Kostka-Shoji polynomials and Lusztig's convolution diagram
Abstract
We propose an r-variable version of Kostka-Shoji polynomials K-λμ for r-multipartitions λ,μ. Our version has positive integral coefficients and encodes the graded multiplicities in the space of global sections of a line bundle over Lusztig's iterated convolution diagram for the cyclic quiver Ar-1.
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