Nilpotence and generation in the stable module category
| Autor: | David J. Benson, Jon F. Carlson |
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| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Modular representation theory Algebra and Number Theory Degree (graph theory) Homotopy 010102 general mathematics Algebraic geometry Stable module category 01 natural sciences Stable homotopy theory Tensor (intrinsic definition) 0103 physical sciences 010307 mathematical physics Finitely-generated abelian group 0101 mathematics Mathematics |
| Zdroj: | Journal of Pure and Applied Algebra. 222:3566-3584 |
| ISSN: | 0022-4049 |
| Popis: | Nilpotence has been studied in stable homotopy theory and algebraic geometry. We study the corresponding notion in modular representation theory of finite groups, and apply the discussion to the study of ghosts, and generation of the stable module category. In particular, we show that for a finitely generated kG -module M , the tensor M -generation number and the tensor M -ghost number are both equal to the degree of tensor nilpotence of a certain map associated with M . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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