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arxiv: 0705.3605 · v1 · submitted 2007-05-24 · 🧮 math.RT · math.QA

Four Drafts of The Representation Theory of the Group of Infinite Matrices over Finite Fields

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keywords finitegroupscharactersfieldsgroupmatricesalmostapplicatons
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Preface (A.Vershik) - about these texts (3.); I.Interpolation between inductive and projective limits of finite groups with applicatons to linear groups over finite fields; II.The characters of the groups of almost triangle matrices over finite filed; III.A Law of Large Numbers for the characters of GL_n(k) over finite field k; IV.An outline of construction of factor representations of the group GLB(F_q).

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