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Bavula, V. V.

  1. The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence
    2013/10/17 by V. V. Bavula, Bavula, V. V. · 2 citations
    Mathematics · #17B20 #17B30 #17B40 #17B65 #17B66 #Algebraic Geometry (math.AG) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AG #math.RA #msc:17B20 #msc:17B30 #msc:17B40 #msc:17B65 #msc:17B66
  2. Description of bi-quadratic algebras on 3 generators with PBW basis
    2021/12/21 by V. V. Bavula, Bavula, V. V. · 3 citations
    Computer Science · #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA)
  3. Dixmier's Problem 5 for the Weyl Algebra
    2004/03/02 by V. V. Bavula, Bavula, V. V. · 1 citation
    Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
  4. Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic
    2006/05/02 by V. V. Bavula, Bavula, V. V. · 1 citation
    Mathematics · #13N10 #16D30 #16P90 #16S32 #16W70 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Rings and Algebras (math.RA)
  5. Morita invariance of the filter dimension and of the inequality of Bernstein
    2006/10/29 by V. V. Bavula, Bavula, V. V., V. Hinchcliffe +1 · 1 citation
    Mathematics · #13N10 #16D30 #16P90 #16S32 #16W70 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #math.AG #math.RA #msc:13N10 #msc:16D30 #msc:16P90 #msc:16S32 #msc:16W70
  6. The \rm Jacobian Conjecture2n implies the \rm Dixmier Problemn
    2005/12/12 by V. V. Bavula, Bavula, V. V. · 1 citation
    Mathematics · Physics and Astronomy · #14H37 #14R15 #16S32 #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.AG #math.RA #msc:14H37 #msc:14R15 #msc:16S32
  7. The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations
    2012/04/22 by V. V. Bavula, Bavula, V. V. · 1 citation
    Mathematics · Physics and Astronomy · #17B30 #17B40 #17B65 #17B66 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.AG #math.RA #msc:17B30 #msc:17B40 #msc:17B65 #msc:17B66
  8. The groups of automorphisms of the Witt Wn and Virasoro Lie algebras
    2013/04/13 by V. V. Bavula, Bavula, V. V. · 1 citation
    Mathematics · #17B20 #17B30 #17B40 #17B65 #17B66 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:17B20 #msc:17B30 #msc:17B40 #msc:17B65 #msc:17B66
  9. The group of automorphisms of the Lie algebra of derivations of a polynomial algebra
    2013/04/13 by V. V. Bavula, Bavula, V. V. · 2 citations
    Mathematics · #17B20 #17B30 #17B40 #17B65 #17B66 #Algebraic Geometry (math.AG) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AG #math.RA #msc:17B20 #msc:17B30 #msc:17B40 #msc:17B65 #msc:17B66
  10. The group of automorphisms of the Lie algebra of derivations of a field of rational functions
    2013/04/15 by V. V. Bavula, Bavula, V. V. · 1 citation
    Mathematics · #17B20 #17B30 #17B40 #17B65 #17B66 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AG #math.RA #msc:17B20 #msc:17B30 #msc:17B40 #msc:17B65 #msc:17B66
  11. The inversion formulae for automorphisms of polynomial algebras and differential operators in prime characteristic
    2006/04/21 by V. V. Bavula, Bavula, V. V. · 3 citations
    Mathematics · Physics and Astronomy · #13N10 #13N15 #14H37 #14R15 #16S32 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.AG #math.RA #msc:13N10 #msc:13N15 #msc:14H37 #msc:14R15 #msc:16S32