Questions tagged [klr-algebras]
Questions about the Khovanov-Lauda-Rouquier algebras. These algebras are used in particular to categorify the representations of universal enveloping algebras of semi-simple Lie algebras
4
questions with no upvoted or accepted answers
7
votes
0
answers
239
views
Trace on a KLR algebra
The cyclotomic KLR algebra is isomorphic to the Ariki-Koike algebra over a field and so admits a trace (this is used in Hu-Mathas' paper to define bases for the KLR algebra corresponding to Murphy and ...
- 1,191
4
votes
0
answers
69
views
On the order of the head of product of two simple modules over Quiver Hecke Algebras
My question is:
We assume the underlying quiver is a Dynkin quiver. Let $L(\lambda)$ and $L(\mu)$ be two simple modules over Quiver Hecke algebra $R$ where $\lambda$ and $\mu$ are two Konstant ...
- 71
4
votes
0
answers
135
views
Homogenous Hermitian form on the KLR algebra
Does there exist a homogenous conjugate-linear automorphism of the KLR algebra? I want to be able to define a homogenous Hermitian form on the (Specht) modules of the (cyclotomic) KLR algebra.
- 1,191
2
votes
0
answers
167
views
Signs in relations of Brundan--Kleshchev versus Khovanov--Lauda
The following relations in the definition of the quiver Hecke algebra in Brundan--Kleshchev's paper are
$$
y_r \psi_r e(\underline{i}) =(\psi_r y_{r+1} - \delta_{i_r,i_{r+1}})e(\underline{i});\\
$$
...
- 1,191