In mathematics, Theory of Lie groups is a series of books on Lie groups by .
 The first in the series was one of the earliest books on Lie groups to treat them from the global point of view, and for many years was the standard text on Lie groups.
 The second and third volumes, on algebraic groups and Lie algebras, were written in French, and later reprinted bound together as one volume.
 Apparently further volumes were planned but not published, though his lectures on the classification of semisimple algebraic groups could be considered as a continuation of the series.
In information theory, Linguistics and computer science, the Levenshtein distance is a string metric for measuring the difference between two sequences.
 Informally, the Levenshtein distance between two words is the minimum number of single-character edits (insertions, deletions or substitutions) required to change one word into the other.
 It is named after Vladimir Levenshtein, who considered this distance in 1965.
In mathematics, the Demazure conjecture is a conjecture about representations of algebraic groups over the integers made by .
 The conjecture implies that many of the results of his paper can be extended from complex algebraic groups to algebraic groups over fields of other characteristics or over the integers.
 showed that Demazure's conjecture (for classical groups) follows from their work on standard monomial theory, and Peter Littelmann extended this to all reductive algebraic groups.
Levenstein coding, or Levenshtein coding, is a universal code encoding the non-negative integers developed by Vladimir Levenshtein.
Anatoly Ivanovich Maltsev (also: Malcev, Mal'cev; Russian: Анато́лий Ива́нович Ма́льцев; 27 November N.S./14 November O.S. 1909, Moscow Governorate – 7 June 1967, Novosibirsk) was born in Misheronsky, near Moscow, and died in Novosibirsk, USSR.
 He was a mathematician noted for his work on the decidability of various algebraic groups. Malcev algebras (generalisations of Lie algebras) are named after him.
Gary Michael Seitz (born 1943) is an American mathematician, a Fellow of the American Mathematical Society and a College of Arts and Sciences Distinguished Professor Emeritus in Mathematics at the University of Oregon.
 He received his Ph.D. from the University of Oregon in 1968, where his adviser was Charles W. Curtis.
 Seitz specializes in the study of algebraic and finite groups.
 Seitz has been active in the effort to exploit the relationship between algebraic groups and the finite groups of Lie type, in order to study the structure and representations of groups in the latter class.
 Such information is important in its own right, but was also critical in the classification of the finite simple groups, a major achievement of 20th century mathematics.
 Seitz made contributions to the classification of finite simple groups, such as those containing standard subgroups of Lie type.
 Following the classification, he pioneered the study of the subgroup structure of simple algebraic groups, and as an application went a long way towards solving the maximal subgroup problem for finite groups.
 For this work he received the Creativity Award from the National Science Foundation in 1991.
In mathematics, a J-structure is an algebraic structure over a field related to a Jordan algebra.
 The concept was introduced by to develop a theory of Jordan algebras using linear algebraic groups and axioms taking the Jordan inversion as basic operation and Hua's identity as a basic relation.
 There is a classification of simple structures deriving from the classification of semisimple algebraic groups. Over fields of characteristic not equal to 2, the theory of J-structures is essentially the same as that of Jordan algebras.
Vladimir Iosifovich Levenshtein (Russian: Влади́мир Ио́сифович Левенште́йн ; ] ; born 1935) is a Russian scientist who has done research in information theory, error-correcting codes, and combinatorial design.
 Among other contributions, he is known for the Levenshtein distance and a Levenshtein algorithm, which he developed in 1965.
In mathematics, Hahn series (sometimes also known as Hahn–Mal'cev–Neumann series) are a type of formal infinite series.
 They are a generalization of Puiseux series (themselves a generalization of formal power series) and were first introduced by Hans Hahn in 1907 (and then further generalized by Anatoly Maltsev and Bernhard Neumann to a non-commutative setting).
 They allow for arbitrary exponents of the indeterminate so long as the set supporting them forms a well-ordered subset of the value group (typically formula_1 or formula_2).
 Hahn series were first introduced, as groups, in the course of the proof of the Hahn embedding theorem and then studied by him as fields in his approach to Hilbert's seventeenth problem.
In mathematics, a group scheme is a type of algebro-geometric object equipped with a composition law.
 Group schemes arise naturally as symmetries of schemes, and they generalize algebraic groups, in the sense that all algebraic groups have group scheme structure, but group schemes are not necessarily connected, smooth, or defined over a field.
 This extra generality allows one to study richer infinitesimal structures, and this can help one to understand and answer questions of arithmetic significance.
 The category of group schemes is somewhat better behaved than that of group varieties, since all homomorphisms have kernels, and there is a well-behaved deformation theory.
 Group schemes that are not algebraic groups play a significant role in arithmetic geometry and algebraic topology, since they come up in contexts of Galois representations and moduli problems.
 The initial development of the theory of group schemes was due to Alexander Grothendieck, Michel Raynaud and Michel Demazure in the early 1960s.

Question: Which of the following is known for his work on the decidability of algebraic groups: Anatoly Maltsev or Vladimir Levenshtein?
Answer: Anatoly Ivanovich Maltsev