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Regular Tass' Office Hour | notes on representation theory, etc.notes on representation theory, etc. (by Chun-Ju Lai)
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Regular Tass' Office Hour | notes on representation theory, etc. | rtassoh.wordpress.com Reviews
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notes on representation theory, etc. (by Chun-Ju Lai)
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2011 | Regular Tass' Office Hour
https://rtassoh.wordpress.com/2011
Regular Tass' Office Hour. Archive for 2011 Yearly archive page. 與王偉強有約 – (7) Representations of Lie Algebras in Prime Characteristic. Representations of Lie Algebras in Prime Characteristic. 本次重點是 standard Levi form 所引生的 X/ZI-grading structure 給. Read the rest of this entry ». 9654; View 3 Comments. 與王偉強有約 – (6) Representations of Lie Algebras in Prime Characteristic. Representations of Lie Algebras in Prime Characteristic. 現在 g:reductive, chi:nilpotent, 要用 Premet’s Theorem. 若 m. A) m 與 centralizer.
與王偉強有約 – (3) Representations of Lie Algebras in Prime Characteristic | Regular Tass' Office Hour
https://rtassoh.wordpress.com/2011/10/21/與王偉強有約-3-representations-of-lie-algebras-in-prime-characteristic
Regular Tass' Office Hour. 與王偉強有約 – (3) Representations of Lie Algebras in Prime Characteristic. 以下 g 表 Lie algebra over alg. closed field K of char p 0. 為了分類 g-modules, 前幾章證明可將它 reduce 成分類 simple. 即是 automorphisms of g as restricted Lie algebras. 即是 automorphisms of g as Lie algebras 中. 尊重 pth power map 的那些自同構所形成的子群. 又, 代數幾何告訴我們若 g = Lie(G) for algebraic group G,. Orbit 到 G =. 由 Jordan form, G 中元素可 up to conjugate 寫成兩類. 這是一個 Humpreys 裡面的習題, simple modules 就是 L(0), L(1), … L(p-1). 兩兩不同構, 因此 simple. Onlin...
台大數學所和 UVa 數學所的差異 | Regular Tass' Office Hour
https://rtassoh.wordpress.com/2011/09/07/台大數學所和-uva-數學所的差異
Regular Tass' Office Hour. 如果台大數學一年只錄取 10 人不到, 那就可以像美國學校一樣養出有戰力的學生. 在這邊沒有人會說 “你讀數學系, 以後可以幹甚麼(非數學家的工作) “. 不是說台大數學沒有這樣的人 當然有, 只是比例問題,. 不過誇張的是, 助教說其中有一題的解答,. 一班實分析好像有 30人, 所以剩下的 1/3 剛好可以組成一個有志氣的數學所. 不是必修不打緊, 幾年才開一次課, well…. 聽說林紹雄的李代數只教完 Erdmann and Wildon, 那連皮毛都沒抓到. 因為他只讀 Dummit and Foote 中記載的群表現, 份量很少. 最有關的反而是李白飛環論中講 wedderburn theory 時, 講它在群表現上的應用. 再者, 現代代數學家一定要學 homological algebra. 並且說是 “例子”, 代數拓樸中的物件也過於抽象, 無法體會 extension 的感覺. 可以從 Z-modules 開始講一些 functors 的作用. 我學到這個也是因為唸了 Humphreys 的 Category O. Eu, S-P...
環論 | Regular Tass' Office Hour
https://rtassoh.wordpress.com/2011/02/22/環論
Regular Tass' Office Hour. 1 我們研究環 會分成 交換環 與 非交換環. 非交換環也有相當多的例子 如矩陣環 $M n(K)$, 各種 algebras… 等. 這裡的 algebra 不是課名, 是一種代數結構. 粗淺的說, 一個 algebra 同時是一個 ring 和一個 vector space. 換句話說, 一個 algebra $A$ 就是一個 ring $A$, 配上向量空間的結構 $K times A rightarrow A$. 2 在古時候, algebra 不叫 algebra, 稱作 hypercomplex system. 顧名思義, 這種定義是由 complex number 所推廣而來的. 既然都說是古時候了, 那個時代的數學家不相信 “根號-1” 存在. 譬如說 Gauss, 他這樣定義 i:. 把 $ mathbb{C}$ 看作 $ mathbb{R} 2 = { (x,y): x, y in mathbb{R} }$, 定義:. 加法 $(a,b) (c,d) = (a c,b d)$. 因此我們定義 algebra 要有 乘法結合律.
與王偉強有約 – (7) Representations of Lie Algebras in Prime Characteristic | Regular Tass' Office Hour
https://rtassoh.wordpress.com/2011/11/17/與王偉強有約-7-representations-of-lie-algebras-in-prime-characteristic
Regular Tass' Office Hour. 與王偉強有約 – (7) Representations of Lie Algebras in Prime Characteristic. Representations of Lie Algebras in Prime Characteristic. 本次重點是 standard Levi form 所引生的 X/ZI-grading structure 給. 10 Standard Levi Forms. 從頭回想, 我們要研究 g-modules 其中 g = Lie(G) 為 f.d. reductive Lie algebra / alg. closed K of char p 0 G: “good” algebraic group / K. In g* 之後, 便可定 restricted enveloping algebra. 便能將 g-modules with p-character. B) 由 Premet’s Theorem 的 corollary, 我們可以將問題 reduce 成. 有 std Levi form 時,.
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Regular Tass Office Hour: 2011.11
http://rtassoh.blogspot.com/2011_11_01_archive.html
Regular Tass Office Hour. 但是 blogger 對 LaTeX 的支持太差了. 請造訪 http:/ rtassoh.wordpress.com. 與王偉強有約 - (7) Representations of Lie Algebras in Prime Characteristic. 160; Representations of Lie Algebras in Prime Characteristic. 160; Jens Carsten Janzten. 本次重點是 standard Levi form 所引生的 X/ZI-grading structure 給 $U chi(g)$-modules 帶來的好處. 標籤： Lie Algebra. 與王偉強有約 - (6) Representations of Lie Algebras in Prime Characteristic. 160; Representations of Lie Algebras in Prime Characteristic. 標籤： Lie Algebra.
Regular Tass Office Hour: 轉台到 wordpress 啦
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Regular Tass Office Hour. 但是 blogger 對 LaTeX 的支持太差了. 請造訪 http:/ rtassoh.wordpress.com. 訂閱： 張貼留言 (Atom). 與王偉強有約 - (7) Representations of Lie Algebras in Pr. 與王偉強有約 - (6) Representations of Lie Algebras in Pr. 與王偉強有約 - (5) Representations of Lie Algebras in Pr. Simple範本. 由 Blogger.
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Regular Tass Office Hour
Regular Tass Office Hour. 但是 blogger 對 LaTeX 的支持太差了. 請造訪 http:/ rtassoh.wordpress.com. 與王偉強有約 - (7) Representations of Lie Algebras in Prime Characteristic. 160; Representations of Lie Algebras in Prime Characteristic. 160; Jens Carsten Janzten. 本次重點是 standard Levi form 所引生的 X/ZI-grading structure 給 $U chi(g)$-modules 帶來的好處. 標籤： Lie Algebra. 與王偉強有約 - (6) Representations of Lie Algebras in Prime Characteristic. 160; Representations of Lie Algebras in Prime Characteristic. 標籤： Lie Algebra.
Regular Tass' Office Hour | notes on representation theory, etc.
Regular Tass' Office Hour. 與王偉強有約 – (7) Representations of Lie Algebras in Prime Characteristic. Representations of Lie Algebras in Prime Characteristic. 本次重點是 standard Levi form 所引生的 X/ZI-grading structure 給. Read More and Comment ». 與王偉強有約 – (6) Representations of Lie Algebras in Prime Characteristic. Representations of Lie Algebras in Prime Characteristic. 現在 g:reductive, chi:nilpotent, 要用 Premet’s Theorem. 若 m. G 為 unipotent subalgebra 滿足. A) m 與 centralizer. Mod 都 free over. Top Posts and Pages.
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