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时间:2020-02-29
《外代数上复杂度为2的一类线性模的非线性扩张问题.pdf》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
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2、gebrasCandidateyingwangSupervisorandRankProf.JinyunGuoCollegeMathematicsandComputationalScienceProgramFundamentalMathematicsSpecializationRepresentationTheoryofAlgebrasDegreeMasterofScienceUniversityXiangtanUniversityDateMay1th,2011‰ŒÆÆØ©M5(²3、¥AO±I5Ú^SN§Ø©Ø¹?ÛÙ¦‡<½8N®²uL½>L¤JŠ¬"é©ïĉѕ‡ z‡<Ú8N§þ®3©¥±²(•ªI²"<¿£(²{Æ Jd<«ú"Šö¶µFϵcFÆØ©‡¦^ÇÖÆØ©Šö)Æk'3!¦^ÆØ©5½§Ó¿Æ3¿•I[k'Ü€½ÅxØ©E<‡Ú>f‡§#NØ©Ú/"<ljŒÆŒ±òÆةܽܩSN?k'êâ¥?1u¢§Œ±æ^K4、.................................................IAbstract.....................................................II11ÙÚó............................................112Ùý•£........................................613Ù*ÜL«Ý.............................1214Ù*ÜÓ..........................5、........16ë•©z..................................................20—......................................................23Á‡“ê´½Â3˜‡•þ˜mVþ˜aš~•‡“ê,“ê9ÙäkérA^µ,“êþ*ܯKéu(ïÄ´˜‡Ä•‡¯K.E,Ý•24Koszul,ÙL«Ýeäke/ª:01aBCBCBbaCBCBCB0baCFm(a;b)=BB........CC;B....CBCB..CB00.aC@A6、00b(m+1)mK‰E,Ý•2Ì‚•Ý•m(a;b).4Koszul.©b½V´“ê4•kþ3‘•þ˜m,=V=L(a;b;c),Ù¥a;b;c´Vþ‚5Ã'•þ,V´Vþ“ê.̇ïÄE,Ý•2Ì‚•Ý•m(a;b).4KoszulM=m 1=(a;b)†˜‡˜g)¤Ì‚•Ý•n(a;b).4‚5L*ܯK.©Ùæ^L«Ý•{,Äk?Øš‚5*ÜL«Ý,¿3dÄ:þ?Ø*ÜÓ^‡,Xė(Ø:1:MLXc¤ã,N´M/ÏuL*Ü,ŒNØ´‚5.2:eM,L,NXc¤ã0,·ÀNÝ7、©)1¥ÝÄ,Œ¦Ft(a;b)0tt@m(m+t)(n+t 1)A¥Cttf(N)¤éAÝF(N)=k/ªC=CtFt(a;b)n01( 1)t 1K10(n+1)(t 1)Ktbc0,kKt=@A.(n+t)10(t 1)(m 1)0(t 1)(t 1)3:M;L;H(t)(t=1;2)Xc¤ã,N;N©O´M;Lü‡š‚5*Ü12,XJ•3k¥ƒt;t;!t;e;e0;kt÷vXe^‡:i;ji;ji;ji;j1)1= 2+2;2)1 1= 2+2;1;j1;j1;j+1i;ji+1;j+1
3、¥AO±I5Ú^SN§Ø©Ø¹?ÛÙ¦‡<½8N®²uL½>L¤JŠ¬"é©ïĉѕ‡ z‡<Ú8N§þ®3©¥±²(•ªI²"<¿£(²{Æ Jd<«ú"Šö¶µFϵcFÆØ©‡¦^ÇÖÆØ©Šö)Æk'3!¦^ÆØ©5½§Ó¿Æ3¿•I[k'Ü€½ÅxØ©E<‡Ú>f‡§#NØ©Ú/"<ljŒÆŒ±òÆةܽܩSN?k'êâ¥?1u¢§Œ±æ^K
4、.................................................IAbstract.....................................................II11ÙÚó............................................112Ùý•£........................................613Ù*ÜL«Ý.............................1214Ù*ÜÓ..........................
5、........16ë•©z..................................................20—......................................................23Á‡“ê´½Â3˜‡•þ˜mVþ˜aš~•‡“ê,“ê9ÙäkérA^µ,“êþ*ܯKéu(ïÄ´˜‡Ä•‡¯K.E,Ý•24Koszul,ÙL«Ýeäke/ª:01aBCBCBbaCBCBCB0baCFm(a;b)=BB........CC;B....CBCB..CB00.aC@A
6、00b(m+1)mK‰E,Ý•2Ì‚•Ý•m(a;b).4Koszul.©b½V´“ê4•kþ3‘•þ˜m,=V=L(a;b;c),Ù¥a;b;c´Vþ‚5Ã'•þ,V´Vþ“ê.̇ïÄE,Ý•2Ì‚•Ý•m(a;b).4KoszulM=m 1=(a;b)†˜‡˜g)¤Ì‚•Ý•n(a;b).4‚5L*ܯK.©Ùæ^L«Ý•{,Äk?Øš‚5*ÜL«Ý,¿3dÄ:þ?Ø*ÜÓ^‡,Xė(Ø:1:MLXc¤ã,N´M/ÏuL*Ü,ŒNØ´‚5.2:eM,L,NXc¤ã0,·ÀNÝ
7、©)1¥ÝÄ,Œ¦Ft(a;b)0tt@m(m+t)(n+t 1)A¥Cttf(N)¤éAÝF(N)=k/ªC=CtFt(a;b)n01( 1)t 1K10(n+1)(t 1)Ktbc0,kKt=@A.(n+t)10(t 1)(m 1)0(t 1)(t 1)3:M;L;H(t)(t=1;2)Xc¤ã,N;N©O´M;Lü‡š‚5*Ü12,XJ•3k¥ƒt;t;!t;e;e0;kt÷vXe^‡:i;ji;ji;ji;j1)1= 2+2;2)1 1= 2+2;1;j1;j1;j+1i;ji+1;j+1
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