How to create an irreducible representation of nonsymmorphic space groups, and go through an example

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I want to create irreducible representations of nonsymmorphic space groups, specifically 2D space groups, pg, pmg, pgg, p4g.



I've been reading some resources but the way explain them are too abstract and I can't actually come up with an example.



They also seem to find a irrep of the factor group $$ fracG_kT_k $$, where $$ G_k $$ is the space group and $$ T_k$$ is the translational space group, but doesn't say how to create an irrep of the entire group.



I was wondering if anyone could go through the steps of creating an irrep of one of the four space groups I listed.



Thanks!




group-theory finite-groups quantum-mechanics crystallography




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    I want to create irreducible representations of nonsymmorphic space groups, specifically 2D space groups, pg, pmg, pgg, p4g.



    I've been reading some resources but the way explain them are too abstract and I can't actually come up with an example.



    They also seem to find a irrep of the factor group $$ fracG_kT_k $$, where $$ G_k $$ is the space group and $$ T_k$$ is the translational space group, but doesn't say how to create an irrep of the entire group.



    I was wondering if anyone could go through the steps of creating an irrep of one of the four space groups I listed.



    Thanks!




    group-theory finite-groups quantum-mechanics crystallography




    share|cite|improve this question





















      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I want to create irreducible representations of nonsymmorphic space groups, specifically 2D space groups, pg, pmg, pgg, p4g.



      I've been reading some resources but the way explain them are too abstract and I can't actually come up with an example.



      They also seem to find a irrep of the factor group $$ fracG_kT_k $$, where $$ G_k $$ is the space group and $$ T_k$$ is the translational space group, but doesn't say how to create an irrep of the entire group.



      I was wondering if anyone could go through the steps of creating an irrep of one of the four space groups I listed.



      Thanks!




      group-theory finite-groups quantum-mechanics crystallography




      share|cite|improve this question











      I want to create irreducible representations of nonsymmorphic space groups, specifically 2D space groups, pg, pmg, pgg, p4g.



      I've been reading some resources but the way explain them are too abstract and I can't actually come up with an example.



      They also seem to find a irrep of the factor group $$ fracG_kT_k $$, where $$ G_k $$ is the space group and $$ T_k$$ is the translational space group, but doesn't say how to create an irrep of the entire group.



      I was wondering if anyone could go through the steps of creating an irrep of one of the four space groups I listed.



      Thanks!





      group-theory finite-groups quantum-mechanics crystallography





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      share|cite|improve this question




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      asked Jul 15 at 18:29









      semmo

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