具有Klein四亏群的块等价的下降
Descent of equivalences for blocks with Klein four defect groups
摘要：
我们证明了Rickard和Linkelmann构造的具有Klein四亏群的块的Rickard复形下降到非分裂域。作为一个推论，Navarro对Alperin-McKay猜想的精化对于具有Klein四亏群的块成立。我们还证明了辉煌的森田等价块和他们的布劳尔对应（如果存在）下降到非分裂的情况。
英文摘要：
We show that the splendid Rickard complexes for blocks with Klein four defect groups constructed by Rickard and Linckelmann descend to non-split fields. As a corollary, Navarro's refinement of the Alperin-McKay conjecture holds for blocks with a Klein four defect group. We also prove that splendid Morita equivalences between blocks and their Brauer correspondents (if exist) descend to non-split situations.
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