Results 61 to 70 of about 305,985 (193)
Representations of reductive normal algebraic monoids
The rational representation theory of a reductive normal algebraic monoid (with one-dimensional center) forms a highest weight category, in the sense of Cline, Parshall, and Scott.
D.J. Grigor’ev+7 more
core +1 more source
Orbits of strongly solvable spherical subgroups on the flag variety [PDF]
Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup H of B acting with finitely many orbits on the flag variety G/B, and we classify the H-orbits in G/B in terms of suitable combinatorial invariants.
Gandini, Jacopo, Pezzini, Guido
core +2 more sources
A new construction of forests with low visibility
Abstract A set of points with finite density is constructed in Rd$\mathbb {R}^d$, with d⩾2$d\geqslant 2$, by adding points to a Poisson process such that any line segment of length Oε−(d−1)lnε−1$O\left(\varepsilon ^{-(d-1)}\ln \varepsilon ^{-1}\right)$ in Rd$\mathbb {R}^d$ will contain one of the points of the set within distance ε$\varepsilon$ of it ...
Kirill Kashkan
wiley +1 more source
Enumerative geometry meets statistics, combinatorics and topology [PDF]
We explain connections among several, a priori unrelated, areas of mathematics: combinatorics, algebraic statistics, topology and enumerative algebraic geometry. Our focus is on discrete invariants, strongly related to the theory of Lorentzian polynomials. The main concept joining the mentioned fields is a linear space of matrices.
arxiv
A four‐dimensional peabody of constant width
Abstract In this paper, we present a unique four‐dimensional body of constant width based on the classical notion of focal conics.
Isaac Arelio+2 more
wiley +1 more source
Graphs Connected to Isotopes of Inverse Property Quasigroups: A Few Applications
Many real-world applications can be modelled as graphs or networks, including social networks and biological networks. The theory of algebraic combinatorics provides tools to analyze the functioning of these networks, and it also contributes to the ...
Muhammad Nadeem+2 more
doaj +1 more source
Are even maps on surfaces likely to be bipartite? [PDF]
It is well known that a planar map is bipartite if and only if all its faces have even degree (what we call an even map). In this paper, we show that rooted even maps of positive genus $g$ chosen uniformly at random are bipartite with probability tending
Guillaume Chapuy
doaj +1 more source
Truncated determinants and the refined enumeration of Alternating Sign Matrices and Descending Plane Partitions [PDF]
Lecture notes for the proceedings of the workshop "Algebraic Combinatorics related to Young diagram and statistical physics", Aug.
Di Francesco, Philippe
core
Some remarks on multiplicity codes
Multiplicity codes are algebraic error-correcting codes generalizing classical polynomial evaluation codes, and are based on evaluating polynomials and their derivatives.
Kopparty, Swastik
core +1 more source
An exotic calculus of Berezin–Toeplitz operators
Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source