Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Integral Cayley numbers - MaRDI portal

Integral Cayley numbers

From MaRDI portal
Publication:2653153

DOI10.1215/S0012-7094-46-01347-6zbMath0063.01004OpenAlexW2097080478WikidataQ56091334 ScholiaQ56091334MaRDI QIDQ2653153

H. S. M. Coxeter

Publication date: 1946

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-46-01347-6




Related Items (55)

Prime factorization of integral Cayley octavesAlbert algebras over and other ringsSporadic groups, code loops and nonvanishing cohomologyOn an explicit isomorphism of standard level-one modules for \(\hat D_{4n}\)A Moufang loop, the exceptional Jordan algebra, and a cubic form in 27 variablesThe maximal subloops of the simple Moufang loop of order 1080.Maximal subloops of finite simple Moufang loops.Configurations of lines in del Pezzo surfaces with Gosset polytopest-designs in projective spacesA finite flag-transitive geometry of extended \(G_ 2\)-typeIntegersLevel one algebraic cusp forms of classical groups of small rankA survey on Albert algebrasSaint Petersburg school of the theory of linear groups. I: PrehistoryHypernumbers and quantum field theory with a summary of physically applicable hypernumber arithmetics and their geometriesThe non-orthogonal Cayley–Dickson construction and the octonionic structure of the E8-latticeThe octonions as a twisted group algebraHYPERBOLIC MANIFOLDS THAT FIBRE ALGEBRAICALLY UP TO DIMENSION 8A series of algebras generalizing the octonions and Hurwitz-Radon identityDetermination of the element numbers of the regular polytopesMatrices of rational integersA note on Moufang loops arising from octonion algebras over rings.The Maaß space for Cayley numbersSpectral measures for G2, II: Finite subgroups(Re)constructing Code LoopsThe singular modular forms on the 27-dimensional exceptional domainMultiplicative invariant lattices in \(\mathbb{R}^n\) obtained by twisting of group algebras and some explicit characterizations.Lattices of Simplex TypeThe Theory of Jacobi Forms over the Cayley NumbersThe Abstract Group G3, 7, 16Multiplier systems for the modular group on the 27-dimensional exceptional domainGenerators of nonassociative simple Moufang loops over finite prime fieldsM-theory cosmology, octonions, error correcting codesCusp forms on the exceptional group of typeExplicit Construction of the Voronoi and Delaunay Cells of W(An) and W(Dn) Lattices and Their FacetsHyperbolic Weyl groups and the four normed division algebrasOctonions and the Leech latticeQuantum symmetries: from Clifford and Hurwitz algebras to M-theory and Leech latticesAn exceptional arithmetic group and its Eisenstein seriesConway's group and octonionsA NON-ORTHOGONAL CAYLEY–DICKSON DOUBLINGIdeals in the integral octavesChern class formulas for $G_{2}$ Schubert lociReflection groups on the octave hyperbolic planeGosset polytopes in integral octonionsUnnamed ItemFinite subgroups of G2,(c)Exceptional presentations of three generalized hexagons of order 2On Cosets of the Unit Loop of Octonion IntegersSome exceptional 2-adic buildingsFinite simple groups which projectively embed in an exceptional Lie group are classified!Parameters of t-designs in \({\mathbb{F}}P^{d-1}\)The Maaß-space on the half-plane of Cayley numbers of degree twoFinite Lorentz transformations, automorphisms, and division algebrasHamiltonian Loops




This page was built for publication: Integral Cayley numbers