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math.QAJan 18, 2020
4
citations (OpenAlex)
authors
  • Dimitri Gurevich
  • Pavel Saponov
institutions
  • Institute for High Energy Physics
  • Interdisciplinary Scientific Center J.-V. Poncelet
  • Kurchatov Institute
  • National Research University Higher School of Economics
  • Université de Valenciennes et du Hainaut-Cambrésis
  • Université Polytechnique Hauts-de-France
arXiv abstractPDF
paper

Doubles of associative algebras and their applications

arXiv:2001.06660 · doi:10.1134/S1547477120050167

Abstract

For a couple of associative algebras we define the notion of their double and give a set of examples. Also, we discuss applications of such doubles to representation theory of certain quantum algebras and to a new type of Noncommutative Geometry.

Cited by in corpus (2)

  • Matrix Capelli identities related to Reflection Equation algebra
  • Quantum doubles of Fock type and bosonization
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