Irreducibility criterion for tensor products of Yangian evaluation modules
Molev, A. I.
Duke Math. J., Tome 115 (2002) no. 1, p. 307-341 / Harvested from Project Euclid
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The evaluation homomorphisms from the Yangian ${\rm Y}(\mathfrak {gl}\sb n)$ to the universal enveloping algebra ${\rm U}(\mathfrak {gl}\sb n)$ allow one to regard the irreducible finite-dimensional representations of $\mathfrak {gl}\sb n$ as Yangian modules. We give necessary and sufficient conditions for irreducibility of tensor products of such evaluation modules.
Publié le : 2002-04-01
Classification:  17B37 
@article{1087575154,
     author = {Molev, A. I.},
     title = {Irreducibility criterion for tensor products of Yangian evaluation modules},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 307-341},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087575154}
}

Molev, A. I. Irreducibility criterion for tensor products of Yangian evaluation modules. Duke Math. J., Tome 115 (2002) no. 1, pp.  307-341. http://gdmltest.u-ga.fr/item/1087575154/