Results 91 to 100 of about 56,264 (249)
The Combinatorics of Iterated Loop Spaces
, 2003 It is well known since Stasheff's work that 1-fold loop spaces can be described in terms of the existence of higher homotopies for associativity (coherence conditions) or equivalently as algebras of contractible non-symmetric operads.
Batanin, M. A.
core +1 more source
Commuting Pairs in Quasigroups
Journal of Combinatorial Designs, Volume 33, Issue 11, Page 418-427, November 2025.ABSTRACT A quasigroup is a pair ( Q , ∗ ), where Q is a nonempty set and ∗ is a binary operation on Q such that for every ( a , b ) ∈ Q 2, there exists a unique ( x , y ) ∈ Q 2 such that a ∗ x = b = y ∗ a. Let ( Q , ∗ ) be a quasigroup. A pair ( x , y ) ∈ Q 2 is a commuting pair of ( Q , ∗ ) if x ∗ y = y ∗ x.
Jack Allsop, Ian M. Wanless
wiley +1 more source
Ibadan Lectures on Toric Varieties
, 2017 Toric varieties are perhaps the most accessible class of algebraic varieties. They often arise as varieties parameterized by monomials, and their structure may be completely understood through objects from geometric combinatorics.
Sottile, Frank
core
Representations of reductive normal algebraic monoids
, 2014 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
Symmetric 2‐ ( 35 , 17 , 8 ) Designs With an Automorphism of Order 2
Journal of Combinatorial Designs, Volume 33, Issue 10, Page 399-403, October 2025.ABSTRACT The largest prime p that can be the order of an automorphism of a 2‐ ( 35 , 17 , 8 ) design is p = 17, and all 2‐ ( 35 , 17 , 8 ) designs with an automorphism of order 17 were classified by Tonchev. The symmetric 2‐ ( 35 , 17 , 8 ) designs with automorphisms of an odd prime order p < 17 were classified in Bouyukliev, Fack and Winne and ...
Sanja Rukavina, Vladimir D. Tonchev
wiley +1 more source
The weak Lefschetz property for artinian Gorenstein algebras
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3211-3222, October 2025.Abstract It is an extremely elusive problem to determine which standard artinian graded K$K$‐algebras satisfy the weak Lefschetz property (WLP). Codimension 2 artinian Gorenstein graded K$K$‐algebras have the WLP and it is open to what extent such result might work for codimension 3 artinian Gorenstein graded K$K$‐algebras.
Rosa M. Miró‐Roig
wiley +1 more source
Truncated determinants and the refined enumeration of Alternating Sign Matrices and Descending Plane Partitions [PDF]
, 2012 Lecture notes for the proceedings of the workshop "Algebraic Combinatorics related to Young diagram and statistical physics", Aug.
Di Francesco, Philippe
core
Algebraic Systems Biology: A Case Study for the Wnt Pathway
, 2015 Steady state analysis of dynamical systems for biological networks give rise to algebraic varieties in high-dimensional spaces whose study is of interest in their own right. We demonstrate this for the shuttle model of the Wnt signaling pathway. Here the
Gross, Elizabeth +3 more
core +1 more source
Moments, sums of squares, and tropicalization
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman +4 more
wiley +1 more source
Semidefinite programming, harmonic analysis and coding theory
, 2009 These lecture notes where presented as a course of the CIMPA summer school in Manila, July 20-30, 2009, Semidefinite programming in algebraic combinatorics.
Bachoc, Christine
core +6 more sources