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Search: L773:9783031393341

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1.
  • Djinja, Domingos, 1985-, et al. (author)
  • Some algebraic properties of representations of polynomial covariance type commutation relations
  • 2023
  • In: Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures - Foundations and Applications. - : Springer. - 9783031393341 ; , s. 379-417
  • Book chapter (peer-reviewed)abstract
    • In this work conditions for additivity property of representations of polynomial covariance commutation relations are derived for operator algebras. Some other properties that this kind of representations fulfill are described. A reduction degree of the polynomial property of representations of this kind of commutation relations is presented for operator algebras. Moreover, representations of polynomial covariance commutation relations are derived for linear operators acting on the space of bounded real infinite sequences lp.
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2.
  • García Butenegro, German, et al. (author)
  • Elduque-Myung Type Mutations of Hom-algebras
  • 2023
  • In: Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures. - : Springer. - 9783031393334 - 9783031393341 ; , s. 295-330
  • Book chapter (peer-reviewed)abstract
    • Elduque-Myung type mutations of general, possibly non-associative, algebras and of several classes of Hom-algebras are explored. Several extensions of the results from scalar and non-scalar mutations of associative algebras to mutations of non-associative algebras and of several kinds of hom-algebras of hom-associative type are obtained, including general conditions, in terms of Hom-associators, commutators and general mutation elements (mutations parameters), for mutated Hom-algebras or non-associative algebras to be Hom-associative, Hom-flexible, 3-Hom-Power associative, as well as results on reductions of double parameter mutations to single parameter mutations in algebras and Hom-algebras. Several formulas for mutations of associative algebras are extended to arbitrary possibly non-associative algebras and Hom-algebras.
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  • Result 1-2 of 2
Type of publication
book chapter (2)
Type of content
peer-reviewed (2)
Author/Editor
Silvestrov, Sergei, ... (2)
Djinja, Domingos, 19 ... (1)
Tumwesigye, Alex Beh ... (1)
García Butenegro, Ge ... (1)
University
Mälardalen University (2)
Language
English (2)
Research subject (UKÄ/SCB)
Natural sciences (2)
Year
2023 (2)

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