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pro vyhledávání: '"Miller Sam"'
Autor:
Miller, Sam J.
Publikováno v:
Fantasy & Science Fiction. Nov/Dec2022, Vol. 143 Issue 5/6, p165-182. 18p.
Autor:
Miller, Sam K.
Endosplit $p$-permutation resolutions play an instrumental role in verifying Brou\'{e}'s abelian defect group conjecture in numerous cases. In this article, we give a complete classification of endosplit $p$-permutation resolutions and reduce the que
Externí odkaz:
http://arxiv.org/abs/2408.04094
Autor:
Miller, Sam K.
We strengthen the results of Boltje and Yilmaz regarding the Galois descent of equivalences of blocks of $p$-nilpotent groups and a result of Kessar and Linckelmann regarding Galois descent of splendid Rickard equivalences for blocks with compatible
Externí odkaz:
http://arxiv.org/abs/2405.16061
Autor:
Styles, Olly, Miller, Sam, Cerda-Mardini, Patricio, Guha, Tanaya, Sanchez, Victor, Vidgen, Bertie
We introduce WorkBench: a benchmark dataset for evaluating agents' ability to execute tasks in a workplace setting. WorkBench contains a sandbox environment with five databases, 26 tools, and 690 tasks. These tasks represent common business activitie
Externí odkaz:
http://arxiv.org/abs/2405.00823
Autor:
Miller, Sam K.
Let $G$ be a finite group and $k$ a field of prime characteristic $p$. We give a complete classification of endotrivial complexes, i.e. determine the Picard group $\mathcal{E}_k(G)$ of the tensor-triangulated category $K^b({}_{kG}\mathbf{triv})$ rece
Externí odkaz:
http://arxiv.org/abs/2403.04088
Autor:
Miller, Sam K.
Let $G$ be a finite group and $k$ be a field of characteristic $p > 0$. In prior work, we studied endotrivial complexes, the invertible objects of the bounded homotopy category $K^b({}_{kG}\mathbf{triv})$ of $p$-permutation $kG$-modules. Using the no
Externí odkaz:
http://arxiv.org/abs/2402.08042
Autor:
Breland, Jadyn V., Miller, Sam K.
We define the notion of a Brauer pair of a chain complex, extending the notion of a Brauer pair of a $p$-permutation module introduced by Boltje and Perepelitsky. In fact, the Brauer pairs of a splendid Rickard complex $C$ coincide with the set of Br
Externí odkaz:
http://arxiv.org/abs/2312.10258
Autor:
Miller, Sam K.
Let $G$ be a finite group, $p$ a prime, and $k$ a field of characteristic $p$. We introduce the notion of an endotrivial chain complex of $p$-permutation $kG$-modules, which are the invertible objects in the bounded homotopy category of $p$-permutati
Externí odkaz:
http://arxiv.org/abs/2309.12138