[過去ﾛｸﾞ] ガロア第一論文及びその関連の資料スレ (1002ﾚｽ)
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277(1): 2023/02/08(水)02:50:04.11 ID:QPnDWgeK(1) AAS
TeXぐらいすら知らんのか。
390(2): 2023/02/13(月)15:48:09.11 ID:xsCTjZGt(4/8) AAS
>>389
つづき
In fact I now think the best way to understand a vertex algebra is to first really understand its topological analog, the structure of local operators in 2d topological field theory. If you check out any article about topological field theory it will explain that in a 2d TFT, we assign a vector space to the circle, it obtains a multiplication given by the pair of pants, and this multiplication is commutative and associative (and in fact a commutative Frobenius algebra, but I'll ignore that aspect here). It's very helpful to picture the pair of pants not traditionally but as a big disc with two small discs cut out -- that way you can see the commutativity easily, and also that if you think of those discs as small (after all everything is topologically invariant) you realize you're really describing operators labeled by points (local operators in physics, which we insert around a point) and the multiplication is given by their collision (ie zoom out the picture, the two small discs blend and look like one disc, so you've started with two operators and gotten a third).
Anyway this is getting long - to summarize, a vertex algebra is the holomorphic refinement of an E2
algebra, aka a "vector space with the algebraic structure inherent in a double loop space", where we allow holomorphic (rather than locally constant or up-to-homotopy) dependence on coordinates.
つづく
436(3): 2023/02/14(火)21:32:54.11 ID:feBbhNmb(1/3) AAS
暇な老人たち
632(2): 2023/02/19(日)11:17:26.11 ID:ynjTT/Eh(2/19) AAS
>>631
つづき
外部ﾘﾝｸ:en.wikipedia.org
Vorlesungen uber Zahlentheorie (German for Lectures on Number Theory) is the name of several different textbooks of number theory. The best known was written by Peter Gustav Lejeune Dirichlet and Richard Dedekind, and published in 1863.
Dirichlet and Dedekind's book
This translation does not include Dedekind's Supplements X and XI in which he begins to develop the theory of ideals.
The German titles of supplements X and XI are:
省14
772: 2023/02/25(土)10:19:25.11 ID:Bp7ZbkYv(6/8) AAS
>>765
でも、君、そもそも有限要素法知らないんでしょ？
正則行列も知らないくらいだから
終わってるな 人として
サルは数学なんか諦めて別のことしなよ
776: 2023/02/25(土)10:39:52.11 ID:ZowC59iz(8/26) AAS
>>775
> 3）金子晃「線形代数講義」サイエンス社，2004
おお！
アレクセイカーネンコ！！>>765
786(2): 2023/02/25(土)18:16:00.11 ID:ZowC59iz(17/26) AAS
>>771
>>>764
>そして君も異常仲間 よかったな
>>764の彼が、異常かどうかは別問題として
>>764「みんな君の方が異常だと気付いている」
の彼は
>>653の”東大の一年生向けのセミナーの教材がこれだったが
省6
847(1): 2023/02/26(日)17:40:38.11 ID:ZAlHQVD3(18/24) AAS
>>844
>クロネッカーがそういったのは知ってるが、
>なんでそんなことを思いついたのか知らん
楕円函数うんぬんは別として
クロネッカー・ウェーバーを、何らかの形で一般化できないかと考える
これ、数学者の普通の思考でしょ
で、多分半分は経験と勘で、”楕円函数使えるかも”として
省2
860(1): 2023/02/26(日)21:37:35.11 ID:lKvrLaqy(5/6) AAS
代数幾何の人たちは解析が嫌いだから
乗数イデアルについての
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