Some homological properties of GL (m/n) in arbitrary characteristic

Alexandr N. Zubkov

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We generalize the Borel-Bott-Weil theorem for general linear supergroup over a field of odd characteristic. We also prove a partial generalization of Kempf's vanishing theorem and calculate Euler characteristics of all Borel supersubgroups in GL(m/n).

Original languageEnglish
Article number1650119
JournalJournal of Algebra and its Applications
Issue number7
Publication statusPublished - Sept 1 2016
Externally publishedYes


  • Borel-Bott-Weil theorem
  • General linear supergroup
  • Kempf's vanishing theorem

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


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