David Plaza

activity

20122026

most citedGraded decomposition numbers for the blob algebra

11 citations · 30 across the 12 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.RT2021★ 7 cited

Combinatorial invariance conjecture for $A_{2}$

Gaston Burrull, Nicolas Libedinsky, David Plaza

The combinatorial invariance conjecture (due independently to G. Lusztig and M. Dyer) predicts that if $[x, y]$ and $[x^{'}, y^{'}]$ are isomorphic Bruhat posets (of possibly different Cox…

math.RT2021

Pre-canonical bases on affine Hecke algebras

Nicolas Libedinsky, Leonardo Patimo, David Plaza

For any affine Weyl group, we introduce the pre-canonical bases. They are a set of bases ${N^{i}}_{1 \leq i \leq m + 1}$ (where $m$ is the height of the highest root) of the…

math.RT2021

Kazhdan-Lusztig polynomials for $B ~_{2}$

Karina Batistelli, Aram Bingham, David Plaza

Kazhdan and Lusztig define, for an arbitrary Coxeter system $(W, S)$ , a family of polynomials indexed by pairs of elements of $W$ . Despite their relevance and elementary definition,…

Combinatorial invariance conjecture for A2​

Pre-canonical bases on affine Hecke algebras

Kazhdan-Lusztig polynomials for B~2​

Combinatorial invariance conjecture for $A_{2}$

Kazhdan-Lusztig polynomials for $B ~_{2}$