Relative Nonhomogeneous Koszul Duality

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00553966" target="_blank" >RIV/67985840:_____/21:00553966 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-89540-2" target="_blank" >http://dx.doi.org/10.1007/978-3-030-89540-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-89540-2" target="_blank" >10.1007/978-3-030-89540-2</a>

Result language
angličtina
Original language name
Relative Nonhomogeneous Koszul Duality
Original language description
This book contains a detailed exposition of the nonhomogeneous Koszul duality theory in the relative situation over a noncentral, noncommutative, nonsemisimple base ring, as announced in Section 0.4 of [L. Positselski, 'Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures', Monografie Matematyczne IMPAN 70, Springer/Birkhäuser Basel, 2010.] We prove the Poincare-Birkhoff-Witt theorem in this context and construct the triangulated equivalences of derived Koszul duality. The duality between the ring of differential operators and the de Rham DG-algebra, with the ring of functions as the base ring, is the thematic example. The moderate generality level makes the exposition in this book more accessible than the very heavily technical Chapter 11 of ['Homological algebra of semimodules and semicontramodules'].
Czech name
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Czech description
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Project
<a href="/en/project/GA20-13778S" target="_blank" >GA20-13778S: Symmetries, dualities and approximations in derived algebraic geometry and representation theory</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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