Thomas Keilen's Algebra I. Lecture Notes PDF

By Thomas Keilen

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ZELEVINSKI, Representations of the group GL(n,F) where F is a non archimedean local field, Russian Math. Surveys 31 (1976), 1-68. FLATH, Decomposition of representations into tensor products, in Automorphic forms, representations and L-functions, Proc. Symp. in Pure Math. XXXIII, AMS 1979, 179-184. HOWE, ~-series and invariant theory, in Automorphic forms, representations and L-functions, Proc. Symp. in Pure Math. XXXIII, AMS 1979, 275-286. HOWE, Transcending classical invariant theory, preprint.

Symp. in Pure Math. XXXIII, AMS 1979, 275-286. HOWE, Transcending classical invariant theory, preprint. HOWE, Invariant theory and duality for classical groups over finite fields, with applications to their singular representation theory, preprint. VERGNE, The Well representation, Maslov index and thSta series, Progress in Math. 6, Birkh~user, Boston, Basel, Stuttgart 1980. MOORE, Group extensions of p-adic and adelic linear groups, Publ. IHES 35 (1968), 5-70. PERRIN, Representations de SchrSdinger.

48 Conjecture. S i F est local non archim~dien, V 2'' __deV~, invariant par il existe un unique sous-espace , tel que V2/V 2 soit irr~ductible. Si cette assertion est vraie, on note V2-V2/V 2, ~ 2 la representation de H 2 dans V 2. On dit que ~2 correspond g ~ l . Remarques. 2. 6, et au chap. 17, si la conjecture est vraie pour toute paire r~ductive duale irr~ductible, elle est vraie pour toute paire r~ductive duale. 2. ). (4) L'analogue pour F = ~ a 4t~ d4montr~ par Howe ([H2]). (5) L'analogue de la conjecture pour F fini est faux (voir [H3]).

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Algebra I. Lecture Notes by Thomas Keilen


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