Timeline for Strange modules over symmetric algebras
Current License: CC BY-SA 3.0
7 events
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| Aug 26, 2017 at 10:31 | history | edited | Mare | CC BY-SA 3.0 |
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| Aug 26, 2017 at 9:10 | history | edited | Mare | CC BY-SA 3.0 |
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| Aug 26, 2017 at 9:05 | comment | added | Mare | @JasonStarr Im sorry. I forgot to add that my algebras are finite dimensional. So for me symmetric means that it is a Frobenius algebra with symmetric bilinear form. In this situation the algebras always have infinite global dimension expect when they are semisimple. | |
| Aug 26, 2017 at 9:04 | history | edited | Mare | CC BY-SA 3.0 |
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| Aug 26, 2017 at 9:03 | comment | added | Jason Starr | For you, what is a symmetric algebra? For a polynomial ring $A=k[x_1,\dots,x_n]$, which many of us consider to be a "symmetric algebra" on $kx_1\oplus \dots \oplus kx_n$, the module $M=A/\langle x_1,\dots,x_n \rangle$ is indecomposable, it is not projective, and $\psi_M$ equals $n$. This continues to be true if you localize $A$ at the maximal ideal $\langle x_1,\dots,x_n \rangle$. | |
| Aug 26, 2017 at 9:00 | history | edited | Mare | CC BY-SA 3.0 |
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| Aug 26, 2017 at 8:55 | history | asked | Mare | CC BY-SA 3.0 |