By the same authors

From the same journal

Path combinatorics and light leaves for quiver Hecke algebras

Research output: Contribution to journalArticlepeer-review



Publication details

JournalMathematische Zeitschrift
DateAccepted/In press - 26 Jun 2021
DateE-pub ahead of print - 29 Sep 2021
DatePublished (current) - Mar 2022
Issue number3
Pages (from-to)2167-2203
Early online date29/09/21
Original languageEnglish


We recast the classical notion of “standard tableaux" in an alcove-geometric setting and extend these classical ideas to all “reduced paths" in our geometry. This broader path-perspective is essential for implementing the higher categorical ideas of Elias–Williamson in the setting of quiver Hecke algebras. Our first main result is the construction of light leaves bases of quiver Hecke algebras. These bases are richer and encode more structural information than their classical counterparts, even in the case of the symmetric groups. Our second main result provides path-theoretic generators for the “Bott–Samelson truncation" of the quiver Hecke algebra.

Bibliographical note

© The Author(s) 2021


Discover related content

Find related publications, people, projects, datasets and more using interactive charts.

View graph of relations