nLab Dmitry Vladimirovich Alekseevsky

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Selected writings

On G-structure:

• Dmitry Alekseevsky, $G$-structure on a manifold in M. Hazewinkel (ed.) Encyclopedia of Mathematics, Volume 4

On Sp(n).Sp(1)-special holonomy:

• Dmitri Alekseevskii: Riemannian spaces with exceptional holonomy groups, Funct Anal Its Appl 2 (1968) 97–105 [doi:10.1007/BF01075943]

On quaternionic manifolds and quaternion-Kähler manifolds in terms of G-structure:

• Dmitri V. Alekseevsky, Stefano Marchiafava: Quaternionic-like structures on a manifold: Note I. 1-integrability and integrability conditions, Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 4 1 (1993) 43-52 [pdf]

• Dmitri V. Alekseevsky, Stefano Marchiafava: Quaternionic-like structures on a manifold: Note II. Automorphism groups and their interrelations, Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 4 1 (1993) 53-61 [pdf]

• Dmitry V. Alekseevsky, Stefano Marchiafava, Quaternionic structures on a manifold and subordinated structures, Annali di Matematica pura ed applicata 171, 205–273 (1996) (doi:10.1007/BF01759388)

On Killing spinors:

• Dmitri Alekseevsky, Vicente Cortés, Chandrashekar Devchand, Uwe Semmelmann, Killing spinors are Killing vector fields in Riemannian Supergeometry (arXiv:dg-ga/9704002)

On Lie algebra extension, nonabelian Lie algebra cohomology:

• Dmitry Vladimirovich Alekseevsky, Vicente Cortés, Chandrashekar Devchand, Antoine Van Proeyen, Polyvector Super-Poincaré Algebras Commun.Math.Phys. 253 (2004) 385-422 (arXiv:hep-th/0311107)

• Dmitri Alekseevsky, Peter Michor, Wolfgang Ruppert, Extensions of Lie algebras (math.DG/0005042)

On super Lie algebra extensions:

• Dmitri Alekseevsky, Peter Michor, Wolfgang Ruppert, Extensions of super Lie algebras, J. Lie Theory 15 (2005) No. 1, 125–134 (arXiv:math/0101190)

On special geometry

• D. V. Alekseevsky, V. Cortés, C. Devchand, Special complex manifolds, Journal of Geometry and Physics 42:1-2 (2002) 85–105 doi

Related $n$Lab entries

• Sp(n).Sp(1)

• Killing spinor

• super Poincaré Lie algebra

• charge conjugation matrix

• supergeometry

• extended supersymmetry

category: people