functions is presented. These operators produce symmetric functions related to the Poincare polynomials referred to as generalized Kostka polynomials in the same way that Jing's operator produces symm