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On the Lie structure of zero row sum and related matrices
-
Andreas Boukas
,
Philip Feinsilver
Veröffentlicht/Copyright:
30. Oktober 2015
Abstract
We study the structure of zero row sum matrices as an algebra and as a Lie algebra in the context of groups preserving a given projection in the algebra of matrices. We find the structure of the Lie algebra of the group that fixes a given projection. Details for the zero row sum matrices are presented. In particular, we find the Levi decomposition and give an explicit unitary equivalence with the affine Lie algebra. An orthonormal basis for zero row sum matrices appears naturally.
Received: 2015-1-28
Accepted: 2015-9-4
Published Online: 2015-10-30
Published in Print: 2015-12-1
© 2015 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- On the Lie structure of zero row sum and related matrices
- Random fixed point theorems based on orbits of random mappings with some applications to random integral equations
- 30 years of General Statistical Analysis and canonical equation K60 for Hermitian matrices (A + BUC)(A + BUC)*, where U is a random unitary matrix
- Canonical equation K61 for random non-Hermitian matrices A + B(U + γH)C
Schlagwörter für diesen Artikel
Stochastic group;
projection-preserving group;
zeons;
Markov generators;
zero row sum
Artikel in diesem Heft
- Frontmatter
- On the Lie structure of zero row sum and related matrices
- Random fixed point theorems based on orbits of random mappings with some applications to random integral equations
- 30 years of General Statistical Analysis and canonical equation K60 for Hermitian matrices (A + BUC)(A + BUC)*, where U is a random unitary matrix
- Canonical equation K61 for random non-Hermitian matrices A + B(U + γH)C
