Timeline for Linear algebra from the categorical point of view
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 8 at 2:57 | answer | added | Posina Venkata Rayudu | timeline score: 2 | |
| May 7, 2023 at 21:26 | history | edited | Rodrigo de Azevedo | CC BY-SA 4.0 |
edited title
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| May 7, 2023 at 20:56 | answer | added | Filip Bar | timeline score: 14 | |
| Oct 7, 2014 at 18:45 | answer | added | Martin Brandenburg | timeline score: 6 | |
| Oct 7, 2014 at 18:40 | comment | added | Martin Brandenburg | So many answers, hidden as comments. Please turn them into answers! @darij grinberg, SDevalapurkar | |
| Aug 27, 2014 at 12:28 | comment | added | Manuel Bärenz | I'd also be interested in a categorical book on group representation theory. It should contain the representation theory of the trivial group (= linear algebra) as a special case. | |
| Aug 18, 2014 at 23:38 | comment | added | user62675 | See also at ncatlab.org/nlab/show/integral+transforms+on+sheaves the analogy between locally presentable $\infty$-categories and vector spaces. "For $C,D\in\mathscr{Pr}\infty\mathscr{Cat}$, ..., we may think of $C,D$ as analogous to vector spaces". The nlab doesn't provide much literature on this correspondence, though. | |
| Aug 18, 2014 at 23:32 | comment | added | user62675 | At least over symmetric monoidal model categories, Bertrand Toën, Gabriele Vezzosi, Homotopical algebraic geometry II: geometric stacks and applications, 2004, arXiv:math/0404373, is perhaps what you're looking for. | |
| Aug 16, 2014 at 7:24 | comment | added | darij grinberg | I don't remember right out of my hat whether Paolo Aluffi's "Algebra 0" does much linear algebra (and I'm not at the computer which has it as PDF), but it certainly looks like a step in the right direction. Also, Kostrikin/Manin "Linear Algebra and Geometry", while not using the categorical approach right away, does introduce categories at some point (as well as tons of other interesting things). But now I'm seeing that these are exactly the first two suggestions on the Reddit thread... | |
| Aug 16, 2014 at 6:58 | history | edited | M. Carmona | CC BY-SA 3.0 |
edited title
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| Aug 16, 2014 at 0:38 | comment | added | Carlo Beenakker | reddit.com/r/math/comments/1eowe8/… | |
| Aug 15, 2014 at 23:05 | comment | added | Jim Humphreys | I suspect the answer is no, but find the question intriguing. At least in the US market, the typical linear algebra customer wants only matrix algorithms and specific problems that can be solved that way. Books tending toward abstraction have become almost extinct, even at the level of a second or third course. Bourbaki on the other hand stopped before venturing into category language. There are of course books on "universal algebra" and "category theory" but not what you are looking for. Good luck. | |
| Aug 15, 2014 at 22:24 | review | First posts | |||
| Aug 15, 2014 at 22:24 | |||||
| Aug 15, 2014 at 22:20 | history | asked | M. Carmona | CC BY-SA 3.0 |