论文标题
在覆盖循环块的块上的倾斜复合物上
On tilting complexes over blocks covering cyclic blocks
论文作者
论文摘要
令$ p $为质量数字，$ k $一个特征性$ p $，$ \ tilde {g} $的代数封闭的字段，有限群和$ g $ a $ \ tilde {g} $具有$ p $ - p $ -power index in $ \ tilde {g} $。此外，让$ b $是$ kg $的块，带有环状缺陷组，$ \ tilde {b} $是$ k \ tilde {g} $覆盖$ b $的唯一块。我们在块$ \ tilde {b} $上研究倾斜复合物，并证明块$ \ tilde {b} $是倾斜discrete代数。此外，我们表明，在$ \ tilde {b} $上的所有倾斜复合物的集合与部分订购的集合相对于$ b $以上。
Let $p$ be a prime number, $k$ an algebraically closed field of characteristic $p$, $\tilde{G}$ a finite group, and $G$ a normal subgroup of $\tilde{G}$ having a $p$-power index in $\tilde{G}$. Moreover let $B$ be a block of $kG$ with a cyclic defect group and $\tilde{B}$ be the unique block of $k\tilde{G}$ covering $B$. We study tilting complexes over the block $\tilde{B}$ and show that the block $\tilde{B}$ is a tilting-discrete algebra. Moreover we show that the set of all tilting complexes over $\tilde{B}$ is isomorphic to that over $B$ as partially ordered sets.
