The Q,T-Catalan Numbers and the Space of Diagonal Harmonics

Contains detailed descriptions of the many exciting developments in the combinatorics of the space of diagonal harmonics, a topic at the forefront of research in algebraic combinatorics. This book includes discussions of some topics in the theory of symmetric functions, such as the practical uses of plethystic substitutions.
This book contains detailed descriptions of the many exciting recent developments in the combinatorics of the space of diagonal harmonics, a topic at the forefront of current research in algebraic combinatorics. These developments led in turn to some surprising discoveries in the combinatorics of Macdonald polynomials, which are described in Appendix A. The book is appropriate as a text for a topics course in algebraic combinatorics, a volume for self-study, or a reference text for researchers in any area which involves symmetric functions or lattice path combinatorics.

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