Constructing Homomorphisms between Verma Modules
Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 415-428
We describe a practical method for constructing a nontrivial homomorphism between two Verma modules of an arbitrary semisimple Lie algebra. With some additions the method generalises to the affine case.
DOI:
10.5802/jolt.383
Classification:
17B10, 17-04, 17-08
Keywords: Semisimple Lie algebras, Verma modules, algorithms
Keywords: Semisimple Lie algebras, Verma modules, algorithms
@article{JOLT_2005_15_2_a3,
author = {W. A. d. Graaf},
title = {Constructing {Homomorphisms} between {Verma} {Modules}},
journal = {Journal of Lie Theory},
pages = {415--428},
year = {2005},
volume = {15},
number = {2},
doi = {10.5802/jolt.383},
zbl = {1064.17004},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.383/}
}
W. A. d. Graaf. Constructing Homomorphisms between Verma Modules. Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 415-428. doi: 10.5802/jolt.383
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