M. Kashiwara

activity

19982004

most citedMicrolocalization of Ind-sheaves

1 citations · 1 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.QA2003

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 $V (Λ_{i})$ (resp., $V (- Λ_{j})$ ) be a fundamental integrable highest (resp., lowest) weight module of $U_{q} (s l^_{2})$ . The tensor product $V (Λ_{i}) \otimes V (- Λ_{j})$ is filtered by…

math.QA2003

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 $U_{q} (g)$ , we first introduce th…

math.QA2002

Realizations of Crystals

Masaki Kashiwara

We shall give various realizations of crystals. One of them is a monome realization introduced by Nakajima.

math.QA1998

Crystal Bases for the Quantum Superalgebra $U_{q} (g l (m, n))$

Georgia Benkart, Seok-Jin Kang, Masaki Kashiwara

We develop a crystal base theory for the general linear Lie superalgebra $g l (m, n)$ . We prove that any irreducible $U_{q} (g l (m, n))$ -module in some category has a crystal base, and pro…

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}^)

Crystal Bases for Quantum Generalized Kac-Moody Algebras

Realizations of Crystals

Crystal Bases for the Quantum Superalgebra Uq​(gl(m,n))

Crystal Bases for the Quantum Superalgebra $U_{q} (g l (m, n))$