Iwasawa Theory Projective Modules and Modular Representations is popular PDF and ePub book, written by Ralph Greenberg in 2010, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Iwasawa Theory Projective Modules and Modular Representations can be Read Online from any device for your convenience.
Iwasawa Theory Projective Modules and Modular Representations Book PDF Summary
This paper shows that properties of projective modules over a group ring $\mathbf{Z}_p[\Delta]$, where $\Delta$ is a finite Galois group, can be used to study the behavior of certain invariants which occur naturally in Iwasawa theory for an elliptic curve $E$. Modular representation theory for the group $\Delta$ plays a crucial role in this study. It is necessary to make a certain assumption about the vanishing of a $\mu$-invariant. The author then studies $\lambda$-invariants $\lambda_E(\sigma)$, where $\sigma$ varies over the absolutely irreducible representations of $\Delta$. He shows that there are non-trivial relationships between these invariants under certain hypotheses.
Detail Book of Iwasawa Theory Projective Modules and Modular Representations PDF
- Author : Ralph Greenberg
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821849316
- Genre : Mathematics
- Total Page : 198 pages
- Language : English
- PDF File Size : 15,9 Mb
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