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Lie polynomial char...
Lie polynomial characterization problems
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- Cantuba, Rafael Reno (author)
- De La Salle University, Malate, Manila, Philippines
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- Silvestrov, Sergei, Professor, 1970- (author)
- Mälardalens högskola,Utbildningsvetenskap och Matematik,MAM
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(creator_code:org_t)
- 2020-06-19
- 2020
- English.
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In: Algebraic Structures and Applications. - Cham : Springer Nature. - 9783030418496 ; , s. 593-601
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- We present a review of some results about Lie polynomials in finitely-generated associative algebras with defining relations that involve deformed commutation relations. Such algebras have arisen from various areas such as in the theory of quantum groups, of q-oscillators, of q-deformed Heisenberg algebras, of orthogonal polynomials, and even from algebraic combinatorics. The q-deformed Heisenberg-Weyl relation is so far the most successful setting for a Lie polynomial characterization problem. Both algebraic and operator-theoretic approaches have been found. We also discuss some partial results for other algebras related to quantum groups.
Subject headings
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
Keyword
- Lie polynomial
- Lie subalgebra
- generators and relations
- diamond lemma
- associative algebra
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Publication and Content Type
- ref (subject category)
- kap (subject category)
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