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Some algebraic properties of representations of polynomial covariance type commutation relations
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- Domingos, Celso Djinja (author)
- Mälardalens universitet,Utbildningsvetenskap och Matematik,MAM
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- Silvestrov, Sergei, Professor, 1970- (author)
- Mälardalens universitet,Utbildningsvetenskap och Matematik,MAM
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- Tumwesigye, Alex Behakanira, 1982- (author)
- Makerere University, Department of Mathematics, College of Natural Sciences, Kampala, Uganda
- (creator_code:org_t)
- Springer, 2023
- 2023
- English.
- In: Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures - Foundations and Applications. - : Springer. - 9783031393341 ; , s. 379-417
- Book chapter (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- covariance commutation relations
- additivity property
- representations
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Publication and Content Type
- ref (subject category)
- kap (subject category)
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