Let S n be the symmetric group on n letters and let ρ s =∑ t∈S n (signt)t -1 st for s∈S n . The element ρ s depends only (up to a sign) on the conjugacy class of s and is non-zero if and only if the conjugacy class of s is determined by a partition with odd ...
Mathematics - Group Theory20b30Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial $alpha,betain S_n$, we prove that the product $alpha^{S_n}beta^{S_n}$ of the conjugacy classes $alpha^{S_n}$ and $beta^{S_n}$ is never a conjugacy class. Further...
Let L be a field and S n the symmetric group on n letters. Given a partition λ of the integer n, we have an LS n -module S λ called the Specht module corresponding to λ. The representation theory of S n is well known in characteristic zero. The set of Specht modules, with λ...
Finite Dimensional Hopf Algebras Over the Dual Group Algebra of the Symmetric Group in Three Letters We classify finite-dimensional Hopf algebras whose coradical is isomorphic to the algebra of functions on 3. We describe a new infinite family of Hopf alge... N Andruskiewitsch,C Vay - 《Commu...
1) 4-letters symmetric group 4次对称群 1. Using Lagrange s theorem and the concept of n-letters symmetric group,we have Proved the only existence 30 certainly subgroups of the4-letters symmetric groupS4, getting rid of 2 normal subgroups, it has 9 2-order cyclic subgroups , 4 3-order ...
利用参系数多项式正实根的判别序列,给出了多变元5次对称形式在R_+~n上取非负值的显示判定方法。 2) 5-letters symmetric group 5次对称群 1. Using Lagrange s theorem and the concept of n-letters symmetric group,some of subgroups of5-letters symmetric groupS5 are proved. ...
Let K be a field of characteristic p>0, Σ n the symmetric group on n letters, Σ n-1 <Σ n the subgroup consisting of the permutations of the first n-1 le... AS Kleshchev - 《Journal Für Die Reine Und Angewandte Mathematik》 被引量: 279发表: 1995年 ...
where on the right we have a usual matrix multiplication. In case when [Math Processing Error]F=R we get an exmple of an Euclidean Jordan algebra. Throughout this paper we will use small letters for the elements of Euclidean Jordan algebras. By capital letters we will usually denote elements...
A word is fixed if within each set of positions comprising a cycle the letters occupying these positions are the same, whence the first formula. The second formula follows from the multiplication rule for traces of tensor products. □ The possible values of the function ℓ n on Sn are ...
Let Sigma(n) be the symmetric group on n letters. For l <= n identify Sigma(l) with a subgroup of Sigma(n) in the natural way. Let k be an algebraically cl... AH Sørensen 被引量: 0发表: 0年 Simple left-symmetric algebras withsolvable Lie algebra Left-symmetric algebras (LSAs)...