---
res:
  bibo_abstract:
  - Let $\mathbb{k}$ be a finite field and $\mathcal{A}, \mathcal{B}$ be $\mathbb{k}$-linear
    $\mathsf{Ext}$-finite hereditary abelian categories. A theorem of Cramer asserts
    that, under suitable assumptions, a derived equivalence $\mathcal{D}^b(\mathcal{A})
    \!\longrightarrow\! \mathcal{D}^b(\mathcal{B})$ between two such categories induces
    an algebra isomorphism of the corresponding double Hall algebras $\mathsf{DH}_\mathcal{A}
    \!\longrightarrow\! \mathsf{DH}_\mathcal{B}$. It turns out that a counting formula
    for certain distinguished triangles in $\mathcal{D}^b(\mathcal{A})$, on which
    Cramer's proof relies, is incorrect in general. We give a corrected proof of Cramer's
    theorem which preserves the overall strategy of his approach.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Igor
      foaf_name: Burban, Igor
      foaf_surname: Burban
      foaf_workInfoHomepage: http://www.librecat.org/personId=72064
  - foaf_Person:
      foaf_givenName: Daniel
      foaf_name: Perniok, Daniel
      foaf_surname: Perniok
      foaf_workInfoHomepage: http://www.librecat.org/personId=64242
  dct_date: 2026^xs_gYear
  dct_language: eng
  dct_title: Double Hall algebras and derived equivalences revisited@
...