TY - BOOK AU - Ritter,J. TI - Representation Theory and Number Theory in Connection with the Local Langlands Conjecture T2 - Contemporary Mathematics SN - 9780821876749 AV - QA241 -- .R44 1989eb U1 - 512/.74 PY - 1989/// CY - Providence PB - American Mathematical Society KW - Algebraic number theory -- Congresses KW - Representations of groups -- Congresses KW - Electronic books N1 - Intro -- Contents -- Preface -- Participants -- The irreducible representation of the multiplicative group of a tame division algebra over a local field (following H. Koch and E.-W. Zink). -- Sequences of Eisenstein polynomials and arithmetic in local division algebras. -- Koch's classification of the primitive representations of a Galois group of a local field. -- On the numerical local Langlands conjecture. -- Ramification of Weil representations of local Galois groups. -- Representations of certain group extensions. -- Trace calulations. -- Root numbers - the tame case. -- Representations of locally profinite groups. -- The theorems of Bernstein and Zelevinskii. -- Principal orders and congruence Gauß sums. -- The functional equation є-factors -- Root numbers and the local Langlands conjecture. -- On the exceptional representations of GLN. -- Characters of representations of Dn. -- Matching and formal degrees for division algebras and GLn over a p-adic field. -- Tame representations and base change. -- Gauß sums and supercuspidal representations of GLn. -- Identitiés on degree two gamma factors. -- A conjecture on minimal K-types for GLn over a p-adic field. -- Preuve de la conjecture de Langlands locale numerique pour GL(n). -- References UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113037 ER -