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On (σ,τ)-Derivation...
On (σ,τ)-Derivations of Group Algebra as Category Characters
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- Alekseev, Aleksandr (author)
- Independent University of Moscow (IUM), Bolshoy Vlasyevskiy Pereulok 11, Moscow, 119002, Russian Federation
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- Arutyunov, Andronick (author)
- V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya Street, Moscow, 117997, Russian Federation
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- Silvestrov, Sergei, Professor, 1970- (author)
- Mälardalens universitet,Utbildningsvetenskap och Matematik,MAM
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Independent University of Moscow (IUM), Bolshoy Vlasyevskiy Pereulok 11, Moscow, 119002, Russian Federation V A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya Street, Moscow, 117997, Russian Federation (creator_code:org_t)
- Springer, 2023
- 2023
- English.
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In: Non-commutative and Non-associative Algebra and Analysis Structures. - : Springer. - 9783031320088 ; , s. 81-99
- 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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- For the space of (σ,τ)-derivations of the group algebra C[G] of a discrete countable group G, the decomposition theorem for the space of (σ,τ)-derivations, generalising the corresponding theorem on ordinary derivations on group algebras, is established in an algebraic context using groupoids and characters. Several corollaries and examples describing when all (σ,τ)-derivations are inner are obtained. Considered in details are cases of (σ,τ)-nilpotent groups and (σ,τ)-FC groups.
Subject headings
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
Keyword
- Group algebra
- Derivation
- (σ
- τ)-derivation
- Groupoid
- Character
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Publication and Content Type
- ref (subject category)
- kon (subject category)
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