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The Local Langlands Conjecture for GL(2)
ISBN: 9783642068539 / Angielski / Miękka / 2010 / 364 str. Termin realizacji zamówienia: 22 dni roboczych If F is a non-Archimedean local field, local class field theory can be viewed as giving a canonical bijection between the characters of the multiplicative group GL(1, F) of F and the characters of the Weil group of F. If n is a positive integer, the n-dimensional analogue of a character of the multiplicative group of F is an irreducible smooth representation of the general linear group GL(n, F). The local Langlands Conjecture for GL(n) postulates the existence of a canonical bijection between such objects and n-dimensional representations of the Weil group, generalizing class field... If F is a non-Archimedean local field, local class field theory can be viewed as giving a canonical bijection between the characters of the multipl... |
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To an Effective Local Langlands Correspondence
ISBN: 9780821894170 / Angielski Termin realizacji zamówienia: ok. 30 dni roboczych. Let $F$ be a non-Archimedean local field. Let $mathcal_$ be the Weil group of $F$ and $mathcal_$ the wild inertia subgroup of $mathcal_$. Let $widehat _$ be the set of equivalence classes of irreducible smooth representations of $mathcal_$. Let $mathcal DEGREES_(F)$ denote the set of equivalence classes of irreducible cuspidal representations of $mathrm_(F)$ and set $widehat _ = igcup _{nge 1} mathcal DEGREES_(F)$. If $sigma in widehat _$, let $ DEGREES{sigma }in widehat _$ be the...
Let $F$ be a non-Archimedean local field. Let $mathcal_$ be the Weil group of $F$ and $mathcal_$ the wild inertia subgroup of $mathcal_...
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