Results 101 to 110 of about 6,650 (233)
AbstractWe introduce a version of the Brauer–Wall group for Real vector bundles of algebras (in the sense of Atiyah) and compare it to the topological analogue of the Witt group. For varieties over the reals, these invariants capture the topological parts of the Brauer–Wall and Witt groups.
Karoubi, Max, Weibel, Charles
openaire +2 more sources
Differential graded Brauer groups
We consider central simple $K$-algebras which happen to bedifferential graded $K$-algebras. Two such algebras $A$ and $B$are considered equivalent if there are bounded complexes of finite dimensional$K$-vector spaces $C_A$ and $C_B$ such that the ...
Zimmermann, Alexander
core
Brauer relations in finite groups II : quasi-elementary groups of order paq [PDF]
This is the second in a series of papers investigating the space of Brauer relations of a finite group, the kernel of the natural map from its Burnside ring to the rational representation ring.
Bartel, Alex, Dokchitser, Tim
core +1 more source
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Homotopy representability of Brauer groups
The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative ...
Cegarra, Antonio M.
core
We introduce a diagrammatic monoidal category, the spin Brauer category, that plays the same role for the spin and pin groups as the Brauer category does for the orthogonal groups.
Savage, Alistair, McNamara, Peter J.
core
Graded Brauer groups of a groupoid with involution
International audienceWe define a group BrR(G) containing, in a sense, the graded complex and orthogonal Brauer groups of a locally compact groupoid G equipped with an involution.
Moutuou, Elkaioum, Moutuou, El-Kaioum M.
core +1 more source
ABSTRACT Word‐final position is widely recognized as a structurally weak and restricted domain, yet languages differ strikingly in how they regulate segments and clusters at the right edge. While some systems categorically prohibit final consonants, others allow only a subset of segments, and still others impose process‐based adjustments such as final ...
Semra Baturay Meral
wiley +1 more source
Two non-isomorphic finite groups form a Brauer pair if there exist a bijection for the conjugacy classes and a bijection for the irreducible characters that preserve all the character values and the power map. Generalizing the definition of a Brauer pair
Nenciu, Adriana
core +1 more source
On the Auslander–Reiten theory for extended hearts of proper connective dg algebras
Abstract We prove that, for a proper connective dg algebra A$A$ with cohomology concentrated in degrees between 1−d$1-d$ and 0, the extended heart Dfd(A)(−d,0]⊆Dfd(A)$\mathcal {D}^{\mathrm{fd}}(A)^{(-d,0]}\subseteq \mathcal {D}^{\mathrm{fd}}(A)$ is an extriangulated category with almost‐split conflations.
Nao Mochizuki, Marvin Plogmann
wiley +1 more source

