The column and row immanants over a split quaternion algebra

DOI10.1007/s00006-014-0517-6zbMath1328.15015arXiv1405.1614OpenAlexW1963875734MaRDI QIDQ497161

Ivan I. Kyrchei

Publication date: 23 September 2015

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1614

zbMATH Keywords

Hermitian matrixpermanentquaternion algebrasplit quaternionnoncommutative determinantimmanant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (3)

Determinantal representations of solutions to systems of quaternion matrix equations ⋮ Cramer's rules for some Hermitian coquaternionic matrix equations ⋮ Elementary transformation and its applications for split quaternion matrices

Cites Work

• Condensed Cramer rule for some restricted quaternion linear equations
• Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field
• Cramer's rule for some quaternion matrix equations
• Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations
• On complex split quaternion matrices
• Real matrix representations for the complex quaternions
• On eigenvalues of split quaternion matrices
• Bott-Duffin inverse over the quaternion skew field with applications
• Cramer's rule for quaternionic systems of linear equations
• Determinantal representations of the Moore–Penrose inverse over the quaternion skew field and corresponding Cramer's rules
• Group Characters and the Structure of Groups
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂
• Unnamed Item
• Unnamed Item

This page was built for publication: The column and row immanants over a split quaternion algebra