Arkady Berenstein
Geometry and Topology · 2003–2006
A researcher in the Science corpus: 4 papers; trusts 6 researchers and is trusted by 45 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 18 citations into it; #415 of 7,422 by trust here, #293 by citations
- Algebra and Number Theory — 13 citations into it; #530 of 2,864 by trust here, #523 by citations
- Mathematical Physics — 10 citations into it; #1,077 of 8,562 by trust here, #441 by citations
- Statistical and Nonlinear Physics — 8 citations into it; #1,315 of 10,127 by trust here, #2,503 by citations
Whom Arkady Berenstein trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Sergey Fomin
- Andrei Zelevinsky
- Kenneth A. Brown
- K. Goodearl
- Mikhail Kogan
- Michael I. Gekhtman
- M. Wakimoto
- N. Andruskiewitsch
- Michael Shapiro
Who trusts Arkady Berenstein overall
- C. Geiss
- B. Keller
- V. Fock
- Dylan Rupel
- Bernard Leclerc
- Ralf Schiffler
- Sergey Fomin
- Kyungyong Lee
- Mark Gross
- A. Goncharov
Papers from Arkady Berenstein's perspective
Ordered by how strongly the researchers Arkady Berenstein trusts endorse each paper. Same corpus, a different order for every researcher.
- On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups
- Cluster algebras I: Foundations
- Cluster algebras II: Finite type classification
- Infinite-Dimensional Lie Algebras
- Lectures on Algebraic Quantum Groups
- Finite Quantum Groups and Cartan Matrices
- Total positivity, Grassmannians, and networks
- Generalized associahedra via quiver representations
- Quivers with potentials and their representations I: Mutations
- The Laurent Phenomenon (Advances in Applied Mathematics)
Their papers
- Geometric and unipotent crystals II: From unipotent bicrystals to crystal bases (2006) — 109 citations
- Braided symmetric and exterior algebras (2005) — 72 citations
- Quantum cluster algebras (2004) — 384 citations
- Cluster algebras III: Upper bounds and double Bruhat cells (2003) — 712 citations