# nLab Dmitry Vladimirovich Alekseevsky

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## 1. Selected writings

On G-structure :

- Dmitry Alekseevsky , G 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 , Functional Analalysis and its Applications (1968) 2: 97.

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. dml:244082 )

- Dmitri V. Alekseevsky , Stefano Marchiafava , Quaternionic-like structures on a manifold: Note II. Automorphism groups and their interrelations , Atti della Accademia Nazionale dei Lincei. dml:244299 )

- 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. arXiv:math/0101190 )

## 2. Related n n Lab entries

- Sp(n).Sp(1)

- Killing spinor

- super Poincaré Lie algebra

- charge conjugation matrix

category: people

Last revised on July 15, 2020 at 15:25:13. See the history of this page for a list of all contributions to it.