Corestriction and Hilbert's Theorem 90

1992 ◽  
pp. 55-66
Author(s):  
Cornelius Greither
Keyword(s):  
Hilbert’S Theorem 90

scholarly journals A group-theoretical version of Hilbert's theorem 90

2015 ◽  
Vol 47 (4) ◽  
pp. 704-714
Author(s):  
C. Quadrelli ◽  
Th. Weigel
Keyword(s):  
Hilbert’S Theorem 90

Hilbert's Theorem 90 and the Segal Conjecture for Elementary Abelian p-Groups

1985 ◽  
Vol 107 (4) ◽  
pp. 775 ◽  
Author(s):  
Stewart Priddy ◽  
Clarence Wilkerson
Keyword(s):  
Hilbert’S Theorem 90

scholarly journals Residues of intertwining operators for SO*6 as character identities

2010 ◽  
Vol 146 (3) ◽  
pp. 772-794 ◽  
Author(s):  
Freydoon Shahidi ◽  
Steven Spallone
Keyword(s):  
Quadratic Extension ◽  
The Other ◽  
Levi Subgroup ◽  
Intertwining Operators ◽  
Central Character ◽  
Supercuspidal Representation ◽  
Induced Representations ◽  
Intertwining Operator ◽  
Other Hand ◽  
Hilbert’S Theorem 90

AbstractWe show that the residue at s=0 of the standard intertwining operator attached to a supercuspidal representation π⊗χ of the Levi subgroup GL2(F)×E1 of the quasisplit group SO*6(F) defined by a quadratic extension E/F of p-adic fields is proportional to the pairing of the characters of these representations considered on the graph of the norm map of Kottwitz–Shelstad. Here π is self-dual, and the norm is simply that of Hilbert’s theorem 90. The pairing can be carried over to a pairing between the character on E1 and the character on E× defining the representation of GL2(F) when the central character of the representation is quadratic, but non-trivial, through the character identities of Labesse–Langlands. If the quadratic extension defining the representation on GL2(F) is different from E the residue is then zero. On the other hand when the central character is trivial the residue is never zero. The results agree completely with the theory of twisted endoscopy and L-functions and determines fully the reducibility of corresponding induced representations for all s.

A Generalization of Hilbert's Theorem 90

1968 ◽  
Vol 75 (5) ◽  
pp. 518
Author(s):  
M. G. Monzingo
Keyword(s):  
Hilbert’S Theorem 90

scholarly journals A note on Hilbert’s Theorem 90

1993 ◽  
Vol 118 (3) ◽  
pp. 739-739
Author(s):  
Bao-Ping Jia ◽  
Larry Santoni
Keyword(s):  
Hilbert’S Theorem 90
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