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Articles by Vladimir Retakh

Non-Abelian discrete Toda chains and related lattices
16 May 2024 by Irina Bobrova and others
Exactly Solvable and Integrable Systems, Mathematical Physics
A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions
6 October 2023 by Irina Bobrova and others
Mathematical Physics, Exactly Solvable and Integrable Systems
Symplectic groups over noncommutative algebras
16 June 2021 by Daniele Alessandrini and others
Differential Geometry, Rings and Algebras
On the rational relationships among pseudo-roots of a non-commutative polynomial
16 January 2020 by Vladimir Retakh and Michael Saks
Rings and Algebras, Combinatorics
Noncommutative cross-ratio and Schwarz derivative
7 May 2019 by Vladimir Retakh and others
Rings and Algebras
Noncommutative Shifted Symmetric Functions
28 February 2019 by Robert Laugwitz and Vladimir Retakh
Rings and Algebras, Combinatorics
Algebras of Quasi-Plücker Coordinates are Koszul
21 September 2017 by Robert Laugwitz and Vladimir Retakh
Rings and Algebras
Noncommutative Catalan numbers
14 August 2017 by Arkady Berenstein and Vladimir Retakh
Quantum Algebra, Combinatorics
Noncommutative marked surfaces
18 October 2015 by Arkady Berenstein and Vladimir Retakh
Quantum Algebra, Rings and Algebras
Generalized adjoint actions
25 June 2015 by Arkady Berenstein and Vladimir Retakh
Quantum Algebra, Rings and Algebras
Noncommutative Cross-Ratios
17 February 2014 by Vladimir Retakh
Rings and Algebras, Quantum Algebra
The Reciprocal of \sum_{n\geq 0}a^nb^n for non-commuting a and b, Catalan numbers and non-commutative quadratic equations
27 February 2013 by Arkady Berenstein and others
Combinatorics, Quantum Algebra
Hilbert series of algebras associated to direct graphs and order homology
9 June 2011 by Vladimir Retakh and others
Rings and Algebras, Geometric Topology
A Spectral Theory for Tensors
27 April 2011 by Edinah Gnang and others
Spectral Theory
A short proof of Kontsevich cluster conjecture
10 November 2010 by Arkady Berenstein and Vladimir Retakh
Quantum Algebra, Algebraic Geometry
Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II Equation
12 September 2010 by Vladimir Retakh and Vladimir Rubtsov
Mathematical Physics, Exactly Solvable and Integrable Systems
From factorizations of noncommutative polynomials to combinatorial topology
30 November 2009 by Vladimir Retakh
Rings and Algebras, Geometric Topology
Koszulity of splitting algebras associated with cell complexes
6 November 2008 by Vladimir Retakh and others
Rings and Algebras, Algebraic Topology
Codes and Noncommutative Stochastic Matrices
29 August 2008 by Sylvain Lavallée and others
Rings and Algebras, Information Theory
Algebras associated to acyclic directed graphs
5 June 2008 by Vladimir Retakh and Robert Lee Wilson
Combinatorics, Rings and Algebras
Noncommutative loops over Lie algebras and Lie groups
17 January 2007 by Arkady Berenstein and Vladimir Retakh
Quantum Algebra, Representation Theory
Hilbert series of algebras associated to directed graphs
5 April 2006 by Vladimir Retakh and others
Combinatorics, Quantum Algebra
Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials
22 March 2006 by Vladimir Retakh and others
Rings and Algebras, Combinatorics
Factorizations of Polynomials over Noncommutative Algebras and Sufficient Sets of Edges in Directed Graphs
12 September 2005 by Israel Gelfand and others
Quantum Algebra, Combinatorics
On a class of Koszul algebras associated to directed graphs
16 August 2005 by Vladimir Retakh and others
Quantum Algebra, Combinatorics
On a class of algebras associated to directed graphs
24 June 2005 by Israel Gelfand and others
Quantum Algebra, Rings and Algebras
Noncommutative Double Bruhat cells and their factorizations
2 August 2004 by Arkady Berenstein and Vladimir Retakh
Quantum Algebra, Representation Theory
Quasideterminants and Casimir elements for the general Lie superalgebra
7 October 2003 by Alexander Molev and Vladimir Retakh
Quantum Algebra, Representation Theory
Quasideterminants
7 September 2003 by Ian Gelfand and others
Quantum Algebra, Rings and Algebras
Quaternionic quasideterminants and determinants
20 June 2002 by Israel Gelfand and others
Quantum Algebra, Complex Variables
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