Chun-Ju Lai

微中子比光速快

In Physics on 2011/11/20 at 4:04 PM

有影無?
之前被人說是誤差成份較大
現在他們再度檢驗 說這次沒問題了

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arXiv 文檔

與王偉強有約 – (7) Representations of Lie Algebras in Prime Characteristic

In Lie Algebra, Math, Representation on 2011/11/17 at 5:04 PM

Representations of Lie Algebras in Prime Characteristic,
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

與王偉強有約 – (6) Representations of Lie Algebras in Prime Characteristic

In Lie Algebra, Math, Representation on 2011/11/10 at 5:03 PM

Representations of Lie Algebras in Prime Characteristic,
Jens Carsten Janzten

7. Premet Theorem

現在 g:reductive, \chi:nilpotent, 要用 Premet’s Theorem. 若 m{\leq} g 為 unipotent subalgebra 滿足
a) m 與 centralizer {c_g(\chi)} 交集為空
b) {\chi([m,m])} = 0 c) {\chi(m^{[p]})} = 0
則每個 {U_\chi(g)}-mod 都 free over {U_\chi(m)}

來證明 [Kac-Weisfeiler Conjecture]

{U_\chi(g)}-mod M 來說 {p^{\dim G.\chi /2}|\dim M}

(proof)