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ON NONCRITICAL GALOIS REPRESENTATIONS
Journal of the Institute of Mathematics of Jussieu, 2021AbstractWe propose a conjecture that the Galois representation attached to every Hilbert modular form is noncritical and prove it under certain conditions. Under the same condition we prove Chida, Mok and Park’s conjecture that Fontaine-Mazur L-invariant and Teitelbaum-type L-invariant coincide with each other.
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Galois Groups, Galois Representations and Iwasawa Theory
Journal of the Indian Institute of Science, 2022In this article, the author provides a lively picture of the principal questions and the main results in Iwasawa theory. After briefly explaining the role of Leopoldt's conjecture in connection with the number of independent \(\mathbb Z_p\)-extensions of number fields, she introduces Galois representations and mentions the Tate module of elliptic ...
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Icosahedral Galois representations
Pacific Journal of Mathematics, 1997To the memory of Olga Taussky ...
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Conversion of Element Representations in Galois Rings
Mathematics in Computer Science, 2020Let \(G(p^s,m)\) be a Galois ring. Each element in \(G(p^s,m)\) has an additive representation and a \(p\)-adic representation. In this paper, the authors develops a series of programs allowing the convertion between these two representations in a Galois ring.
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