Timeline for Subalgebras of quadratic algebras that are not quadratic
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Sep 20, 2023 at 15:22 | history | edited | Vladimir Dotsenko | CC BY-SA 4.0 |
added an example of a non-quadratic subalgebra of a commutative Koszul algebra
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| Sep 19, 2023 at 18:17 | comment | added | Vladimir Dotsenko | @BugsBunny I added an example of a Koszul algebra having a non-quadratic subalgebra. | |
| Sep 19, 2023 at 18:16 | history | edited | Vladimir Dotsenko | CC BY-SA 4.0 |
added 803 characters in body
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| Sep 19, 2023 at 17:59 | comment | added | Vladimir Dotsenko | @BugsBunny good question! Apparently, not: the Koszul dual algebra is infinite-dimensional (the dual of the generator $x$ is not nilpotent) but the inverse of the Hilbert series of $A$ has zero as the coefficient of $t^4$, and these two things cannot happen simultaneously for a Koszul algebra. | |
| Sep 18, 2023 at 16:48 | comment | added | Bugs Bunny | Is your algebra $A$ Koszul? | |
| Sep 18, 2023 at 8:16 | vote | accept | Lorenzo Del Vecchiopontopolos | ||
| Sep 17, 2023 at 22:26 | history | answered | Vladimir Dotsenko | CC BY-SA 4.0 |