2018 / March Volume 13 No.1
Kostka-Shoji Polynomials and Lusztig's Convolution Diagram
| Published Date |
2018 / March
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|---|---|
| Title | Kostka-Shoji Polynomials and Lusztig's Convolution Diagram |
| Author | |
| Keyword | |
| Download | |
| Pagination | 31-42 |
| Abstract | We propose an $r$-variable version of Kostka-Shoji polynomials
$K^{-}_{\lambda\mu}$ for $r$-multipartitions $\lambda,\mu$. Our version has
positive integral coefficients (for regular $\mu$, and conjecturally
for arbitrary $\mu$) 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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| DOI | |
| AMS Subject Classification |
05E15 (14M15, 13A35).
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| Received |
2016-09-12
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| Accepted |
2016-09-14
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