The Symmetric GroupELSEVIERPure and Applied Physics
INTERCEPT PROBLEM#FOUR-MESON AMPLITUDE; SYMMETRIC GROUP13#REGGE BEHAVIOUR AND ANALYTIC PROPERTIES#EXPLICIT CONSTRUCTION#FOUR-PION AMPLITUDE#POSSIBLE CONNECTION TO THREE-QUARK BARYONS#MULTIPARTICLE EXTENSION#CLASSIFICATION OF DUAL RESONANCE MODELS#MULTIPION AMPLITUDE#SPIN-LOWERING SYMMETRY#FACTORISATION#SUMMARY#...
Group Theory 11 (2008), no. 3, 371-379. [2] E. Adan-Bante, J. M. Harris, On conjugacy classes of SL(2, q), preprint. [3] The GAP Group, GAP - Groups, Algorithms, and Programming, Version 4.4.10 ; 2007, (\protect\vrule width0pt\protect\href{http://www.gap-system.org}{...
We shall first recall the definition, two criterions, and some properties of Bruhat order on the symmetric group. Then we give a survey of various appearances of the Bruhat order in the field of Schubert Calculus. 报告人简介: 范久瑜,四川大学数学学院副教授,主要从事 Schubert 计数演算的组合学、...
As stated in the introduction, this paper presents an "updated account of Schur's theory of characters of projective representations of the symmetric group in a way as self-contained as possible". Other recent papers of a similar nature include [P. N. Hoffman, J. F. Humphreys, Can. J. ...
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Let ϕ be a self-map of the symmetric group SΩ acting on a countable set Ω. We show in an elementary fashion that if ϕ has the property that στ is conjugate to ϕ(σ)ϕ(τ) for every choice of σ,τ in SΩ, then it is necessarily an automorphism or an antiautomorphis...
To a transformation semigroup ( S, M ) we assign a new semigroup FP(S) called the factor-power of the semigroup ( S, M ). Then we apply this construction to the symmetric group S n . Some combinatorial properties of the semigroup FP(S n ) are studied; in particular, we investiga...
A new approach to the character theory of the symmetric group has been developed during the past fifteen years which is in many ways more efficient, more transparent, and more elementary. In this approach, to each permutation is assigned a class function of the corresponding symmetric group. Pro...
Combinatorics of the Free Lie Algebra and the Symmetric GroupGiven an alphabet A = { a 1 , a 2 … a n }, the smallest subspace of the linear space of A-words, which contains the words of length one and is closed under the bracket operation [ f, g ] = fg – fg , is usually ...