发表机构
Chiba University（千叶大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究将模群代数投射直和项重数的互反性，经有限维对称代数推广到任意有限维代数，通过稳定与余稳定范畴的张量-Hom伴随完成推广。
AI 中文摘要
模群代数的投射直和项重数间的互反性已为人所知数十年，第一作者近期将其推广到有限维对称代数，我们通过建立稳定与余稳定范畴的张量- Hom伴随，进一步将该互反定理推广到任意有限维代数。
英文摘要
A reciprocity between multiplicities of projective direct summands for modular group algebras has been known for decades. Recently, the first author extended it to finite-dimensional symmetric algebras. We further generalize the reciprocity theorem to arbitrary finite-dimensional algebras by establishing a tensor-hom adjunction for stable and costable categories.
Comments8 pages
