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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
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