Amitai Regev | Academic Influence

Amitai Regev's AcademicInfluence.com Rankings

Amitai Regev

Mathematics

#3230

World Rank

#4819

Historical Rank

Group Theory

#175

World Rank

#208

Historical Rank

Algebra

#141

World Rank

#223

Historical Rank

Number Theory

#292

World Rank

#363

Historical Rank

mathematics Degrees

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Mathematics

Amitai Regev's Degrees

PhD Mathematics Tel Aviv University
Masters Mathematics Tel Aviv University
Bachelors Mathematics Tel Aviv University

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Why Is Amitai Regev Influential?

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According to Wikipedia, Amitai Regev is an Israeli mathematician, known for his work in ring theory. He is the Herman P. Taubman Professor of Mathematics at the Weizmann Institute of Science. He received his doctorate from the Hebrew University of Jerusalem in 1972, under the direction of Shimshon Amitsur.

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Amitai Regev's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Hook young diagrams with applications to combinatorics and to representations of Lie superalgebras (1987) (462)
Asymptotic values for degrees associated with strips of young diagrams (1981) (269)
Existence of identities inA⊗B (1972) (235)
The polynomial identities of the Grassmann algebra (1973) (172)
Cells as Computation (2003) (152)
Wreath products and P.I. algebras (1985) (108)
Codimensions and trace codimensions of matrices are asymptotically equal (1984) (77)
Applications of hook Young diagrams to P.I. Algebras (1983) (71)
Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities (2008) (48)
The representations of Sn and explicit identities for P. I. algebras (1978) (47)
Colength sequence of some T-ideals (1976) (46)
Algebras satisfying a Capelli identity (1979) (46)
Frobenius-Schur Functions (2001) (45)
Simple and semisimple Lie algebras and codimension growth (1999) (43)
Codimensions of products and of intersections of verbally primeT-ideals (1998) (40)
PI-algebras and their cocharacters (1982) (39)
Exact asymptotic behaviour of the codimensions of some P.I. algebras (1996) (36)
Tensor products of matrix algebras over the Grassmann algebra (1990) (34)
A Characterization of P.I. Algebras with Bounded Multiplicities of the Cocharacters (1999) (34)
Grassmann algebras over finite fields (1991) (32)
Exponential Growth for Codimensions of Some p.i. Algebras (2001) (30)
Existence of polynomial identities in $A \otimes \,_F B$ (1971) (27)
The Kronecker product of Sn-characters and an A ⊗ B theorem for Capelli identities (1980) (27)
The polynomial identities of matrices in characteristic zero (1980) (26)
Hook young diagrams, combinatorics and representations of Lie superalgebras (1983) (25)
The global symmetries of spin systems defined on abelian groups. II (1981) (25)
On the codimensions of the verbally prime P.I. algebras (1995) (25)
Permutation statistics on the alternating group (2003) (21)
Asymptotics of Young Diagrams and Hook Numbers (1997) (20)
Young-Derived Sequences of Sn-Characters (1994) (20)
Statistics on wreath products and generalized binomial-stirling numbers (2004) (19)
An application of representation theory to PI-algebras (1976) (18)
On the Codimension Growth of Finite-Dimensional Lie Algebras (1999) (18)
Rings with Polynomial Identities and Finite Dimensional Representations of Algebras (2020) (17)
Asymptotics of the Number of k-words With An l-descent (1998) (16)
Z2-graded tensor products of p.i. algebras (2005) (15)
A-codimensions and a-cocharacters (2003) (13)
Integrality of exponents of some abelian-by-nilpotent varieties of lie algebras (2000) (12)
Proof of a conjecture on multisets of hook numbers (1997) (12)
On the identities of subalgebras of matrices over the Grassmann algebra (1987) (11)
Maximal Degrees for Young Diagrams in a Strip (1984) (11)
Shuffle Invariance of the Super-RSK Algorithm (2001) (10)
Lie superalgebras and some characters of Sn (2011) (10)
Growth for the Central Polynomials (2015) (10)
TheT-ideal generated by the standard identitys3[x1,x2,x3] (1977) (10)
Generalized Hook and Content Numbers Identities (2000) (10)
Sign trace identities (1987) (9)
Involution codimensions and trace codimensions of matrices are asymptotically equal (1996) (9)
ASYMPTOTIC ESTIMATES USING PROBABILITY (1998) (9)
The representations of wreath products via double centralizing theorems (1986) (9)
On the lee and associative codimensions growth (1999) (8)
A Six Generalized Squares Theorem, with Applications to Polynomial Identity Algebras (2001) (8)
Generalized statistics on Sn and pattern avoidance (2005) (8)
Characterization of non-matrix varieties of associative algebras (2011) (8)
Graded tensor products (2009) (7)
Asymptotics and algebraicity of some generating functions (1987) (7)
Random Young Tableaux and Combinatorial Identities (2001) (7)
Double Centralizing Theorems for the Alternating Groups (2001) (7)
The exponential growth of codimensions for Capelli identities (2000) (7)
Maximal Degrees for Young Diagrams in the (k, l) Hook (1998) (6)
On theT-ideal generated by a standard identity (1977) (6)
Explicit decompositions of the group algebras FSn and FAn (2003) (6)
Probabilities in the (k, ℓ) hook (2009) (6)
Asymptotics of Combinatorial Sums and the Central Limit Theorem (1988) (6)
The codimensions of aPi-algebra (1972) (6)
IDENTITIES FOR THE NUMBER OF STANDARD YOUNG TABLEAUX IN SOME (k, ℓ)-HOOKS (2010) (6)
A PRIMENESS PROPERTY FOR CENTRAL POLYNOMIALS (1979) (6)
Combinatorial sums, identities and trace identities of the 2 × 2 matrices (1982) (6)
_{∞} representations and combinatorial identities (2001) (6)
A polynomial rate of growth for the multiplicities in cocharacters of matrices (1982) (5)
A Foata bijection for the alternating group and for -analogues. (2005) (5)
Identities in character tables of Sn (2015) (5)
Generalized Hook and Content Numbers Identities--The Projective Case (2000) (5)
Kronecker multiplicities in the (k, ℓ) hook are polynomially bounded (2010) (5)
Frobenius-Schur functions: summary of results (2000) (4)
On the height of the Kronecker product ofSn characters (1982) (4)
Weyl modules for the Schur algebra of the alternating group (2002) (4)
Asymptotics of degrees of someSn-sub regular representations (1999) (4)
On a class of algebras defined by partitions (2002) (3)
Maximal Projective Degrees for Strict Partitions (2007) (3)
Asymptotics of Young tableaux in the strip, the $d$-sums (2010) (3)
Selected papers of S.A. Amitsur with commentary (2001) (3)
On Maximal Degrees for Young Diagrams (1988) (3)
A combinatorial proof for an identity of procesi of Sn characters (1987) (3)
Some Remarks on Trace Cocharacters (1995) (3)
Surprising Relations Between Sums-Of-Squares of Characters of the Symmetric Group Over Two-Rowed Shapes and Over Hook Shapes (2015) (3)
Asymptotics of Young tableaux in the $(k,\ell)$ hook (2010) (2)
Remarks on P.I. algebras over finite fields (1992) (2)
Modular cocharacters for P.I. algebras (1991) (2)
Asymptotic codimensions of M(E) (2020) (2)
Polynomial Identities and Combinatorial Methods (2007) (2)
Coefficients in some Young Derived Sequences (1996) (2)
The Murnaghan-Nakayama rule and some virtual S_n characters (2013) (2)
Asymptotics of multinomial sums and identities between multi-integrals (1999) (2)
Growth of central polynomials of verbally prime algebras (2018) (2)
Asymptotics of Young tableaux in the (k;`) hook (2010) (2)
Growth for Algebras Satisfying Polynomial Identities (2012) (2)
A transposition factorization of walk-permutations in graphs (1990) (1)
Commutation relations and Vandermonde determinants (2009) (1)
Complex parameters for the representations of some superalgebras (1985) (1)
Capelli identities for some modular P. I. algebras (1993) (1)
Standard polynomials are characterized by their degree and exponent (2011) (1)
Nonassociative P.I. algebras (1974) (1)
q Statistics on $S_n$ and Pattern Avoidance (2003) (1)
T -Ideals of Degree 3 are Finitely Generated (1978) (1)
A note on schur functions (1992) (1)
REFINED ASYMPTOTICS AND EXPLICIT RECURRENCES FOR THE NUMBERS OF YOUNG TABLEAUX IN THE (k,l) HOOK FOR k + l 5 (2010) (1)
Refined Asymptotics and Explicit Recurrences for the numbers of Young tableaux in the (k,l) hook for k+l less than six (2010) (0)
A Very Short (Bijective!) Proof of Touchard's Catalan Identity (2015) (0)
Bijections for an identity of Young Tableaux (2010) (0)
A REMARKABLE SCALAR PRODUCT FOR Q[X] (2003) (0)
Asymptotic estimates of some sn characters and the identities of the 2 × 2 matrices (1982) (0)
Relations Between Sums-Of-Squares of Characters of the Symmetric Group Over Two-Rowed Shapes and Over Hook Shapes By (2018) (0)
Ju n 20 01 DOUBLE CENTRALIZING THEOREMS FOR THE ALTERNATING GROUPS (2001) (0)
Kronecker multiplicities in the (k, ℓ) hook are polynomially bounded (2014) (0)
Expected lengths and distribution functions for Young diagrams in the hook (2005) (0)
counts and black row counts are given by a and /? respectively. In symbols (2003) (0)
GOOD FILTRATIONS AND SL x SL-INVARIANTS 2.1 MODULES WITH GOOD FILTRATION (2003) (0)
A pr 2 01 5 Growth for the central polynomials April 28 , 2015 (2015) (0)
From polynomial to formal identities (1989) (0)
The Golod Shafarevich counter-example without Hilbert series (2009) (0)
Growth of central polynomials of verbally prime algebras (2018) (0)
Lie superalgebras and some characters of Sn (2012) (0)
C O ] 2 2 Se p 20 09 A Multiset Identity for Partitions (2009) (0)
A Multi-Set Identity for Partitions (2009) (0)
MAIN TYPES OF SCHREIER VARIETIES (2003) (0)
ALGEBRAIC AND COMBINATORIAL BACKGROUND (2003) (0)
ℤ2-Graded Number Theory (2006) (0)
and thus property (c) holds true in this case. We can thus proceed by induction. We shall begin by showing that when /? = 6 - a we can easily construct a filling TeC(a,/3) that is not only permutational but (2003) (0)
2 3 Ju n 20 05 Expected lengths and distribution functions for Young diagrams in the hook June 19 , 2005 (2005) (0)
Random Young Tableaux and Combinatorial Identities X0. Introduction (2007) (0)

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