Any software for calculating Lie Group Quotients?

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Are there any software packages out there that can do equations like:



$$ fracSU(5)SU(3)=SU(2)times U(1)$$



or...



$$fracE_8E_6 = SU(3)$$



or...



$$ fracO(32)O(10)times O(4) = text?$$



Probably you wouldn't need software to do this as you would just need a table of maximal subgroups. But it might be nice. I remember first learning about Lie Groups and working out subgroups is a bit tricky.




computer-algebra-systems




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    up vote
    1
    down vote

    favorite
    1












    Are there any software packages out there that can do equations like:



    $$ fracSU(5)SU(3)=SU(2)times U(1)$$



    or...



    $$fracE_8E_6 = SU(3)$$



    or...



    $$ fracO(32)O(10)times O(4) = text?$$



    Probably you wouldn't need software to do this as you would just need a table of maximal subgroups. But it might be nice. I remember first learning about Lie Groups and working out subgroups is a bit tricky.




    computer-algebra-systems




    share|cite|improve this question























      up vote
      1
      down vote

      favorite
      1









      up vote
      1
      down vote

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      Are there any software packages out there that can do equations like:



      $$ fracSU(5)SU(3)=SU(2)times U(1)$$



      or...



      $$fracE_8E_6 = SU(3)$$



      or...



      $$ fracO(32)O(10)times O(4) = text?$$



      Probably you wouldn't need software to do this as you would just need a table of maximal subgroups. But it might be nice. I remember first learning about Lie Groups and working out subgroups is a bit tricky.




      computer-algebra-systems




      share|cite|improve this question













      Are there any software packages out there that can do equations like:



      $$ fracSU(5)SU(3)=SU(2)times U(1)$$



      or...



      $$fracE_8E_6 = SU(3)$$



      or...



      $$ fracO(32)O(10)times O(4) = text?$$



      Probably you wouldn't need software to do this as you would just need a table of maximal subgroups. But it might be nice. I remember first learning about Lie Groups and working out subgroups is a bit tricky.





      computer-algebra-systems





      share|cite|improve this question












      share|cite|improve this question




      share|cite|improve this question








      edited Jul 15 at 1:14









      Michael Hardy

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      204k23186463









      asked Jul 15 at 1:03









      zooby

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