Generalized Jack and Macdonald polynomials arising from AGT conjecture

24th International Conference on Integrable Systems and Quantum symmetries

Ohkubo, Y.^1

Graduate School of Mathematics, Nagoya University, Nagoya

464-8602, Japan^1

关键词: Macdonald polynomials;    Macdonald symmetric function;    Orthogonality;    Symmetric functions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012036/pdf
DOI  :  10.1088/1742-6596/804/1/012036

来源: IOP

【 摘 要 】

We investigate the existence and the orthogonality of the generalized Jack symmetric functions which play an important role in the AGT relations. We show their orthogonality by deforming them to the generalized Macdonald symmetric functions.