Paškūnas, Vytautas On some crystalline representations of \(\mathrm{GL}_2(\mathbb Q_p)\). (English) Zbl 1173.22015 Algebra Number Theory 3, No. 4, 411-421 (2009). It is proved that if \(G:= \mathrm{GL}_2(\mathbb Q_p)\) with \(p > 2\), then the universal unitary completion of some locally algebraic representation of \(G\) is topologically irreducible, admissible, and corresponds to a two-dimensional irreducible crystalline representation with non-simple Frobenius via the \(p\)-adic Langlands correspondence for \(G\). Reviewer: Eugene Kryachko (Liège) Cited in 8 Documents MSC: 22E50 Representations of Lie and linear algebraic groups over local fields 11S37 Langlands-Weil conjectures, nonabelian class field theory 11S20 Galois theory Keywords:\(\mathrm{GL}_2(\mathbb Q_p)\); locally algebraic representation; crystalline representation; completion × Cite Format Result Cite Review PDF Full Text: DOI arXiv