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Enveloping algebras...
Enveloping algebras of certain types of color hom-Lie algebras
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- Armakan, Abdoreza (author)
- Shahid Bahonar University of Kerman, Kerman, Iran
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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 - 9783030418502 ; , s. 257-284
- 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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- In this paper the universal enveloping algebra of color hom-Lie algebras is studied. A construction of the free hom-associative color algebra on a hom-module is described for a certain type of color hom-Lie algebras and is applied to obtain the universal enveloping algebra of those hom-Lie color algebras. Finally, this construction is applied to obtain the extension of the well-known Poincaré–Birkhoff–Witt theorem for Lie algebras to the enveloping algebra of the certain types of color hom-Lie algebra such that some power of the twisting map is the identity map.
Subject headings
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
Keyword
- Color hom-Lie algebra
- Enveloping algebra
- Color
- Random processes
- Stochastic systems
- Lie Algebra
- Universal enveloping algebras
- Algebra
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Publication and Content Type
- ref (subject category)
- kap (subject category)
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