
richard bruyer

richard dagobert bruyer (fibravari 10,1901-april 17,1977) pramukha german mariyu american ganita shaastravetta. ayana pradhanamgaa nairoopya beejaganitamlo panicheesaaru, conny sankhya siddhaantaaniki mukhyamaina sahakaram andinchaaru. ayana modular praatinidhya siddhaantam sthaapakudu.
vidya mariyu vrutti.
alfred bruyer richard sodarudu mariyu edu samvatsaraalu peddavaadu. vaaru oka yoodu kutumbamlo janminchaaru. iddaroo sains mariyu ganitamlo aasakti kaligi unnaaru, conny modati prapancha yuddhamlo poraatamlo alfred gayapaddadu. baludiga, richard aavishkarta kaavaalani kalalu kannaru, 1919 fibravarilo technishe hochshul berlin-charlotenberglo cheraaru. athanu ventane berlin vishwavidhyaalayaaniki badilee ayyadu. 1920 vesavilo freeberg vishwavidhyaalayamlo chaduvukunnappudu tappa, athanu berlinlo chaduvukunnadu, 1926 marchi 16naa thana Phdని andukunnadu. ishay shur oka seminaarnu nirvahinchi 1921loe alfred mariyu richard kalisi panichesi, phalitaanni prachurinchaaru. adhe samayamlo heinz hopef kooda eee samasyanu parishkarinchaaru. richard thana theesisnu shur kinda vrasadu, idhi nijamaina orthogonal (bhramanam) samuuhaala irreducible, nirantara, parimita-dimensional praatinidhyaalaku beejaganita vidhananni andistundi.
ilse kargar berlin vishwavidhyaalayamlo ganitaanni kooda abhyasinchaaru; aame mariyu bruyer 1925 september 17naa vivaham chesukunnaru. vaari kumaarulu georg ulrich (1927loe janminchaaru) mariyu fred gunther (1932loe janminchaaru) kooda ganita saastravettalu ayyaru. bruyer thana bodhanaa vruttini conigsburg (ippudu kaliningrad) loe konrad naap sahayakudiga praarambhinchaadu. conigsburglo unnappudu bruyer oka khachitamaina kshetrampai kendra vibhajana algibralanu vivarinchaadu; atuvanti algibrala yokka isomorphism taragatulu athanu pravesapettina bruyer samuuham yokka amsaalanu yerparustaayi.
1933loe naajii party baadhyatalu sweekarinchinappudu, sthaanabhramsham chendina videshee panditula sahayamtho atyavasara kamitee dhairyavanthulaku mariyu itara yoodu saastravettalaku sahayam cheyadaaniki charya teesukundi. bruyarku kentucky vishwavidhyaalayamlo assistant professor padavini andinchaaru. bruyer eee pratipaadananu angeekarinchaadu, 1933 chivari natiki athanu lexington, kentakeelo aanglamlo bodhistunnadu. ilse taruvaati samvatsaram georg mariyu fredto kalisi vellaadu; sodarudu alfred 1939loe united statesku cherukunnadu, conny vaari sodari alyse holocastlo champabaddaru.
1934loe prinsetton institute pharr advanced studylo ataniki sahayam cheyadaaniki herman wheel bruyernu ahvaninchadu. bruyer mariyu nathan jacobson wheel yokka upanyaasaalanu "nirantara samuuhaala nirmaanam mariyu praatinidhyam" nuu savarinchaaru. emmy nother prabhavam dwara, brour nuu adhyapaka padavini chepattadaaniki torranto vishwavidhyaalayaaniki aahvaninchaaru. thana graduate vidyaarthi sessil zhe. nesbit 1937loe prachurinchabadina modular praatinidhya siddhaantaanni abhivruddhi chesaadu. robbert steinberg, steffen orther gennings mariyu ralf stanton kooda torrentolo bruyer yokka vidyaarthulu. bruyer algebrala praatinidhyaalapai tadasi nakayaamaato antarjaateeya parisoedhananu kooda nirvahinchaadu. 1941loe wisconsin vishwavidyaalayam sandarsaka professor bruyarku aatidhyam ichindi. marusati samvatsaram ayana emil artin bodhistunna indianaloni institute pharr advanced studdy und bloomington nuu sandarsinchaaru.
1948loe, bruyer, athanu mariyu robbert emm kalisi mishigaanlooni aann aarbarku vellaaru. michigaon vishwavidhyaalayamlo aadhunika beejaganitamlo kaaryakramaaniki throll dohadapadindi.
1952loe, bruyer haarvard vishwavidyaalayam adhyaapakulalo chaeri 1971loe padavee viramana chesaaru. athani vidyaarthulaloo donald zaan levis, donald pasman mariyu ii. martin isacs. bruyer 1954loe american academy off arts und sciences, 1955loe united states national academy off sciences, 1974loe american taatvika samaajaaniki ennikayyaaru. bruyerlu tarachugaa reinhold bair, verner wolfgang rogosinsky, carle ludwig seagel vanti vaari snehitulanu chuudataaniki prayaaninchaaru.
ganita shaastram pani.
aneka siddhaantaalu athani paerunu kaligi unnaayi, veetilo bruyer yokka prerana siddhaantam, idhi sankhya siddhaantamlo alaage parimita samuuha siddhaantamlo anuvartanaalanu kaligi undhi, mariyu daani samuuha aksharaala siddhaantaaniki kendramgaa unna aksharaala yokka parinaamaatmaka bruyer yokka lakshanaala varnana.
1956loe prachurinchabadina bruyer-foular siddhaantam, taruvaata parimita saadhaarana samuuhaala vargeekaranaku gananeeyamaina prerananu andinchindi, endukante idhi oka involution (arder 2 yokka moolakam) yokka kendrakaaniki nirdishta nirmaanaanni kaligi unna aneka parimita saadhaarana samuuhaalu matrame undavacchani suuchistumdi.
group aksharaala gurinchi, mukhyamgaa thana moodu pradhana siddhaantaala dwara suukshma samacharanni pondadaaniki bruyer modular praatinidhya siddhaantaanni vartimpajesaadu. eee paddhatulu takkuva rank gala 2-upa samuuhaalatoe parimita saadhaarana samuuhaala vargeekaranalo mukhyamgaa upayogapaddaayi. bruyer-suzuki siddhaantam yea parimita saadhaarana samuuhaaniki saadhaaraneekarinchina quaternian sailo 2-upa samuuham undadani choopinchindi, mariyu alperin-bruyer-gorenstein siddhaantam parimita samuuhaalanu breeded ledhaa quasidehedral sailo 2-upa samuuhaalatoe vargeekarinchindi. vargeekarana kaaryakramaaniki itarulu chesina sahakaaramlo bruyer abhivruddhi chesina paddhatulu kooda keelaka paatra poeshinchaayih udaaharanaku, gorenstein-walter siddhaantam, diheadral sailo 2-upasamuuhamtoe parimita samuuhaalanu vargeekarinchadam, mariyu glaberman yokka z * siddhaantam. oka chakriya lopam samuuhamtoe kuudina block siddhaantam, modata pradhana block lopam samuuham "p" unnappudu bruyer dwara roopondinchabadindi, taruvaata puurti saadhaaraneekaranhatho e dwara roopondinchabadindi. sii. dade, samuuha siddhaantaaniki aneka anuvartanaalanu kaligi undhi, udaaharanaku chinna parimaanamlo sanklishta sankhyalapai maatrikala parimita samuuhaalaku. bruyer chettu anedi chakriya lopam samuuhamtoe kuudina oka blaakuku anubandhinchabadina oka samyukta vastuvu, idhi block yokka nirmaanam gurinchi chaalaa samacharanni encode chestundi.
1970loe aayanaku jaateeya vignaana patakam labhinchindi.
hyper complexes sankhyalu.
edward adhyayanam 1898loe clains encyclopedia kosam hyper complexes sankhyalapai oka vyaasam rasindi. eee vyaasam 1908loe henry carton dwara french bhasha sanchika kosam vistarinchabadindi. 1930la natiki adhyayanam yokka kathanaanni naveekarinchaalsina avasaram spashtamgaa kanipinchindi, mariyu project kosam amsampai vraayadaaniki bruyernu niyaminchaaru. 1936loe thana manuscriptnu torantolo bruyer tayaaru chesinappudu, adhi prachuranaku aamodinchabadinappatiki, rajakeeyaalu mariyu yuddham jokyam chesukunnayi. ayinappatikee, bruyer thana manuscriptnu 1940,1950 mariyu 1960 laloe unchaaru, mariyu 1979 loe dheenini japaanlooni okaamaa vishwavidyaalayam prachurinchindi. idhi athani "sekarinchina patraala" modati samputamlo maranaanantaram paper #22 gaa kooda kanipinchindi. ayana paeru "beejaganitam derr hyper complexion jahlensistem (algibrane)". anveshanhaathmakamaina adhyayanam mariyu carton dwara vyasala maadirigaa kakunda, bruyer yokka vyaasam daani saarvatrika kavarejeetho aadhunika nairoopya beejaganitam paatamgaa chaduvutundi. ayana parichayaanni pariseelinchandih
1929loe conigsburglo unnappudu, bruyer ganita saastramlo oka kathanaanni prachurinchaadu, idhi pradhanamgaa samagra domainlu (nultilerfree system) mariyu taruvaata torrentolo upayoginchina kshetra siddhaantaaniki sambandhinchinadi.