Results 1 to 10 of about 35 (35)

Parabolic Catalan numbers count flagged Schur functions and their appearances as type A Demazure characters (key polynomials) [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
Fix an integer partition lambda that has no more than n parts. Let beta be a weakly increasing n-tuple with entries from {1,..,n}. The flagged Schur function indexed by lambda and beta is a polynomial generating function in x_1, .., x_n for certain ...
Robert A. Proctor, Matthew J. Willis
doaj   +1 more source

FRIEZE PATTERNS WITH COEFFICIENTS

open access: yesForum of Mathematics, Sigma, 2020
Frieze patterns, as introduced by Coxeter in the 1970s, are closely related to cluster algebras without coefficients. A suitable generalization of frieze patterns, linked to cluster algebras with coefficients, has only briefly appeared in an unpublished ...
MICHAEL CUNTZ   +2 more
doaj   +1 more source

On applications of bipartite graph associated with algebraic structures

open access: yesOpen Mathematics, 2020
The latest developments in algebra and graph theory allow us to ask a natural question, what is the application in real world of this graph associated with some mathematical system? Groups can be used to construct new non-associative algebraic structures,
Zhang Xiujun   +3 more
doaj   +1 more source

EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS

open access: yesForum of Mathematics, Pi, 2017
We address a unification of the Schubert calculus problems solved by Buch [A Littlewood–Richardson rule for the $K$ -theory of Grassmannians, Acta Math. 189 (
OLIVER PECHENIK, ALEXANDER YONG
doaj   +1 more source

Krein-space operators determined by free product algebras induced by primes and graphs

open access: yesSpecial Matrices, 2017
In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
doaj   +1 more source

Matrices induced by arithmetic functions acting on certain Krein spaces

open access: yesSpecial Matrices, 2017
In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
Cho Ilwoo
doaj   +1 more source

Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs

open access: yesSpecial Matrices, 2015
In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the
Cho Ilwoo, Jorgensen Palle E. T.
doaj   +1 more source

The classification of partially symmetric 3-braid links

open access: yesOpen Mathematics, 2015
We classify 3-braid links which are amphicheiral as unoriented links, including a new proof of Birman- Menasco’s result for the (orientedly) amphicheiral 3-braid links. Then we classify the partially invertible 3-braid links.
Stoimenov Alexander
doaj   +1 more source

Three enumeration formulas of standard young tableaux of truncated shapes

open access: yes, 2019
In this paper we consider the enumeration of three kinds of standard Young tableaux (SYT) of truncated shapes by use of the method of multiple integrals.
Sun, Ping
core  

Fischer-Clifford matrices of the generalized symmetric group - (A computational approach)

open access: yes, 2017
Let Zm be the cyclic group of order m and N be the direct product of ncopies of Zm. Let Sn be the symmetric group of degree n. The wreath product ofZm with Sn is a split extension of N by Sn, called the generalized symmetric group,here denoted by B(m; n).
Moori, Jamshid, Zimba, Kenneth
core  

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