棒复形与经典指数函子的扩张
Bar complexes and extensions of classical exponential functors
摘要：
我们计算经典指数函子（即对称，外部或除幂）和它们的Frobenius扭曲之间的Ext群。我们的方法依赖于酒吧的建设，并桥梁这些Ext群的同调的Eilenberg-Mac巷空间。与文章“Troesch复形和扭曲谱序列“（arXiv 1005.3133）一起，本文提供了域上严格多项式函子范畴中经典Ext计算的另一种方法。我们还获得了显着的外计算严格多项式函子的整数。
英文摘要：
We compute Ext-groups between classical exponential functors (i.e. symmetric, exterior or divided powers) and their Frobenius twists. Our method relies on bar constructions, and bridges these Ext-groups with the homology of Eilenberg-Mac Lane Spaces. Together with the article "Troesch complexes and the twisting spectral sequence" (arXiv 1005.3133), this article provides an alternative approach to classical Ext-computations in the category of strict polynomial functors over fields. We also obtain significant Ext-computations for strict polynomial functors over the integers.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
