1 citations · 1 across the 4 of their papers we have counts for
11 papers
Microlocalization of Ind-sheaves
M. Kashiwara, Pierre Schapira, F. Ivorra +1
Let X be a C-infinity manifold. We construct a microlocalization functor from the derived category of bounded complexes of ind-sheaves on X to the one on the cotangent bundle…
A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra U_q(sl_{2}^)
B. Feigin, M. Jimbo, M. Kashiwara +3
Let (resp., ) be a fundamental integrable highest (resp., lowest) weight module of . The tensor product is filtered by…
Crystal Bases for Quantum Generalized Kac-Moody Algebras
Kyeonghoon Jeong, Seok-Jin Kang, Masaki Kashiwara
In this paper, we develop the crystal basis theory for quantum generalized Kac-Moody algebras. For a quantum generalized Kac-Moody algebra , we first introduce th…
Involutivity of truncated microsupports
Masaki Kashiwara, Teresa Monteiro Fernandes, Pierre Schapira
Using a result of J-M. Bony, we prove the weak involutivity of truncated microsupports. More precisely, given a sheaf on a real manifold and an integer , if two functions va…
Realizations of Crystals
Masaki Kashiwara
We shall give various realizations of crystals. One of them is a monome realization introduced by Nakajima.
Microlocal study of ind-sheaves I: micro-support and regularity
Masaki Kashiwara, Pierre Schapira
We define the notions of micro-support and regularity for ind-sheaves, and prove their invariance by contact transformations. We apply the results to the ind-sheaves of temperate h…