The mathematics of Amitai Regev (Q863305)

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scientific article; zbMATH DE number 5118772

Language	Label	Description	Also known as
English	The mathematics of Amitai Regev	scientific article; zbMATH DE number 5118772

Statements

scholarly article

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The mathematics of Amitai Regev (English)

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Advances in Applied Mathematics

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publication date

26 January 2007

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.aam.2005.09.006

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The sequence of codimensions of PI-algebras

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PI-algebras and their cocharacters

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Maximal degrees for Young diagrams in a strip

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The asymptotics of monotone subsequences of involutions

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Colength sequences for matrices.

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Involution codimensions and trace codimensions of matrices are asymptotically equal

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Applications of hook Young diagrams to P.I. algebras

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Hook young diagrams, combinatorics and representations of Lie superalgebras

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Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras

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Exponential growth for codimensions of some p. i. algebras

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Hook flag characters and their combinatorics

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A Foata bijection for the alternating group and for \(q\)-analogues

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Giambelli compatible point processes

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On maximal degrees for Young diagrams

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A six generalized squares theorem, with applications to polynomial identity algebras

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Codimensions of T-ideals and Hilbert series of relatively free algebras

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Exact asymptotic behaviour of the codimensions of some P.I. algebras

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On the Kronecker product of \(S_n\) characters

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A Schur double centralizer theorem for cotriangular Hopf algebras and generalized Lie algebras

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Invariants and the ring of generic matrices

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A conjecture of Regev about the Capelli polynomial

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Shuffles of permutations and the Kronecker product

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The non-degeneracy of the bilinear form of \(m\)-quasi-invariants.

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On the identities of the Grassmann algebras in characteristic \(p>0\)

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Wreath products and P.I. algebras

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On the codimension growth of finite-dimensional Lie algebras

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Simple and semisimple Lie algebras and codimension growth

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On codimension growth of finitely generated associative algebras

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Exponential codimension growth of PI algebras: an exact estimate

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Identities of associative algebras

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MULTILINEAR IDENTITIES OF THE ALGEBRAS OVER A FIELD OF CHARACTERISTIC P

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Some Conjectures for Root Systems

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The exponential growth of codimensions for Capelli identities

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Integrality of exponents of some abelian-by-nilpotent varieties of lie algebras

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Random Young tableaux and combinatorial identities

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Colength sequence of some T-ideals

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Modular cocharacters for P. I. algebras

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Identities of the tensor square of a Grassmann algebra

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The invariant theory of \(n\times n\) matrices

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TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO

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Existence of polynomial identities in $A \otimes \,_F B$

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Existence of identities in \(A \otimes B\)

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The representations of \(S_n\) and explicit identities for P. I. algebras

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Algebras satisfying a Capelli identity

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The polynomial identities of matrices in characteristic zero

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Asymptotic values for degrees associated with strips of Young diagrams

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On the height of the Kronecker product of \(S_ n \)characters

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A polynomial rate of growth for the multiplicities in cocharacters of matrices

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Codimensions and trace codimensions of matrices are asymptotically equal

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The representations of wreath products via double centralizing theorems

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Grassmann algebras over finite fields

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Remarks on P. I. algebras over finite fields

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Capelli identities for some modular P. I. algebras

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Maximal degrees for Young diagrams in the \((k,l)\) hook

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Asymptotics of the number of \(k\)-words with an \(l\)-descent

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Asymptotics of degrees of some \(S_n\)-sub regular representations

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Generalized hook and content numbers identities

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Generalized hook and content numbers identities---the projective case

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\(S_\infty\) representations and combinatorial identities

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Double centralizing theorems for the alternating groups

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Permutation statistics on the alternating group

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Statistics on wreath products and generalized binomial-Stirling numbers

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Shuffle invariance of the super-RSK algorithm

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Asymptotics of Young diagrams and hook numbers

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Proof of a conjecture on multisets of hook numbers

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On a question concerning generic matrices over the integers

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Gesetze in Ringen. I

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Varieties of Lie algebras with the identity \([[x_ 1,x_ 2,x_ 3],[x_ 4,x_ 5,x_ 6]]=0\) over a field of characteristic zero

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.AAM.2005.09.006

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Sitelinks

Mathematics(1 entry)

mardi Publication:863305

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