Results 11 to 20 of about 570 (31)
On hypersurface quotient singularities of dimension 4
We consider geometrical problems on Gorenstein hypersurface orbifolds of dimension n ≥ 4 through the theory of Hilbert scheme of group orbits. For a linear special group G acting on ℂn, we study the G‐Hilbert scheme HilbG(ℂn) and crepant resolutions of ℂn/G for G the A‐type abelian group Ar(n).
Li Chiang, Shi-Shyr Roan
wiley +1 more source
Character induction in p‐groups
Let G be a finite p‐group and let χ be an irreducible character of G. Then χ is monomial; that is, χ = λG, where λ is a linear character of some subgroup of G. We are interested in locating subgroups of G which induce the character χ.
Teresa L. Santa Coloma
wiley +1 more source
Restriction of Odd Degree Characters of $\mathfrak{S}_n$ [PDF]
Let $n$ and $k$ be natural numbers such that $2^k < n$. We study the restriction to $\mathfrak{S}_{n-2^k}$ of odd-degree irreducible characters of the symmetric group $\mathfrak{S}_n$.
Bessenrodt, Christine +2 more
core +4 more sources
An update on Haiman’s conjectures
We revisit Haiman’s conjecture on the relations between characters of Kazdhan–Lusztig basis elements of the Hecke algebra over $S_n$ . The conjecture asserts that, for purposes of character evaluation, any Kazhdan–Lusztig basis element is reducible
Alex Corrêa Abreu, Antonio Nigro
doaj +1 more source
Splines on Cayley graphs of the symmetric group
A spline is an assignment of polynomials to the vertices of a graph whose edges are labeled by ideals, where the difference of two polynomials labeling adjacent vertices must belong to the corresponding ideal. The set of splines forms a ring. We consider
Nathan R. T. Lesnevich
doaj +1 more source
A Note on Skew Characters of Symmetric Groups
In previous work Regev used part of the representation theory of Lie superalgebras to compute the values of a character of the symmetric group whose decomposition into irreducible constituents is described by semistandard $(k,\ell)$-tableaux.
Taylor, Jay
core +1 more source
Improved covering results for conjugacy classes of symmetric groups via hypercontractivity
We study covering numbers of subsets of the symmetric group $S_n$ that exhibit closure under conjugation, known as normal sets. We show that for any $\epsilon>0$ , there exists $n_0$ such that if $n>n_0$ and A is a normal ...
Nathan Keller +2 more
doaj +1 more source
All Kronecker coefficients are reduced Kronecker coefficients
We settle the question of where exactly do the reduced Kronecker coefficients lie on the spectrum between the Littlewood-Richardson and Kronecker coefficients by showing that every Kronecker coefficient of the symmetric group is equal to a reduced ...
Christian Ikenmeyer, Greta Panova
doaj +1 more source
Partitions which are p- and q-core [PDF]
Let p and q be distinct primes, n an integer with n > p2q2. Then there is no partition of n which is at the same time p- and q-core.
Schlage-Puchta, Jan-Christoph
core
An inequality for means with applications
We show that an almost trivial inequality for the first and second mean of a random variable can be used to give non-trivial improvements on deep results. As applications we improve on results on lower bounds for the Riemann zeta-function on the critical
Schlage-Puchta, Jan-Christoph
core +1 more source

