Sergei Silvestrov

Algebra and Number Theory · 2000–2016

A researcher in the Science corpus: 19 papers; trusts 12 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 32 citations into it; #58 of 2,864 by trust here, #23 by citations
• Geometry and Topology — 31 citations into it; #317 of 7,422 by trust here, #157 by citations
• Mathematical Physics — 22 citations into it; #800 of 8,562 by trust here, #415 by citations
• Statistical and Nonlinear Physics — 9 citations into it; #825 of 10,127 by trust here, #1,486 by citations

Whom Sergei Silvestrov trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Daniel S. D. Larsson
2. Donald Yau
3. Abdenacer Makhlouf
4. F. Nijhoff
5. A. Veselov
6. Alexander I. Bobenko
7. F. van Oystaeyen
8. Yu-cai Su
9. Yuri B. Suris
10. Michel Goze

Who trusts Sergei Silvestrov overall

1. Abdenacer Makhlouf
2. Donald Yau
3. F. Ammar
4. Daniel S. D. Larsson
5. Y. Sheng
6. S. Benayadi
7. Florin Panaite
8. Yael Fregier
9. Aron Gohr
10. H. Ataguema

Papers from Sergei Silvestrov's perspective

Ordered by how strongly the researchers Sergei Silvestrov trusts endorse each paper. Same corpus, a different order for every researcher.

1. Classification of Quasifinite Modules over the Lie Algebras of Weyl Type
2. Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
3. Quasi-Lie algebras
4. Integrable systems on quad-graphs
5. Yang–Baxter maps and integrable dynamics
6. Discrete Dynamical Systems with W(A(1)m−1 × A(1)n−1) Symmetry
7. Lie-admissible algebras and operads
8. Generalization of n-ary Nambu algebras and beyond
9. Hom-algebras and homology
10. Lax pair for the Adler (lattice Krichever–Novikov) system

Their papers

• Generalization of n-ary Nambu algebras and beyond (2008) — 135 citations
• Fractional-Wavelet Analysis of Positive definite Distributions and Wavelets on $$\varvec{\mathscr {D'}}(\mathbb {C})$$ (2016) — 53 citations
• Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras (2013) — 57 citations
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras (2010) — 236 citations
• Unital algebras of Hom-associative type and surjective or injective twistings (2009) — 60 citations
• Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions (2009) — 54 citations
• Hom-algebras and Hom-coalgebras (2008) — 285 citations
• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras (2007) — 132 citations
• Hom-Lie Admissible Hom-coalgebras and Hom-Hopf Algebras (2007) — 189 citations
• On Hom-algebra structures (2006) — 506 citations
• Dynamical Systems and Commutants in Crossed Products (2006) — 48 citations
• Quasi-Deformations of sl_2(\F) using twisted derivations (2005) — 102 citations
• Quasi-Deformations of 𝔰𝔩2(𝔽) Using Twisted Derivations (2005) — 79 citations
• Quasi-Lie algebras (2004) — 135 citations
• Representations and Cocycle Twists of Color Lie Algebras (2004) — 59 citations
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities (2004) — 345 citations
• Deformations of Lie Algebras using σ-Derivations (2004) — 788 citations
• Burchnall-Chaundy Theory for q-Difference Operators and q-Deformed Heisenberg Algebras (2003) — 65 citations
• Commuting Elements in Q-Deformed Heisenberg Algebras (2000) — 90 citations