A Note on A-infinity Algebra with Deformations

A Note on A-infinity Algebra with Deformations

论文摘要

在本文中,我们证明了域上A无穷代数的两种定义当域的特征为0时是等价的;回顾了结合代数的形变理论,并用范畴的观点去看它;最后将部分结合代数的形变理论推广到A无穷代数的情形。

论文目录

  • 背景和综述
  • Abstract
  • 摘要
  • 1 Introduction
  • ∞-Algebra'>2 The Definitions of an A-Algebra
  • 3 Deformation and Hochschild Cohomology of an Associative Algebra
  • ∞-algebra'>4 Deformation of an A-algebra
  • Acknowledgments
  • References
  • 相关论文文献

    • [1].Dual Lie Bialgebra Structures of W-algebra W(2, 2) Type[J]. Acta Mathematica Sinica 2019(10)
    • [2].On two Hall algebra approaches to odd periodic triangulated categories[J]. Science China(Mathematics) 2018(02)
    • [3].A Realization of the W_(1+∞) Algebra and Its n-Algebra[J]. Chinese Physics Letters 2017(08)
    • [4].On d-Dimensional Lattice (co)sine n-Algebra[J]. Communications in Theoretical Physics 2016(10)
    • [5].Complex Kumjian–Pask Algebras[J]. Acta Mathematica Sinica(New Series) 2013(11)
    • [6].The Structure of a Lie Algebra Attached to a Unit Form[J]. Journal of Mathematical Research with Applications 2019(05)
    • [7].Weak Hopf Algebras Corresponding to the Non-Standard Deformation of Type B_n[J]. Journal of Mathematical Research with Applications 2018(06)
    • [8].A diagrammatic categorification of the fermion algebra[J]. Chinese Physics B 2013(10)
    • [9].A direct product decomposition of QMV algebras[J]. Science China(Mathematics) 2012(04)
    • [10].DG algebra structures on AS-regular algebras of dimension 2[J]. Science China(Mathematics) 2011(10)
    • [11].Extension of a quantized enveloping algebra by a Hopf algebra[J]. Science China(Mathematics) 2010(05)
    • [12].A Maschke Type Theorem for Weak Hopf Algebras[J]. Acta Mathematica Sinica(English Series) 2008(12)
    • [13].A Specialization of Prinjective Ringel-Hall Algebra and the associated Lie algebra[J]. Acta Mathematica Sinica(English Series) 2008(10)
    • [14].Graded automorphism group of TKK algebra[J]. Science in China(Series A:Mathematics) 2008(02)
    • [15].Verma modules for rank two Heisenberg-Virasoro algebra[J]. Science China(Mathematics) 2020(07)
    • [16].Determinant formula and a realization for the Lie algebra W(2,2)[J]. Science China(Mathematics) 2018(04)
    • [17].CROSSED PRODUCTS BY FINITE GROUP ACTIONS WITH CERTAIN TRACIAL ROKHLIN PROPERTY[J]. Acta Mathematica Scientia(English Series) 2018(03)
    • [18].Whittaker Modules for the Derivation Lie Algebra of Torus with Two Variables[J]. Acta Mathematica Sinica 2016(10)
    • [19].Semi-Simple Algebras and Normality of Closed Subsets in Standard Table Algebras[J]. Wuhan University Journal of Natural Sciences 2017(05)
    • [20].L-octo-algebras[J]. Communications in Mathematical Research 2016(01)
    • [21].Simple Harish-Chandra supermodules over the super Schrdinger algebra[J]. Science China(Mathematics) 2015(12)
    • [22].Universal C*-algebras Defined by Completely Bounded Unital Homomorphisms[J]. Acta Mathematica Sinica 2015(12)
    • [23].The lower and upper bounds of the degree distribution of a graded algebra[J]. Science China(Mathematics) 2013(05)
    • [24].Extensions of quantum enveloping algebras[J]. Applied Mathematics:A Journal of Chinese Universities(Series B) 2012(03)
    • [25].The Structure of Quantum Group U_q(osp(1,2,f))[J]. 数学研究与评论 2011(03)
    • [26].On Homomorphism of Valuation Algebras[J]. Communications in Mathematical Research 2011(01)
    • [27].Prolongation structure of the variable coefficient KdV equation[J]. Chinese Physics B 2011(01)
    • [28].A Superalgebraic Interpretation of the Quantization Maps of Weil Algebras[J]. Acta Mathematica Sinica(English Series) 2008(02)
    • [29].半单弱Hopf代数的作用(英文)[J]. 数学研究与评论 2008(01)
    • [30].Modified Ringel-Hall algebras, naive lattice algebras and lattice algebras[J]. Science China(Mathematics) 2020(04)
    A Note on A-infinity Algebra with Deformations
    下载Doc文档

    猜你喜欢