Katsuyuki Naoi

most citedLoewy series of Weyl modules and the Poincaré polynomials of quiver varieties

10 citations · 10 across the 1 of their papers we have counts for

collaborators

2 papers

math.QA2019

Existence of Kirillov-Reshetikhin crystals for near adjoint nodes in exceptional types

Katsuyuki Naoi, Travis Scrimshaw

We prove that, in types $E_{6, 7, 8}^{(1)}$ , $F_{4}^{(1)}$ and $E_{6}^{(2)}$ , every Kirillov--Reshetikhin module associated with the node adjacent to the adjoint one (near adjoint node)…

math.RT2011★ 10 cited

Loewy series of Weyl modules and the Poincaré polynomials of quiver varieties

Ryosuke Kodera, Katsuyuki Naoi

We prove that a Weyl module for the current Lie algebra associated with a simple Lie algebra of type $A D E$ is rigid, that is, it has a unique Loewy series. Further we use this resu…