Representation Theory and Beyond

Released on by Jan Šťovíček
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  • Representation Theory and Beyond Book Detail

  • Author : Jan Šťovíček
  • Release Date : 2020-11-13
  • Publisher : American Mathematical Soc.
  • Genre : Education
  • Pages : 298
  • ISBN 13 : 147045131X
  • File Size : 53,53 MB
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Representation Theory and Beyond by Jan Šťovíček PDF Summary

Book Description: This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018, in Prague, Czech Republic. It presents several themes of contemporary representation theory together with some new tools, such as stable ∞ ∞-categories, stable derivators, and contramodules. In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory. The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher Auslander–Reiten theory studied via homotopy theory.

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Representation Theory and Beyond

Representation Theory and Beyond

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This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018,

Quadratic Algebras

Quadratic Algebras

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This book introduces recent developments in the study of algebras defined by quadratic relations. One of the main problems in the study of these (and similarly