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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
Jun 1, 2021 at 15:58 history rollback YCor
Rollback to Revision 3
Jun 1, 2021 at 15:57 history rollback YCor
Rollback to Revision 2
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
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
Jun 1, 2021 at 14:55 history asked Mare CC BY-SA 4.0