Pfaffian and determinants of skew symmetric matrices

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SUMMARY

This discussion focuses on the determinants of skew symmetric matrices, specifically addressing the Moore determinant and its relationship with mixed determinants. The user seeks clarity on the construction process and restrictions related to the base vector space. Additionally, there is an interest in applying these concepts to n-dimensional split quaternions. The conversation highlights the need for more resources and explanations regarding these mathematical operators.

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  • Understanding of skew symmetric matrices
  • Familiarity with determinants and their properties
  • Knowledge of Moore determinants
  • Basic concepts of vector spaces
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  • Research the properties of skew symmetric matrices in linear algebra
  • Study the Moore determinant and its applications
  • Explore mixed determinants and their significance
  • Investigate the mathematical framework of n-dimensional split quaternions
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Mathematicians, students of linear algebra, and researchers interested in advanced matrix theory and its applications in theoretical physics.

camilus
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Can anyone explain or point me to a good resource to understand these operators? I'm trying to the understand determinants for skew symmetric matrices, more specifically the Moore determinant and it's polarization of mixed determinants. Can hone shed some light? I'm confused as to how the construction is done in the first place and what are the restrictions on the base Vector space.

I'm trying to see if I can use the on the n-dimensional split quaternions.
Thanks!
CM
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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