翻訳と辞書
Words near each other
・ Jantina Hellingmolen, Aalden
・ Jantina Tammes
・ Jantirar
・ Jantoniów
・ Jantony Ortiz
・ Jantra
・ Jantsangiin Gantögs
・ Janty Yates
・ Jantzen
・ Jantzen & Thormählen
・ Jantzen (disambiguation)
・ Jantzen Beach Amusement Park
・ Jantzen Beach Seaplane Base
・ Jantzen Beach SuperCenter
・ Jantzen Derrick
Jantzen filtration
・ Jantzen Knitting Mills Company Building
・ Jantzer Airport
・ Jantzi Social Index
・ Janu
・ Janu clan
・ Janu the Jungle Boy
・ Janu Tornell
・ Janua
・ Janua linguarum reserata
・ Janua pagenstecheri
・ Januar
・ Januaria (disambiguation)
・ Januarie
・ Januario Antonio de Carvalho


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Jantzen filtration : ウィキペディア英語版
Jantzen filtration
In algebra, a Jantzen filtration is a filtration of a Verma module of a semisimple Lie algebra, or a Weyl module of a reductive algebraic group of positive characteristic. Jantzen filtrations were introduced by .
==Jantzen filtration for Verma modules==

If ''M''(λ) is a Verma module of a semisimple Lie algebra with highest weight λ, then the Janzen filtration is a decreasing filtration
:M(\lambda)=M(\lambda)^0\supseteq M(\lambda)^1\supseteq M(\lambda)^2\supseteq\cdots.
It has the following properties:
*''M''(λ)1 is the maximal proper submodule of ''M''(λ)
*The quotients ''M''(λ)''k''/''M''(λ)''k''+1 have non-degenerate contravariant bilinear forms.
* \sum_\text(M(\lambda)^i) = \sum_\text(M(s_\alpha(\lambda)))
: (the Jantzen sum formula)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Jantzen filtration」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.