(1)REPRESWEGNTzffygyzyTHEOR.ly A
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(2) REPRESWESNTz-ffygyzyTHEOR.ly →. 2 rhythm. →. iibungsschein. →. :. Exercises. tutorial /solution. :. session. let us know this week 6. /tutorial /solution session /. if you to obtain. one. .. .. -. .. Exercises per slot of two weeks. ↳. 3. example. to work OpenOLAT. ↳ 3 exercises in. exercises. to discuss during the on. on. your. own. tutorial. at home and hand. in.
(3) REPRESWEGNTz-ffygyzyTHEOR.ly B. .. BEFORE AND AFTER -. 9n:¥¥¥:a ¥%o %:mdmmeatgh:s \. ,. t. R¥%tat. I. a. ÷¥÷¥÷÷÷i÷%*i÷i ir¥¥.int#eissisO other M.sc -. Lie. .. lectures. Algebras.
(4) REPRESWEGNTzffygyzyTHEOR.ly C. BACKGROUND MODULE THEORY -. The. following elementary → →. →. → → →. →. See. notions of module. theory. are. assumed. as. known. :. Modules /sub modules/ homomorphisms /quotient modules Free modules / projective modules Direct sums / direct products Exact sequences / short exact sequences Tensor. products. Algebras. Appendix. 1. +. Revision Sheet O. ( tutorial. today. 12:00. -. 13:30. ).
(5) REPRESWEGNTzffygyzyTHEOR.ly D.. AIMS OF THE LECTURE. -. 1. .. Study representations of finite over. fields. K. g: G. groups. -. of positive characteristic. >. Eggequiv. particular through module theory over the group algebra KG. 2. in. KG. -. {. GUV ). .. with dim * V char k. -. l l Gl ① ②. = :. V. on. Problemstoovercomei ① Maschke 's theorem ② Character →. rn>. not every. representation. is. semisimple. !. major deficiencies ! E.g Xp Ha) only gives deg (g) modulo p replace characters by better " functions ! → the Brauer characters. theory. Have to. not true. has. .. ". ". It. p -. to. module structure. as. ". ..
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