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My blog http://AleksKleyn.blogspot.com/

My Lectures on YouTube https://sites.google.com/site/AleksKleyn/lectures

• Differential Geometry
  • Aleks Kleyn. ePrint arXiv:gr-qc/0405027 Reference Frame in General Relativity, 2004
  • Aleks Kleyn. ePrint arXiv:math.DG/0412391 Basis Manifold, 2004
  • Aleks Kleyn. ePrint arXiv:1003.3714 Differential Properties of Geometric Object, 2010
  • Aleks Kleyn. ePrint arXiv:1107.5037 Orthogonal Basis and Motion in Finsler Geometry, 2011
  • Aleks Kleyn, Alexandre Laugier. ePrint arXiv:1201.4158 Orthonormal Basis in Minkowski Space, 2012
• Representation Theory
  • Aleks Kleyn. ePrint arXiv:0912.3315 Representation of Universal Algebra, 2009
  • Aleks Kleyn, Representation Theory: Representation of Universal Algebra, Lambert Academic Publishing, 2011
  • Aleks Kleyn. ePrint arXiv:1102.5168 Polymorphism of Representations of Universal Algebra, 2011
  • Aleks Kleyn. ePrint arXiv:1111.6035 Basis of Representation of Universal Algebra, 2011
• Causality
  • Aleks Kleyn, Relativistic Causality: Lorentz transformation in Special Relativity, Create Space, 2011
• General Covariance Principle
  • Aleks Kleyn. ePrint arXiv:gr-qc/0405028 Metric-Affine Manifold, 2004
  • Aleks Kleyn. ePrint arXiv:gr-qc/0407092 Tidal Force in Metric-Affine Gravity, 2004
  • Aleks Kleyn. ePrint arXiv:0803.3276 Lorentz Transformation and General Covariance Principle, 2009
• Linear Algebra
  • Aleks Kleyn. ePrint arXiv:math.RA/0501237 Vector Space Over Skew-Field, 2005
  • Aleks Kleyn. ePrint arXiv:math.GM/0612111 Biring of Matrices, 2006
  • Aleks Kleyn. ePrint arXiv:math.GM/0701238 Lectures on Linear Algebra over Division Ring, 2007
  • Aleks Kleyn. ePrint arXiv:0912.4061 Linear Equation in Finite Dimensional Algebra, 2010
  • Aleks Kleyn. ePrint arXiv:1001.4852 The Matrix of Linear Mappings, 2010
  • Aleks Kleyn. ePrint arXiv:1003.1544 Linear Mappings of Free Algebra, 2010
  • Aleks Kleyn, Linear Mappings of Free Algebra: First Steps in Noncommutative Linear Algebra, Lambert Academic Publishing, 2010
  • Aleks Kleyn. ePrint arXiv:1011.3102 Polylinear Mapping of Free Algebra, 2010
  • Aleks Kleyn, Ivan Kyrchei. ePrint arXiv:1102.1776 Correspondence between Row-Column Determinants and Quasideterminants of Matrices over Quaternion Algebra, 2011
  • Aleks Kleyn. ePrint arXiv:1104.5197 C^*-Rhapsody, 2011
  • Aleks Kleyn. ePrint arXiv:1105.4307 Algebra with Conjugation, 2011
  • Aleks Kleyn. ePrint arXiv:1107.1139 Linear Mappings of Quaternion Algebra, 2011
  • Aleks Kleyn. ePrint arXiv:1202.6021 Mappings of Conjugation of Quaternion Algebra, 2012
  • Aleks Kleyn. Linear Algebra over Division Ring: System of Linear Equations, Create Space, 2011
  • Aleks Kleyn. ePrint arXiv:1211.6965 Free Algebra with Countable Basis, 2012
• Calculus over Division Ring
  • Aleks Kleyn. ePrint arXiv:0812.4763 Introduction into Calculus over Division Ring, 2010
  • Aleks Kleyn. ePrint arXiv:0908.3307 The Gateaux Derivative of Map over Division Ring, 2009
  • Aleks Kleyn. ePrint arXiv:0909.0855 Quaternion Rhapsody, 2010
  • Aleks Kleyn. ePrint arXiv:1006.2597 The Gateaux Derivative and Integral over Banach Algebra, 2010
• Geometry over Division Ring
  • Aleks Kleyn. ePrint arXiv:0906.0135 Introduction into Geometry over Division Ring, 2010
• Algebraic Geometry
  • Aleks Kleyn. ePrint arXiv:1206.0200 Algebra of Fractions of Algebra with Conjugation, 2012
• Fibered Universal Algebra
  • Aleks Kleyn. ePrint arXiv:math.DG/0702561 Fibered Universal Algebra, 2007
  • Aleks Kleyn. ePrint arXiv:0707.2246 Fibered Correspondence, 2007
  • Aleks Kleyn. ePrint arXiv:0803.2620 Morphism of T*-Representations, 2008
• Aleks Kleyn. ePrint arXiv:math.HO/0609472 English Russian Science Dictionary, 2006