5 problems

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Coxeter polynomial conjecture for non-negative posets of Dynkin type
Coxeter polynomial conjecture. If
Conjectureopencoxeter-polynomials dynkin-diagrams posetsarXiv posted 2 days ago
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The factorization conjecture for modified Coxeter polynomials of Hochschild posets
Let $c_n(x)$ be the Coxeter polynomial of the Hochschild poset $\mathsf{Tr}(n)$ . Define the modified Coxeter polynomial $f_n$ by … Here $d_n(i)$ are the integers referred to in the…
Conjectureopencombinatorics coxeter-polynomials posetsarXiv posted 2 days ago
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The cyclotomicity conjecture for Coxeter polynomials of Hochschild posets
Let $\mathsf{Tr}(n)$ be the Hochschild poset, and let $c_n(x)$ be its Coxeter polynomial, namely the characteristic polynomial of its Coxeter matrix. Cyclotomicity conjecture. The…
Conjectureopencoxeter-polynomials posets representation-theoryarXiv posted 2 days ago
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Separation and weight recovery for extended canonical algebras
Separation and weight-recovery conjecture. The class $C$ of extended canonical algebras with three weights has the separation property, and the weight type of an extended canonical…
Conjectureopencanonical-algebras coxeter-polynomials representation-theoryarXiv posted 2 days ago
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Realizability of self-reciprocal polynomials by triangular algebras
Realizability conjecture. All self-reciprocal polynomials are realizable as Coxeter polynomials of triangular algebras.
Conjectureopencoxeter-polynomials finite-dimensional-algebras representation-theoryarXiv posted 2 days ago

5 problems

Coxeter polynomial conjecture for non-negative posets of Dynkin type

The factorization conjecture for modified Coxeter polynomials of Hochschild posets

The cyclotomicity conjecture for Coxeter polynomials of Hochschild posets

Separation and weight recovery for extended canonical algebras

Realizability of self-reciprocal polynomials by triangular algebras