TY - JOUR
T1 - The tannakian formalism and the langlands conjectures
AU - Kazhdan, David
AU - Larsen, Michael
AU - Varshavsky, Yakov
PY - 2014
Y1 - 2014
N2 - Let H be a connected reductive group over an algebraically closed field of characteristic zero, and let 0 be an abstract group. In this note, we show that every homomorphism of Grothendieck semirings φ: K+0[H]→K0+[Γ], which maps irreducible representations to irreducible, comes from a group homomorphism ρ:Γ→H(K). We also connect this result with the Langlands conjectures.
AB - Let H be a connected reductive group over an algebraically closed field of characteristic zero, and let 0 be an abstract group. In this note, we show that every homomorphism of Grothendieck semirings φ: K+0[H]→K0+[Γ], which maps irreducible representations to irreducible, comes from a group homomorphism ρ:Γ→H(K). We also connect this result with the Langlands conjectures.
KW - Langlands conjectures
KW - Tannaka duality
UR - http://www.scopus.com/inward/record.url?scp=84901496884&partnerID=8YFLogxK
U2 - 10.2140/ant.2014.8.243
DO - 10.2140/ant.2014.8.243
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AN - SCOPUS:84901496884
SN - 1937-0652
VL - 8
SP - 243
EP - 256
JO - Algebra and Number Theory
JF - Algebra and Number Theory
IS - 1
ER -