Timeline for When is a hypersurface in a quasi-polynomial ring finite dimensional?
Current License: CC BY-SA 4.0
15 events
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Jun 1, 2021 at 19:41 | answer | added | dhy | timeline score: 2 | |
Jun 1, 2021 at 17:24 | comment | added | Gro-Tsen | It seems desirable to understand how, precisely, your algebra of “quasi-polynomials” relates to the exterior algebra (aka “Grassmann numbers”): since the latter adds the relations $x_i^2=0$, it is a quotient of the former, but can we describe the former from the latter in a useful way? | |
Jun 1, 2021 at 15:59 | history | edited | YCor | CC BY-SA 4.0 |
added command
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Jun 1, 2021 at 15:58 | history | rollback | YCor |
Rollback to Revision 3
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Jun 1, 2021 at 15:57 | history | rollback | YCor |
Rollback to Revision 2
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Jun 1, 2021 at 15:57 | comment | added | YCor | Actually the use of "newcommand" makes the change immediate to perform another change (just change within the first line defining laa/raa). Maybe $\langle\!\langle$ has the drawback of suggesting a formal series. $\langle - \rangle_\pm$ might be an option. | |
Jun 1, 2021 at 15:25 | comment | added | Mare | @YCor Ill wait for some other suggestions (maybe there is an official name) and then I might edit it later. | |
Jun 1, 2021 at 15:20 | comment | added | Mare | @YCor Looks nice but my feeling is that I have seen this before for something else (like Laurant non-commutative polynomials?). But I dont mind using this since no other meaning is important for this thread. | |
Jun 1, 2021 at 15:19 | comment | added | YCor | In any case the inequality signs $<,>$ imply an inadequate spacing. Possibility: $K\langle\!\langle x_i\rangle\!\rangle$? | |
Jun 1, 2021 at 15:19 | comment | added | Mare | @YCor My choice was not the best but I dont know an official notation. If there is a better notation, I dont mind any edit (but of course it should not have the same name as the non-commutative polynomial ring). | |
Jun 1, 2021 at 15:18 | history | rollback | YCor |
Rollback to Revision 1
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Jun 1, 2021 at 15:18 | comment | added | YCor | Oops, are you sure you don't wan't a less confusing notation for the skew-symmetric quotient? | |
Jun 1, 2021 at 15:12 | comment | added | Mare | @YCor thanks for the edit, but $K<x_i>$ and $K\la x_i\ra$ are different, thats why I used different notation. | |
Jun 1, 2021 at 15:11 | history | edited | YCor | CC BY-SA 4.0 |
formatting
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Jun 1, 2021 at 14:55 | history | asked | Mare | CC BY-SA 4.0 |