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On matrix Lie affgebras
- Publication Year :
- 2024
-
Abstract
- Lie brackets or Lie affgebra structures on several classes of affine spaces of matrices are studied. These include general normalised affine matrices, special normalised affine matrices, anti-symmetric and anti-hermitian normalised affine matrices and special anti-hermitian normalised affine matrices. It is shown that, when retracted to the underlying vector spaces, they correspond to classical matrix Lie algebras: general and special linear, anti-symmetric, anti-hermitian and special anti-hermitian Lie algebras respectively.<br />Comment: 9 pages
- Subjects :
- Mathematics - Rings and Algebras
Mathematical Physics
17B05, 20N10, 81R12
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2403.05142
- Document Type :
- Working Paper