nLab Leonid Positselski

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Selected writings

On semisimple Lie groups

• L. E. Positsel’skii, Local Plücker formulas for a semisimple Lie group, Funct Anal Its Appl 25, 291–292 (1991) [doi:10.1007/BF01080085]

On homological algebra:

• Leonid Positselski, Homological algebra of semimodules and semicontramodules. Semi-infinite homological algebra of associative algebraic structures, Instytut Matematyczny Polskiej Akademii Nauk 70 [arXiv:0708.3398]

On cosheaves:

• Leonid Positselski, Contraherent cosheaves, arxiv:1209.2995

On derived categories:

• Leonid Positselski, Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence, arXiv:0905.2621
• Leonid Positselski, Contramodules, arxiv:1503.00991

On quasi-coherent sheaves:

• Leonid Positselski, Semi-infinite algebraic geometry of quasi-coherent sheaves on ind-schemes, Springer (2023) [doi:10.1007/978-3-031-37905-5, arXiv:2104.05517]

• Semi-infinite algebraic geometry of quasi-coherent torsion sheaves, presentation, Prague (2024) [pdf]

On $\lambda$-small objects in PIE-limits:

• Leonid Positselski, Notes on limits of accessible categories, arXiv:2310.16773

On pure morphisms:

• Leonid Positselski: On pure monomorphisms and pure epimorphisms in accessible categories, Theory and applications of categories 45 7 (2026) 246–288 [tac:45-07]

Related entries

• model structure on dg-comodules

category: people