A Krull-Schmdit type theorem for coherent sheaves

作者：Argaez A S^*

来源：Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2014, 22(2): 51-55.

DOI：10.2478/auom-2014-0030

• Group representations on sheaves
• Krull-Schmdit theorem
• projective varieties

Let X be projective variety over an algebraically closed field k and G be a finite group with g.c.d.(char(k), vertical bar G vertical bar) = 1. We prove that any representations of G on a coherent sheaf, rho : G -> End(epsilon), has a natural decomposition epsilon similar or equal to circle plus V circle times(k) F-V, where G acts trivially on F-V and the sum run over all irreducible representations of G over k.

• 出版日期2014