Erratum: “Whittaker pairs for the Virasoro algebra and the Gaiotto-Bonelli-Maruyoshi-Tanzini states” [J. Math. Phys.53, 033504 (2012)]
Erratum: “Whittaker pairs for the Virasoro algebra and the Gaiotto-Bonelli-Maruyoshi-Tanzini states” [J. Math. Phys.53, 033504 (2012)]
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DOI:
10.1063/1.4771670
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发表时间:
2012-12
影响因子:
1.3
通讯作者:
Ewa Felińska;Z. Jaskólski;M. Kosztołowicz
中科院分区:
文献类型:
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作者:
Ewa Felińska;Z. Jaskólski;M. Kosztołowicz
A flow in the formulation and proof of Lemma 2.7 of E. Felinska, Z. Jaskolski, and M. M. Kosztolowicz, J. Math. Phys. 53, 033504 (2012) is fixed in Sec. I of this Erratum. This has no consequences for the rest of the paper. An essential error was made in Theorems 3.5, 3.6, and Corollary 3.7 of Sec. III of E. Felinska, Z. Jaskolski, and M. M. Kosztolowicz, J. Math. Phys. 53, 033504 (2012). As it was pointed out by V. Mazorchuk and K. Zhao [“Simple Virasoro modules which are locally finite over positive part,” e-print arXiv:1205.5937v2 [math.RT]] they are valid only in the very limited case of n = 3. In order to introduce necessary correction we have rewritten a part of Sec. III after Theorem 3.3. This is presented in Sec. II of this Erratum.