4 problems

The conjectural extension of the module-variety reconstruction theorem
Conjecture. Theorem 1 would remain valid without any assumptions on the algebras $A$ and $B$ other than their being isomorphic as graded $S$ -modules; equivalently, the conditions i…
opencohen-macaulay-modules commutative-algebra module-varieties
0 responses
02
Two-vertex conjecture for minimal geometrically irreducible algebras
Let $A=KQ/{\mathcal I}$ be a finite-dimensional algebra presented by a quiver with relations. Call $A$ minimal if ${\mathcal I}=0$ , or if every generating set of relations satisfie…
openmodule-varieties quivers representation-theory
0 responses
04
Weyman's multiplicity-free conjecture: Schur-representation-finiteness and MF
Multiplicity-free conjecture. An algebra is Schur-representation-finite if and only if it is MF.
openfinite-dimensional-algebras module-varieties representation-theory
0 responses
04
Weyman's dense orbit conjecture for triangular algebras
Dense orbit conjecture. The following statements are equivalent:
openfinite-dimensional-algebras module-varieties representation-theory
0 responses
03

The conjectural extension of the module-variety reconstruction theorem