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Simplicity of heads and socles of tensor products

  • Seok-Jin Kang (a1), Masaki Kashiwara (a2) (a3), Myungho Kim (a4) and Se-jin Oh (a5)

Abstract

We prove that, for simple modules $M$ and $N$ over a quantum affine algebra, their tensor product $M\otimes N$ has a simple head and a simple socle if $M\otimes M$ is simple. A similar result is proved for the convolution product of simple modules over quiver Hecke algebras.

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References

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Simplicity of heads and socles of tensor products

  • Seok-Jin Kang (a1), Masaki Kashiwara (a2) (a3), Myungho Kim (a4) and Se-jin Oh (a5)

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