On the local theory of quaternionic anti-hermitian forms
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This article is published in Journal of The Mathematical Society of Japan.The article was published on 1961-10-01 and is currently open access. It has received 48 citations till now. The article focuses on the topics: Quaternionic representation & Hermitian matrix.read more
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Local models of Shimura varieties and a conjecture of Kottwitz
Georgios Pappas,Xinwen Zhu +1 more
TL;DR: In this paper, a group theoretic definition of local models of Grassmannian degenerations of Shimura varieties has been given, which are obtained by extending constructions of Beilinson, Drinfeld, Gaitsgory and the second-named author to mixed characteristics and to the case of general reductive groups.
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Galois-Kohomologie halbeinfacher algebraischer Gruppen über p-adischen Körpern. II
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The local Langlands conjecture for GSp(4), II: The case of inner forms
Wee Teck Gan,Welly Tantono +1 more
TL;DR: In this paper, the inner form of the inner Langlands correspondence was extended to inner form GU_2(D) of GSp_4(F) for a non-archimedean local field of characteristic zero.
References
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J. Dieudonné, La géometrie des groupes classiques. (Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft 5.) VII + 115 S. Berlin/Göttingen/Heidelberg 1955. Springer-Verlag. Preis brosch. 19,60 DM .
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Quadratic Forms over Involutorial Division Algebras
TL;DR: In this article, it was shown that two quadratic forms with coefficients in an algebraic number field K are equivalent if and only if they are so in every completion K p of K by valuations of K.