6 citations · 22 across the 24 of their papers we have counts for
25 papers
Surprising Relations Between Sums-Of-Squares of Characters of the Symmetric Group Over Two-Rowed Shapes and Over Hook Shapes
Amitai Regev, Doron Zeilberger
In a recent article (arXiv:1507.03499) (joint with Alon Regev) we studied sums of squares of characters Chi(L,M) of the Symmetric Group over shapes L that are two-rowed, and shapes…
Identities in character tables of
Alon Regev, Amitai Regev, Doron Zeilberger
In the classic "Concrete Math", by Graham, Patashnik and Knuth, it is stated that "The numbers in Pascal's triangle satisfy, practically speaking, infinitely many identities, so it…
Growth for the central polynomials
Amitai Regev
We study the growth of the central polynomials for the algebras and , the infinite dimensional Grassmann algebra and the matrices over a field of charac…
A Very Short (Bijective!) Proof of Touchard's Catalan Identity
Amitai Regev, Nathaniel Shar, Doron Zeilberger
A very short, bijective proof, of Touchard's Catalan identity is given, using Dyck paths.
The Murnaghan-Nakayama rule and some virtual S_n characters
Amitai Regev
We construct certain virtual characters for the symmetric groups, then compute a formula which calculates the values of these virtual characters.
Lie superalgebras and some characters of
Amitai Regev
We prove a formula for characters which are indexed by the partitions in the hook. The proof applies a combinatorial part of the theory of Lie superalgebras.