Equivariant incidence algebras and equivariant Kazhdan–Lusztig–Stanley theory

Nicholas Proudfoot
<span title="2021-09-02">2021</span> <i title="Cellule MathDoc/CEDRAM"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jtld4aoak5ayfhb6qq4ltptrmi" style="color: black;">Algebraic Combinatorics</a> </i> &nbsp;
We establish a formalism for working with incidence algebras of posets with symmetries, and we develop equivariant Kazhdan-Lusztig-Stanley theory within this formalism. This gives a new way of thinking about the equivariant Kazhdan-Lusztig polynomial and equivariant Z-polynomial of a matroid.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5802/alco.174">doi:10.5802/alco.174</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ffzycfki4je5jllcuchcdlefqa">fatcat:ffzycfki4je5jllcuchcdlefqa</a> </span>
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