Results 1 to 10 of about 432 (42)
Forum Mathematicum, 2011 We introduce a rank 3 geometry for any Ree group over a not necessarily perfect field and show that its full collineation group is the automorphism group of the corresponding Ree group.
Koen Struyve, Hendrik Van Maldeghem
exaly +3 more sources
From left modules to algebras over an operad: application to combinatorial Hopf algebras [PDF]
, 2009 The purpose of this paper is two fold: we study the behaviour of the forgetful functor from S-modules to graded vector spaces in the context of algebras over an operad and derive from this theory the construction of combinatorial Hopf algebras.
Livernet, Muriel
core +3 more sources
Extensions of tempered representations [PDF]
, 2012 Let $\pi, \pi'$ be irreducible tempered representations of an affine Hecke algebra H with positive parameters. We compute the higher extension groups $Ext_H^n (\pi,\pi')$ explicitly in terms of the representations of analytic R-groups corresponding to ...
D. Kazhdan +19 more
core +4 more sources
Derivations of the Moyal Algebra and Noncommutative Gauge Theories [PDF]
, 2008 The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features of noncommutative connections ...
Wallet, Jean-Christophe
core +8 more sources
Homotopy Batalin-Vilkovisky algebras [PDF]
, 2010 This paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties.
Galvez-Carrillo, Imma +2 more
core +10 more sources
Moufang sets and structurable division algebras [PDF]
, 2019 A Moufang set is essentially a doubly transitive permutation group such that each point stabilizer contains a normal subgroup which is regular on the remaining vertices; these regular normal subgroups are called the root groups, and they are assumed to ...
Boelaert, Lien +2 more
core +2 more sources
On resolvable Steiner 2-designs and maximal arcs in projective planes
, 2016 A combinatorial characterization of resolvable Steiner 2-$(v,k,1)$ designs embeddable as maximal arcs in a projective plane of order $(v-k)/(k-1)$ is proved, and a generalization of a conjecture by Andries Brouwer \cite{Br} is formulated.Comment ...
Tonchev, Vladimir D.
core +1 more source
Local Moufang sets and PSL_2 over a local ring [PDF]
, 2016 We introduce local Moufang sets as a generalization of Moufang sets. We present a method to construct local Moufang sets from only one root group and one permutation.
De Medts, Tom, Rijcken, Erik
core +2 more sources
A Census Of Highly Symmetric Combinatorial Designs
, 2007 As a consequence of the classification of the finite simple groups, it has been possible in recent years to characterize Steiner t-designs, that is t-(v,k,1) designs, mainly for t = 2, admitting groups of automorphisms with sufficiently strong symmetry ...
A. Delandtsheer +39 more
core +1 more source
Linear spaces with significant characteristic prime
, 2006 Let $G$ be a group with socle a simple group of Lie type defined over the finite field with $q$ elements where $q$ is a power of the prime $p$. Suppose that $G$ acts transitively upon the lines of a linear space $\mathcal{S}$. We show that if $p$ is {\it
Gill, Nick
core +1 more source