Berenstein, Arkady
- Cluster algebras III: Upper bounds and double Bruhat cells
2003/05/30 by Arkady Berenstein, Berenstein, Arkady, Sergey Fomin +3 · 14 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #math.AC #math.AG #math.RT
- Quantum cluster algebras
2004/04/24 by Arkady Berenstein, Andrei Zelevinsky, Berenstein, Arkady +1 · 9 citations
Mathematics · Physics and Astronomy · #14M17 #20G42 #22E46 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.AG #math.QA #math.RT #msc:14M17 #msc:20G42 #msc:22E46
- Tensor product multiplicities, canonical bases and totally positive varieties
1999/12/02 by Arkady Berenstein, Andrei Zelevinsky, Berenstein, Arkady +1 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.AG #math.CO #math.QA #math.RT
- Braided Symmetric and Exterior Algebras
2005/04/07 by Berenstein, Arkady, Zwicknagl, Sebastian · 3 citations
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Geometric and unipotent crystals II: From unipotent bicrystals to crystal bases
2006/01/16 by Arkady Berenstein, David Kazhdan, Berenstein, Arkady +1 · 1 citation
Chemistry · Materials Science · #History and advancements in chemistry #X-ray Diffraction in Crystallography #Chemical Thermodynamics and Molecular Structure
- Lecture notes on Geometric Crystals and their combinatorial analogues
2006/10/18 by Berenstein, Arkady, Kazhdan, David · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Macdonald Polynomials and BGG reciprocity for current algebras
2012/07/10 by Matthew Bennett, Arkady Berenstein, Bennett, Matthew +6 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)
- Triangular bases in quantum cluster algebras
2012/06/15 by Arkady Berenstein, Andrei Zelevinsky, Berenstein, Arkady +1 · 1 citation
Mathematics · Physics and Astronomy · #13F60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Noncommutative marked surfaces
2015/10/09 by Berenstein, Arkady, Retakh, Vladimir · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Hecke-Hopf algebras
2017/01/09 by Arkady Berenstein, Berenstein, Arkady, David Kazhdan +1 · 1 citation
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Symplectic groups over noncommutative algebras
2021/06/16 by Alessandrini, Daniele, Berenstein, Arkady, Retakh, Vladimir +2 · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #Rings and Algebras (math.RA)