What is MacDonald product?

Answer 1

The MacDonald product, also known as the MacDonald determinant or MacDonald polynomial, is a mathematical construct used in algebraic combinatorics. It generalizes the concept of Schur functions and is related to the study of symmetric functions, representation theory, and geometry. MacDonald polynomials are indexed by partitions and possess properties that make them useful in various areas, including the theory of symmetric functions and the study of symmetric groups. They also appear in the study of intersection cohomology and in the context of q-series and special functions.