Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction

Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction
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与量化德林菲尔德-索科洛夫约简相关的上同调消失

DOI:
10.1155/s1073792804132479
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发表时间:
2003
影响因子:
1
通讯作者:
T. Arakawa
T. Arakawa
中科院分区:
数学1区
文献类型:
--
作者:
T. Arakawa

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我们证明了由FeĬgin和Frenkel以及Frenkel、Kac和Wakimoto引入的两个量子化的Drinfeld-Sokolov约化(“+”和“-”约化)引起的上同调的消失定理。结果证明了Frenkel、Kac和Wakimoto的消失猜想对“−”约化和对“+”约化的部分证明。
We prove a vanishing theorem of the cohomology arising from the two quantized Drinfeld-Sokolov reductions (“+” and “−” reductions) introduced by FeĬgin and Frenkel, and by Frenkel, Kac, and Wakimoto. As a consequence, the vanishing conjecture of Frenkel, Kac, and Wakimoto is proved for the “−” reduction and partially for the “+” reduction.
DOI: 10.1073/pnas.85.14.4956
发表时间: 1988-07
影响因子: 11.1
作者:
V. Kac;M. Wakimoto
通讯作者: V. Kac;M. Wakimoto