Kostka-Shoji polynomials and Lusztig's convolution diagram
classification
🧮 math.AG
math.RT
keywords
convolutiondiagramkostka-shojilambdalusztigpolynomialsversionbundle
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We propose an $r$-variable version of Kostka-Shoji polynomials $K^-_{\lambda\mu}$ for $r$-multipartitions $\lambda,\mu$. 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 $\tilde{A}_{r-1}$.
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