sun123zxy’s blog
  • Overview
  • About
    • All Posts
Categories
All (4)
algebra (3)
geometry (1)
math (4)

废液缸

Academic Waste

Drafts WIP and shelved writings.

神奇流形在哪里

Fantastic Manifolds and Where to Find Them
math
geometry
\[ \gamma(t) := (e^{2\pi i t}, e^{2 \pi i \alpha t}) \] is an \(\mathbb R \to \mathbb T^2 \subset \mathbb C^2\) immersion (Note that it’s injective!). The corresponding…
short
 

零点定理乱炖

Suspicious Nullstellensatz Soup
math
algebra
我们在代数闭域 \(K = \overline K\) 中工作.环均为含幺交换环.记 \(K[\boldsymbol X]\) 为 \(K\) 上的多元多项式环.
zh
 

从一般线性群 \(\operatorname{GL}_n(\mathbb F_q)\) 的 Sylow \(p\)-子群谈起

Rambling from the Sylow \(p\)-subgroups of the General Linear Group \(\operatorname{GL}_n(\mathbb F_q)\)
math
algebra
设 \(p\) 为素数,\(q = p^\alpha\).我们引入一点先进的 \(q\)-analog 记号: \[ \begin{aligned}[] [n]_q &:= \frac{q^n - 1}{q - 1} = q^{n-1} + q^{n-2} + \cdots + q + 1 \\ [n]_q! &:=…
zh
short
 

诱导表示乱炖

math
algebra
在日常生产生活中,我们经常需要将一个群表示从一个子群扩展到整个群.在所有可能的选择中,诱导表示是最自然的一种.
2025/06/07
zh
short
No matching items

Proudly powered by Quarto

sun123zxy’s blog

  • Thanks