17 citations · 37 across the 24 of their papers we have counts for
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Partial -invariants and cluster categorifications
Peigen Cao, Ryo Fujita, Kota Murakami
The -invariant in cluster algebras is a combinatorial invariant that unifies the -invariant from additive categorification and the -invariant from monoidal cate…
Deformed Cartan matrices and generalized preprojective algebras II: General type
Ryo Fujita, Kota Murakami
We propose a definition of deformed symmetrizable generalized Cartan matrices with several deformation parameters, which admit a categorical interpretation by graded modules over t…
Deformed Cartan matrices and generalized preprojective algebras I: Finite type
Ryo Fujita, Kota Murakami
We give an interpretation of the -deformed Cartan matrices of finite type and their inverses in terms of bigraded modules over the generalized preprojective algebras of Lang…
PBW parametrizations and generalized preprojective algebras
Kota Murakami
Geiß-Leclerc-Schröer [Invent. Math. 209 (2017)] has introduced a notion of generalized preprojective algebra associated with a generalized Cartan matrix and its symmetrizer. This c…
On the module categories of generalized preprojective algebras of Dynkin type
Kota Murakami
For a symmetrizable GCM and its symmetrizer , Geiss-Leclerc-Schröer [Invent. Math. 209 (2017)] has introduced a generalized preprojective algebra associated to and $…