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Andrius Kulikauskas

  • m a t h 4 w i s d o m - g m a i l
  • +370 607 27 665
  • My work is in the Public Domain for all to share freely.

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  • 读物 书 影片 维基百科

Introduction E9F5FC

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Give a combinatorial interpretation of the formula:

{$ \mathrm{det}(e^A)=e^{\mathrm{tr}(A)} $}


  • Give a combinatorial interpretation of {$ e^A$}.
  • Relate {$\mathrm{tr}(A)$} to the weight lattice.
  • Determinant gives the volume. Traces gives?

Note that this is central for the connection between the special linear Lie group (determinant of M is one) and the Lie algebra (trace of A is zero).

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This page was last changed on June 26, 2019, at 02:20 PM