Results 141 to 150 of about 3,811 (236)

The N‐prime graph and the Subgroup Isomorphism Problem

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici, Ángel del Río, Marco Vergani   +2 more
wiley   +1 more source

On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley   +1 more source

Quadratic Forms of Skew Schur Functions

, 1988
A quadratic identity for skew Schur functions is proved combinatorially by means of a nonintersecting path representation of skew column-strict plane partitions, for which the skew Schur function is a generating function.
Goulden, I.P.
core   +1 more source

The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications

, 2012
For x=(x1,x2,…,xn)∈R+n, the second dual form of the Hamy symmetric function is defined by Hn∗∗(x,r)=Hn∗∗(x1,x2,…,xn;r)=∏1 ...
Chu, Yu-Ming, Wei-Feng Xia, Yu-Ming Chu, Zhang, Xiao-Hui, Xia, Wei-Feng, Xiao-Hui Zhang   +5 more
core   +1 more source

Extended Bressoud-Wei and Koike skew Schur function identities

, 2011
The Jacobi-Trudi identity expresses a skew Schur function as a determinant of complete symmetric functions. Bressoud and Wei extend this idea, introducing an integer parameter $t\geq-1$ and showing that signed sums of skew Schur functions of a certain ...
King, R.C., Hamel, A.M., Hamel, Angele M., King, Ronald C.   +3 more
core   +1 more source

The Schur-positivity of generalized nets

, 2023
A graph is Schur-positive if its chromatic symmetric function expands nonnegatively in the Schur basis. All claw-free graphs are conjectured to be Schur-positive. We introduce a combinatorial object corresponding to a graph G, called a special rim hook
Shelburne, Ethan
core  

Some Monotonicity Properties of the q-Gamma Function

, 2005
We prove some properties of completely monotonic functions and apply them to obtain new results on gamma and q-gamma ...
Gao, Peng
core  

Noncommutative Schur functions for posets

, 2022
The machinery of noncommutative Schur functions is a general approach to Schur positivity of symmetric functions initiated by Fomin-Greene. Hwang recently adapted this theory to posets to give a new approach to the Stanley-Stembridge conjecture.
Blasiak, Jonah, Pylyavskyy, Pavlo, Eriksson, Holden, Siegl, Isaiah   +3 more
core  

Schur-convexity of the complete elementary symmetric function

Journal of Inequalities and Applications, 2006
We prove that the complete elementary symmetric function and the function are Schur-convex functions in , where are nonnegative integers, , . For which, some inequalities are established by use of the theory of majorization. A problem given by K.
Guan Kaizhong
doaj  

Yleistetyt Schur-funktiot ja passiiviset systeemit

, 2021
Passive discrete-time systems or contractive operator colligations in Pontryagin space setting are investigated. Transfer functions of such systems are generalized Schur functions, and hence these systems offer state space realizations for such functions.
Lilleberg, Lassi
core