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Reordering in noncommutative algebras associated with iterated function systems
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- Musonda, John, 1981- (author)
- The University of Zambia, ZMB
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- Richter, Johan, 1986- (author)
- Blekinge Tekniska Högskola,Institutionen för matematik och naturvetenskap,Blekinge Institute of Technology
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- Silvestrov, Sergei, Professor, 1970- (author)
- Mälardalens högskola,Utbildningsvetenskap och Matematik,MAM,Mälardalens Högskola, SWE
- (creator_code:org_t)
- 2020-06-19
- 2020
- English.
- In: Springer Proceedings in Mathematics and Statistics. - Cham : Springer. - 9783030418496 ; , s. 509-552
- Conference paper (peer-reviewed)
Abstract
Subject headings
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- A general class of multi-parametric families of unital associative complex algebras, defined by commutation relations associated with group or semigroup actions of dynamical systems and iterated function systems, is considered. A generalization of these commutation relations in three generators is also considered, modifying Lie algebra type commutation relations, typical for usual differential or difference operators, to relations satisfied by more general twisted difference operators associated with general twisting maps. General reordering and nested commutator formulas for arbitrary elements in these algebras are presented, and some special cases are considered, generalizing some well-known results in mathematics and physics. © Springer Nature Switzerland AG 2020.
Subject headings
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
Keyword
- Commutation relations
- Nested commutator formulas
- Noncommutative algebras
- Reordering formulas
- Dynamical systems
- Quantum theory
- Random processes
- Stochastic systems
- Commutation relation
- Complex algebra
- Difference operators
- General class
- Iterated function system
- Lie Algebra
- Non-commutative algebra
- Parametric family
- Algebra
- Mathematics/Applied Mathematics
Publication and Content Type
- ref (subject category)
- kon (subject category)
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