Vladimir Retakh
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Russian mathematician
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Vladimir Retakhmathematics Degrees
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Algebra
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#265
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Measure Theory
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#1172
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Mathematics
Why Is Vladimir Retakh Influential?
(Suggest an Edit or Addition)According to Wikipedia, Vladimir Solomonovich Retakh is a Russian-American mathematician who made important contributions to Noncommutative algebra and combinatorics among other areas. Biography Retakh graduated in 1970 from the Moscow State Pedagogical University. Beginning as an undergraduate Retakh regularly attended lectures and seminars at the Moscow State University most notably the Gelfand seminars. He obtained his PhD in 1973 under the mentorship of Dmitrii Abramovich Raikov. He joined the Gelfand group in 1986.
Vladimir Retakh's Published Works
Published Works
- Noncommutative symmetric functions (1994) (519)
- Noncommutative Symmetrical Functions (1995) (462)
- Determinants of matrices over noncommutative rings (1991) (289)
- A theory of noncommutative determinants and characteristic functions of graphs (1992) (175)
- General hypergeometric systems of equations and series of hypergeometric type (1992) (157)
- Factorization of differential operators, quasideterminants, and nonabelian Toda field equations (1997) (116)
- Fedosov Manifolds (1997) (105)
- Nonabelian Integrable Systems, Quasideterminants, and Marchenko Lemma (1997) (60)
- Noncommutative Toda chains, Hankel quasideterminants and the Painlevé II equation (2010) (48)
- Quasideterminants, I (1997) (43)
- Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials (2000) (42)
- The Gelfand Mathematical Seminars, 1996–1999 (2000) (41)
- Topology of linked defects in condensed matter (1986) (40)
- Noncommutative Vieta Theorem and Symmetric Functions (1995) (38)
- Quaternionic quasideterminants and determinants (2002) (36)
- The Arnold-Gelfand mathematical seminars : [geometry and singularity theory] (1997) (33)
- Lie-Massey brackets and n-homotopically multiplicative maps of differential graded Lie algebras (1993) (30)
- On a class of algebras associated to directed graphs (2005) (28)
- Hypergeometric functions over an arbitrary field (2004) (27)
- GENERAL GAMMA FUNCTIONS, EXPONENTIALS, AND HYPERGEOMETRIC FUNCTIONS (1998) (23)
- HILBERT SERIES OF ALGEBRAS ASSOCIATED TO DIRECTED GRAPHS (2006) (21)
- Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials (2001) (21)
- On a class of Koszul algebras associated to directed graphs (2005) (20)
- Noncommutative marked surfaces (2015) (20)
- Massey operations in Lie superalgebras and deformations of complexly analytic algebras (1977) (19)
- Homotopic properties of categories of extensions (1986) (19)
- A short proof of Kontsevich cluster conjecture (2010) (18)
- Quantum determinants and quasideterminants (1998) (18)
- Factorizations of Polynomials over Noncommutative Algebras and Sufficient Sets of Edges in Directed Graphs (2005) (17)
- Extension categories and their homotopy (1996) (15)
- Massey operations in the cohomology of the infinite dimensional Lie algebra L1 (1988) (15)
- The Gelfand Mathematical Seminars (1993) (14)
- CONSTRUCTION OF SOME ALGEBRAS ASSOCIATED TO DIRECTED GRAPHS AND RELATED TO FACTORIZATIONS OF NONCOMMUTATIVE POLYNOMIALS (2006) (14)
- The Arnold-Gelfand Mathematical Seminars (2011) (13)
- Massey operations in Lie superalgebras and differentials in the Quillen spectral sequence (1978) (13)
- Koszulity of splitting algebras associated with cell complexes ? ? Some of our results were later ge (2008) (11)
- Non-Abelian integrable systems, quasideterminants and Marchenko (1998) (11)
- Noncommutative Birational Geometry, Representations and Combinatorics (2013) (10)
- COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the cohomology of certain Lie algebras and superalgebras of vector fields (1982) (10)
- Noncommutative double bruhat cells and their factorizations (2004) (10)
- Quasideterminants and Casimir elements for the general linear Lie superalgebra (2004) (10)
- The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand (2006) (10)
- Noncommutative algebras associated to complexes and graphs (2000) (9)
- A method of computing characteristic classes of vector bundles (1980) (9)
- A Spectral Theory for Tensors (2010) (8)
- Quasideterminants and Casimir elements for the general Lie superalgebra (2003) (6)
- Lie algebras and Lie groups over noncommutative rings (2007) (5)
- Algebras associated to acyclic directed graphs (2007) (5)
- Algebras associated to directed acyclic graphs (2007) (5)
- Noncommutative Rational Functions and Farber's Invariants of Boundary Links (2000) (5)
- The structure of Lie superalgebras with semisimple even part (1978) (5)
- Noncommutative cross-ratios (2014) (4)
- From factorizations of noncommutative polynomials to combinatorial topology (2009) (4)
- A Generalized Spectral Theory for Tensors (2010) (4)
- Symplectic groups over noncommutative algebras (2021) (3)
- RECENT DEVELOPMENTS IN THE THEORY OF GENERAL HYPERGEOMETRIC FUNCTIONS(Special Differential Equations) (1991) (3)
- On the conjugate homomorphism of locally convex spaces (1969) (3)
- The Reciprocal of ∑ n ≥ 0 a n b n for non-commuting a and b , Catalan numbers and non-commutative quadratic equations (2013) (3)
- Israel Moiseevich Gelfand, Part II (2013) (3)
- The "universal" deformation of germs of holomorphic mappings (1974) (3)
- Hypergeometric systems of Gelfand-type equations and series in orthogonal polynomials (1993) (3)
- The Unity of Mathematics (2007) (2)
- Israel Moiseevich Gelfand (2010) (2)
- A QUASIDETERMINANTAL APPROACH TO QUANTIZED FLAG VARIETIES (2005) (1)
- Noncommutative Catalan Numbers (2017) (1)
- Algebras of quasi-Plücker coordinates are Koszul (2017) (1)
- GENERALIZED QUASI POISSON STRUCTURES AND NONCOMMUTATIVE INTEGRABLE SYSTEMS (2018) (1)
- Noncommutative Cross-Ratio and Schwarz Derivative (2019) (1)
- A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions (2022) (1)
- Noncommutative loops over Lie algebras and Lie groups (2007) (0)
- Noncommutative Shifted Symmetric Functions (2018) (0)
- Codes and Noncommutative Stochastic Matrices (2008) (0)
- The Reciprocal of $\sum_{n\geq 0}a^nb^n$ for non-commuting $a$ and $b$, Catalan numbers and non-commutative quadratic equations (2012) (0)
- Марк Иосифович Граев (к 85-летию со дня рождения)@@@Mark Iosifovich Graev (to his 85th brithday) (2008) (0)
- A theorem of Eidelheit (1976) (0)
- Ju n 20 05 ON A CLASS OF ALGEBRAS ASSOCIATED TO DIRECTED GRAPHS Israel Gelfand , (2021) (0)
- Mark Iosifovich Graev (to his 85th brithday) (2008) (0)
- ANDREI ZELEVINSKY, 1953–2013 (2014) (0)
- Noncommutative Vieta Theorem and Symmetric Functions Israel Gelfand (0)
- Book Review: Foundation of free noncommutative function theory (2017) (0)
- A Sketch of an Intellectual Biography (1997) (0)
- A Generalized Spectral Theory for Tensors Technical Report (2010) (0)
- Brief Communications: Massey Operations, Obstructions to Sullivan Formality, and Obstructions to Kodaira-Spencer Deformations (1980) (0)
- Generalized adjoint actions (2015) (0)
- Noncommutative birational geometry, representations and combinatorics : AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, January 6-7, 2012, Boston, MA (2013) (0)
- On the rational relationships among pseudo-roots of a non-commutative polynomial (2020) (0)
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