Add to ORKGA character identity which relates irreducible character values of the hyperoctahedral group $B_n$ to those of the symmetric group $S_{2n}$ was recently proved by L\"ubeck and Prasad. Their proof is algebraic and involves Lie theory. We present a short combinatorial proof of this identity, as well as a generalization to other wreath products.Comment: 10 pages, result extended from cyclic to abelian groups, to appear in Combinatorial Theor
AbstractWe express the number of elements of the hyperoctahedral group Bn, which have descent set K ...
AbstractIf the irreducible characters of the symmetric group are interpreted combinatorially using t...
In arXiv:1605.06672 the authors introduced inhomogeneous bases of the ring of symmetric functions. T...
A character identity which relates irreducible character values of the hyperoctahedral group \(B_n\)...
A character identity which relates irreducible character values of the hyperoctahedral group \(B_n\)...
For a finite group $G$ with integer-valued character table and a prime $p$, we show that almost ever...
AbstractIt is known that the character rings of symmetric groups Sn and the character rings of hyper...
Let $n$ be a non-negative integer. Combining algebraic and combinatorial techniques, we investigate ...
The theory of characters of wreath products of finite groups is very well known. The basic fact is t...
AbstractThe salient point arising out of a consideration of some seemingly independent topics in rep...
The theory of characters of wreath products of finite groups is very well known. The basic fact is t...
We use character polynomials to obtain a positive combinatorial interpretation of the multiplicity o...
AbstractThe theory of characters of wreath products of finite groups is very well known. The basic f...
We prove that $(\mathbb{Z}_k \wr \mathcal{S}_n \times \mathbb{Z}_k \wr \mathcal{S}_{n-1}, \text{diag...
AbstractThe salient point arising out of a consideration of some seemingly independent topics in rep...
AbstractWe express the number of elements of the hyperoctahedral group Bn, which have descent set K ...
AbstractIf the irreducible characters of the symmetric group are interpreted combinatorially using t...
In arXiv:1605.06672 the authors introduced inhomogeneous bases of the ring of symmetric functions. T...
A character identity which relates irreducible character values of the hyperoctahedral group \(B_n\)...
A character identity which relates irreducible character values of the hyperoctahedral group \(B_n\)...
For a finite group $G$ with integer-valued character table and a prime $p$, we show that almost ever...
AbstractIt is known that the character rings of symmetric groups Sn and the character rings of hyper...
Let $n$ be a non-negative integer. Combining algebraic and combinatorial techniques, we investigate ...
The theory of characters of wreath products of finite groups is very well known. The basic fact is t...
AbstractThe salient point arising out of a consideration of some seemingly independent topics in rep...
The theory of characters of wreath products of finite groups is very well known. The basic fact is t...
We use character polynomials to obtain a positive combinatorial interpretation of the multiplicity o...
AbstractThe theory of characters of wreath products of finite groups is very well known. The basic f...
We prove that $(\mathbb{Z}_k \wr \mathcal{S}_n \times \mathbb{Z}_k \wr \mathcal{S}_{n-1}, \text{diag...
AbstractThe salient point arising out of a consideration of some seemingly independent topics in rep...
AbstractWe express the number of elements of the hyperoctahedral group Bn, which have descent set K ...
AbstractIf the irreducible characters of the symmetric group are interpreted combinatorially using t...
In arXiv:1605.06672 the authors introduced inhomogeneous bases of the ring of symmetric functions. T...