levy vighatan

laay siddhant aanee pratinidhitva siddhantat, wilheim killing aanee ellie kartandware andajit aanee siddha kelele levy apghatan asey sangate qee konatehi maryadit-aayami vastavik (vastavik khote bijganitala 0 chya kshetravaril khote bijganitat badala) khote bijganit 'jee' heey nirakaran karnyayogya aadarsh aanee ardh-sope up-bijganitache ardh-thet utpadan aahe.
eka mhanje tyache radical, eka kamal nirakaran karnyayogya aadarsh, aanee dusare mhanje ardh-sope up-bijganit, jyala levy up-bijganit mhanatat. levy vighatan asey soochit karate qee konatehi maryadit-aayami khote bijganit heey nirakaran karnyayogya khote bijganit aanee ardh-sope khote bijganit yanche ardh-thet utpadan aahe.
jevha 'jee' chaa ghatak-bijganit mhanoon pahile jaate, tevha yaa ardh-sadhya khote bijganitala 'jee' chaa levy ghatak dekhil mhanatat. kahee pramanat, yaa vighatanacha vapar maryadit-aayami khote algebra aanee khote gut yanchya samasya qamee karnyasathi yaa done vishesh varganmadhye khote algebrachya samasya vegalya karnyasathi keela jaau shakato, nirakaran karnyayogya aanee ardh-sope.
yavyatirikt, malsevne (1942) dakhavun dile qee konatehi done levy subulgebra heey yaa swarupachya (aateel) automorphismdware sanyugmit hotat.
jethe "zed" heey nilradical (levy-malsev pramey) madhye aahe.
sahyogi algebrasathi eka samaan parinam vaidh asato aanee tyala wederburn mukhya pramey mhanatat.
parinamanchi mudatvadh.
pratinidhitva siddhantat, tathakathit parabolic prerit pratinidhitvanche mothe kutumb tayar karnyasathi reductive gatachya parabolic upasamuhanche levy vighatan aavashyak aahe. yaa sandarbhat vaparlya jaanarya parabolic upasamuhansathi langlandsche vighatan heey levhichya vighatanamadhye thodese sudharana aahe.
samaan vidhane, fakt jodalelya khote gatansathi aanee george mosto yanni darshavilyapramane, bijganitiy khote algebra aanee vaishishtyapurn shoonyachya kshetravar fakt jodalele bijganitiy gatansathi aahet.
bahutek anant-aayami khote algebransathi levy vighatanche konatehi anuroop nahee; udaharanarth, affine khote aljebramadhye tyanchya kendrasah mooldravya asate, parantu teey kendrache ardh-nirdeshit utpadan aanee dusare khote bijganit mhanoon lihile jaau shakat nahee. sakaratmak vaishishtyanchya kshetranvar maryadit-aayami algebrasathi dekhil levy vighatan ayashasvi hote.

