Structure of the Hecke algebra \(L(G,U_0)\) where \(G=\text{GL}_2(\mathbb{Q}_p)\) and \(U_0\) is a principal congruence subgroup

DOI10.1007/BF01885507zbMath0487.16002MaRDI QIDQ1165295

Elena P. Golubeva

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hecke algebrasgeneral linear groupsprincipal congruence subgroupsfields of \(p\)-adic numbersmaximal compact subgroups

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Linear algebraic groups over arbitrary fields (20G15) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06) Other classes of modules and ideals in associative algebras (16D80)

Cites Work

• On the \(\zeta\)-functions of a division algebra
• Theory of spherical functions on reductive algebraic groups over p-adic fields

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