Results 11 to 20 of about 9,829 (125)
Quaternionic and Octonionic Spinors. A Classification [PDF]
, 2003 Quaternionic and octonionic realizations of Clifford algebras and spinors are classified and explicitly constructed in terms of recursive formulas. The most general free dynamics in arbitrary signature space-times for both quaternionic and octonionic ...
C.A. Barton +29 more
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Graded commutative algebras: examples, classification, open problems [PDF]
, 2009 We consider $\G$-graded commutative algebras, where $\G$ is an abelian group. Starting from a remarkable example of the classical algebra of quaternions and, more generally, an arbitrary Clifford algebra, we develop a general viewpoint on the subject. We
Anatol Odzijewicz +6 more
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Fermionic matrix product states and one-dimensional topological phases [PDF]
, 2017 We develop the formalism of fermionic matrix product states (fMPS) and show how irreducible fMPS fall in two different classes, related to the different types of simple Z(2) graded algebras, which are physically distinguished by the absence or presence ...
Bultinck, Nick +3 more
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Pfister's Theorem for orthogonal involutions of degree 12 [PDF]
, 2007 We use the fact that a projective half-spin representation of $Spin_{12}$ has an open orbit to generalize Pfister's result on quadratic forms of dimension 12 in $I^3$ to orthogonal ...
Garibaldi, Skip +1 more
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Clifford algebras, spinors and fundamental interactions : Twenty Years After [PDF]
, 2005 This is a short review of the algebraic properties of Clifford algebras and spinors. Their use in the description of fundamental physics (elementary particles) is also summarized.
Coquereaux, Robert
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Ternary numbers and algebras. Reflexive numbers and Berger graphs [PDF]
, 2006 The Calabi-Yau spaces with SU(m) holonomy can be studied by the algebraic way through the integer lattice where one can construct the Newton reflexive polyhedra or the Berger graphs.
Dubrovskiy, A., Volkov, G.
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Idempotents of Clifford Algebras
, 2003 A classification of idempotents in Clifford algebras C(p,q) is presented. It is shown that using isomorphisms between Clifford algebras C(p,q) and appropriate matrix rings, it is possible to classify idempotents in any Clifford algebra into continuous ...
Ablamowicz, R. +3 more
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, 2004 Relying upon the division-algebra classification of Clifford algebras and spinors, a classification of generalized supersymmetries (or, with a slight abuse of language,"generalized supertranslations") is provided.
C. Fronsdal +17 more
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Special Vinberg cones of rank 4
Journal of High Energy PhysicsE.B. Vinberg developed a theory of homogeneous convex cones $$C\subset V={\mathbb{R}}^{n}$$ , which has many applications. He gave a construction of such cones in terms of non-associative rank n matrix T-algebras $$\mathcal{T}$$ , that consist of vector ...
D. V. Alekseevsky, P. Osipov
doaj +1 more source
V.M. Miklyukov: from dimension 8 to nonassociative algebras
, 2019 In this short survey we give a background and explain some recent developments in algebraic minimal cones and nonassociative algebras. A good deal of this paper is recollections of my collaboration with my teacher, PhD supervisor and a colleague ...
Tkachev, Vladimir G.
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