English

Homomorphisms between scalar Vema modules of ${\mathfrak gl}(n, {\mathbb C})$

Representation Theory 2015-02-25 v2

Abstract

In this article, we classify the homomorphisms between scalar generalized Verma modules of gl(n,C){\mathfrak gl}(n, {\mathbb C}). In fact such homomorphisms are compositions of elementary homomorphisms.

Cite

@article{arxiv.1404.5347,
  title  = {Homomorphisms between scalar Vema modules of ${\mathfrak gl}(n, {\mathbb C})$},
  author = {Hisayosi Matumoto},
  journal= {arXiv preprint arXiv:1404.5347},
  year   = {2015}
}

Comments

22 pages, we fixed some typos and added an illustrative example for the proof of the main theorem

R2 v1 2026-06-22T03:55:17.401Z