2024-03-29T09:23:33Z
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oai:repository.dl.itc.u-tokyo.ac.jp:00040372
2022-12-19T04:14:59Z
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On the maximum value of the first coefficients of Kazhdan-Lusztig polynomials for symmetric
Tagawa, Hiroyuki
138970
415
application/pdf
In this article, we show that max$\{c^-(w);w \in \frak S_n\} = [n^2/4]$, where $c^-(w)$ is the number of elements covered by $w \in \frak S_n$ in the Bruhat order. Using this result, we can see that the maximum value of the first coefficients of Kazhdan-Lusztig polynomials for $\frak S_n$ equals $[n^2/4]- n + 1$.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
1994
application/pdf
Journal of mathematical sciences, the University of Tokyo
2
1
461
469
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/40372/files/jms010210.pdf
eng