Published February 2019 | Version v1
Journal article Metadata-only

Quadratic Lie Superalgebras Generalized by Balinsky–Novikov Superalgebras

Creators

  • 1. Nankai University, Chern Institute of Mathematics (China)
  • 2. Nankai University, School of Mathematical Science & LPMC (China)
  • 3. Tianjin University, School of Mathematics (China)

Description

Balinsky–Novikov superalgebras were introduced by Balinsky for constructing super-Vira-soro type Lie superalgebras. In this paper, we give sufficient and necessary conditions for a Lie superalgebra generalized by a Balinsky–Novikov superalgebra with dimension 2|2 to be a quadratic Lie superalgebra.

Additional details

Identifiers

DOI
10.1007/s10114-018-7210-y;

Publishing Information

Journal Title
Acta Mathematica Sinica. English Series (Internet)
Journal Volume
35
Journal Issue
2
Journal Page Range
p. 213-226
ISSN
1439-7617

INIS

Country of Publication
Germany
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
54065522
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ALGEBRA; CALCULATION METHODS; GRADED LIE GROUPS
Descriptors DEC
LIE GROUPS; MATHEMATICS; SYMMETRY GROUPS

Optional Information

Copyright
Copyright (c) 2019 Institute of Mathematics, Academy of Mathematics and Systems Science (CAS), Chinese Mathematical Society (CAS) and Springer-Verlag GmbH Germany, part of Springer Nature