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| Some Remarks on Level Algebras |
| Abstract: This is a preliminary report on
some work being done in collaboration with T. Harima, J.C. Migliore
and J.S. Shin in an attempt to get a handle on the question:
what can be the Hilbert function of a level algebra?
Level algebras are an important class of algebras which have appeared in several places both in algebra and geometry and a better understanding of their structure would be interesting. The most important recent work on their structure has been done by Stanley, Boij, Iarrobino (and collaborators) and Froberg-Laksov. In my talk I will give some background information about where level algebras appear, what was known about them and what new things we have found recently. I will also discuss some open problems that the four of us are still considering. |