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Дата последнего поиска статьи во внешних источниках: 20 мая 2020 г.
Аннотация:We consider the Hecke algebra of a profinite group G and establish relation between its dual (the algebra of distributions) and the complete group algebra of G. There are p–adic analogs of these notions arising as p–adic rationalizations in study of quasirational presentations. Using results on representations of finite p–groups over p-adic numbers we prove a p–adic analog of the Ritter-Segal theorem and study the only 4–dimensional, primitive, faithful, irreducible representation of the quaternion group of order 16 over a quadratic extension of the field of 2–adic numbers.