scholarly journals The field-of-norms functor and the Hilbert symbol for higher local fields

2012 ◽  
Vol 24 (1) ◽  
pp. 1-39 ◽  
Author(s):  
Victor Abrashkin ◽  
Ruth Jenni
Keyword(s):  
Local Fields ◽  
Hilbert Symbol ◽  
Field Of Norms

The Hilbert Symbol in Higher-Dimensional Local Fields for Formal Lubin−Tate Groups

2013 ◽  
Vol 192 (2) ◽  
pp. 137-153 ◽  
Author(s):  
S. S. Afanas’eva ◽  
B. M. Bekker ◽  
S. V. Vostokov
Keyword(s):  
Local Fields ◽  
Hilbert Symbol ◽  
Higher Dimensional

Local Fields

1986 ◽  
Author(s):  
J. W. S. Cassels
Keyword(s):  
Local Fields

scholarly journals Smooth representations of unit groups of split basic algebras over non-Archimedean local fields

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Carlos A. M. André ◽  
João Dias
Keyword(s):  
Local Field ◽  
Unit Group ◽  
Basic Algebra ◽  
Local Fields ◽  
Dimensional Representation ◽  
Smooth Representation ◽  
One Dimensional ◽  
Finite Dimensional

Abstract We consider smooth representations of the unit group G = A × G=\mathcal{A}^{\times} of a finite-dimensional split basic algebra 𝒜 over a non-Archimedean local field. In particular, we prove a version of Gutkin’s conjecture, namely, we prove that every irreducible smooth representation of 𝐺 is compactly induced by a one-dimensional representation of the unit group of some subalgebra of 𝒜. We also discuss admissibility and unitarisability of smooth representations of 𝐺.

Local fields in two-phase fibrous piezo-composites with 622 constituents

2016 ◽  
Vol 40 (9) ◽  
pp. 3221-3229 ◽  
Author(s):  
Ransés Alfonso-Rodríguez ◽  
Julián Bravo-Castillero ◽  
Leslie D. Pérez-Fernández
Keyword(s):  
Local Fields ◽  
Two Phase
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