MAURER-CARTAN EQUATION OF A_∞-ALGEBRAS
MAURER-CARTAN EQUATION OF A_∞-ALGEBRAS
摘要
The axioms of A ∞ algebras can be written as Maurer Cartan equation.Infi nitesimal multiplication of a graded associative algebra is defined and the integrability of infinitesimal multiplication is discussed through the Massey F product.
The axioms of A ∞ algebras can be written as Maurer Cartan equation.Infi nitesimal multiplication of a graded associative algebra is defined and the integrability of infinitesimal multiplication is discussed through the Massey F product.
参考文献15
-
1Alexandrov, M. , Kontsevich, M. , Schwarz, A. , et al. , The geometry of the master equation and topological quantum field theory,Int. J. Modern Phys. ,1997,A12:1405-1423.
-
2Barletta, E. , Dragomir, S. , On g-Lie foliations with transverse CR structure, Rendiconti di Matematica ,Serie Ⅶ,Roma, 1996,16 : 169-188.
-
3Fuchs ,D. ,Lang ,L. ,Massey products and deformations ,J. Pure Appl. Algebra, 2001,156:215-229.
-
4Gerstenhaber, M. , The cohomology structure of an associative ring, Ann. of Math. , 1963,78 : 267-288.
-
5Keller,B. ,Introduction to A-infinity algebras and modules,Homology,Homotopy and Applications,2001,3:1-35.
-
6Keller,B. ,Bimodule complexes via strong homotopy action, Algebras and Representation Theory,2000,3:357-376.
-
7Kontsevich, M., Feynman diagrams and low dimensional topology, First European Congress of Mathematics ,Paris, 1992 ,Birkhauser Basel, 1994,97-121.
-
8Merkulov,S. A. ,Strong homotopy algebras of a Kahler manifold,Internat. Math. Res. Notices,1999, 3:153-164.
-
9Olver, P. J. , Pohjanpelto, J. , Moving frames for pseudo-Groups, I. The Maurer-Cartan Forms,University of Minnesota ,preprint, 2003 ,available at http://www. math. umn. edu/-olver
-
10Penkava, M. , Weldon, L. , Infinity algebras, Massey products, and deformations, 1998, arXiv : math-QA/9808058.
-
1苏健基.PROOF OF SLATER'S CONJECTURE ON k-CRITICAL n-CONNECTED GRAPHS[J].Chinese Science Bulletin,1988,33(20):1675-1678. 被引量：1
-
2陈学刚.一些图的关联着色(英文)[J].内蒙古师范大学学报（自然科学汉文版）,2005,34(4):404-408. 被引量：2
-
3陈学刚,王淑栋.两类笛卡尔积图的关联色数[J].山东矿业学院学报,1999,18(3):65-66. 被引量：5
-
4赵丽,曾辉,王宝勤.有关辛李群[J].新疆师范大学学报（自然科学版）,2005,24(2):1-3. 被引量：2
-
5熊传华.Ad S_5S^5背景下IIB超弦的Dressing对称性及Affine可积性[J].物理学报,2005,54(1):47-52. 被引量：2
-
6高校应用数学学报第19卷(2004年)B辑(英文版)第1期目次和提要[J].高校应用数学学报（A辑）,2004,19(1):125-126.
-
7Qi Bing ZHENG.Tensor Product of Massey Products[J].Acta Mathematica Sinica,English Series,2006,22(1):13-22.
-
8宁伟,张卫,柳方雷.冠图的关联着色(英文)[J].内蒙古师范大学学报（自然科学汉文版）,2000,29(2):93-96.
-
9李德禄.李群R^3|×GL(3)的Maurer-Cartan形式的两种证明[J].安阳师范学院学报,2005(5):15-16.
-
10Typical valuation medium and a simplified system of axioms of L[J].Chinese Science Bulletin,1998,43(24):2101-2102.
