Generalized Weyl modules for twisted current algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 2, pp. 284-306

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We introduce the notion of generalized Weyl modules for twisted current algebras. We study their representation-theoretic and combinatorial properties and also their connection with nonsymmetric Macdonald polynomials. As an application, we compute the dimension of the classical Weyl modules in the remaining unknown case.
Keywords: Weyl module
Mots-clés : affine algebra.
@article{TMF_2017_192_2_a7,
     author = {E. A. Makedonskii and E. B. Feigin},
     title = {Generalized {Weyl} modules for twisted current algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {284--306},
     publisher = {mathdoc},
     volume = {192},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_192_2_a7/}
}
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E. A. Makedonskii; E. B. Feigin. Generalized Weyl modules for twisted current algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 2, pp. 284-306. http://geodesic.mathdoc.fr/item/TMF_2017_192_2_a7/