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Global bases for Bosonic extensions of quantum unipotent coordinate rings
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
In the paper, we establish the global basis theory for the bosonic extension associated with an arbitrary generalized Cartan matrix. When $\widehat{\mathcal…
Localizations for quiver Hecke algebras III
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
Let be a quiver Hecke algebra, and let be the category of finite-dimensional graded -module categorifying a -deformation of the doubly-invariant algeb…
Localizations for quiver Hecke algebras II
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We prove that the localization of the monoidal category is rigid, and the category admits a localization via a real commuting family of central…
Braid group action on extended crystals
Euiyong Park
In the paper, we prove that there exists a braid group action on the extended crystal of finite type. The extended crystal and its braid…
Representation type of finite quiver Hecke algebras of type
Susumu Ariki, Euiyong Park
We give a graded dimension formula described in terms of combinatorics of Young diagrams and a simple criterion to determine the representation type for the finite quiver Hecke alg…
Quiver Varieties and Path Realizations arising from Adjoint Crystals of type
Seok-Jin Kang, Euiyong Park
Let be the level 1 highest weight crystal of the quantum affine algebra . We construct an explicit crystal isomorphism between the geometric realization $\…