| 词条 | Compatible system of ℓ-adic representations |
| 释义 |
In number theory, a compatible system of ℓ-adic representations is an abstraction of certain important families of ℓ-adic Galois representations, indexed by prime numbers ℓ, that have compatibility properties for almost all ℓ. ExamplesPrototypical examples include the cyclotomic character and the Tate module of an abelian variety. VariationsA slightly more restrictive notion is that of a strictly compatible system of ℓ-adic representations which offers more control on the compatibility properties. More recently, some authors[1] have started requiring more compatibility related to p-adic Hodge theory. ImportanceCompatible systems of ℓ-adic representations are a fundamental concept in contemporary algebraic number theory. Notes1. ^Such as {{harvnb|Taylor|2004}} References
| last=Serre | first=Jean-Pierre | author-link=Jean-Pierre Serre | others=with the collaboration of Willem Kuyk and John Labute | title=Abelian l-adic representations and elliptic curves | publisher=A K Peters | location=Wellesley, MA | year=1998 | origyear=1968 | series=Research Notes in Mathematics | volume=7 | isbn=978-1-56881-077-5 | mr=1484415 }}
| last=Taylor | first=Richard | author-link=Richard Taylor (mathematician) | title=Galois representations | journal=Annales de la Faculté des Sciences de Toulouse |series=6 | volume=13 | issue=1 | year=2004 | pages=73–119 | mr=2060030 }}{{DEFAULTSORT:Compatible system of l-adic representations}} 1 : Algebraic number theory |
| 随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。