Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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DECOMPOSITION OF SOME CENTRAL SEPARABLE ALGEBRAS

  • Park, Eun-Mi (Department of Mathematics, Han Nam University) ;
  • Lee, Hei-Sook (Department of Mathematics, Ewha Womans University)
  • Published : 2001.01.01
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Abstract

If an Azumaya algebra A is a homomorphic image of a finite group ring RG where G is a direct product of subgroups then A can be decomposed into subalgebras A(sub)i which are homomorphic images of subgroup rings of RG. This result is extended to projective Schur algebras, and in this case behaviors of 2-cocycles will play major role. Moreover considering the situation that A is represented by Azumaya group ring RG, we study relationships between the representing groups for A and A(sub)i.

Keywords

References

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