4.4 Article

Automorphism groups of pseudo H-type algebras

Journal

JOURNAL OF ALGEBRA
Volume 568, Issue -, Pages 91-138

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2020.09.038

Keywords

Clifford module; Nilpotent 2-step Lie algebra; Pseudo H-type algebras; Lie algebra automorphism; Scalar product

Categories

Funding

  1. Osaka City University Advanced Mathematical Institute, CMEXT Joint Usage/Research Center on Mathematics and Theoretical Physics [JPMXP0619217849]
  2. JSPS [17K05284]
  3. National Center for Theoretical Science, National Taiwan University
  4. project Pure Mathematics in Norway - Trond Mohn Foundation
  5. Grants-in-Aid for Scientific Research [17K05284] Funding Source: KAKEN

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In this paper, we determine the group of automorphisms of pseudo H-type Lie algebras, which are two step nilpotent Lie algebras closely related to the Clifford algebras.
In the present paper we determine the group of automorphisms of pseudo H-type Lie algebras, that are two step nilpotent Lie algebras closely related to the Clifford algebras Cl(R-tau,R-s). (C) 2020 The Author(s). Published by Elsevier Inc.

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