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| MAURER-CARTAN EQUATION OF A_∞-ALGEBRAS | |
| 作者姓名： | He JiweiDept.of Math. Zhejiang Univ. Hangzhou China. Dept.of Math. Shaoxing College of Arts and Science Shaoxing China. |
| 作者单位： | He JiweiDept.of Math.，Zhejiang Univ.，Hangzhou 310028，China. Dept.of Math.，Shaoxing College of Arts and Science，Shaoxing 312000，China. |
| 摘 要： | § 0 IntroductionA∞ - algebras were first introduced and applied by Stasheff in 12 ,13].Recently,theyappeared in both mathematics and mathematical physics1 ,5— 8,1 0 ] .An A∞ - algebra is a Z-graded vector space over a fixed field k with a sequence of graded maps mn∶ A n→ A ofdegree n- 2 (n≥ 1) satisfying certain axioms (see 5 ,6 ,12 ,13]) .In this paper,we focusour attentions on,as we call,the minimal A∞ - algebras,which are usual A∞ - algebrasdefined in 5 ,6 ,12 ,13]with m1 =… |
| 关 键 词： | minimal A ∞ algebra Maurer Cartan equation Massey F product infinitesimal multiplication integrability. |
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