Results 11 to 20 of about 154,479 (279)
On maximal immediate extensions of valued division algebras [PDF]
, 2003 We show an extension theorem for strictly contracting bilinear mappings into a spherically complete valued vector space and we apply this result to prove that every maximal valued division algebra having the same characteristic as its residue division ...
Banaschewski B. +13 more
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Dixon-Rosenfeld lines and the Standard Model
European Physical Journal C: Particles and Fields, 2023 We present three new coset manifolds named Dixon-Rosenfeld lines that are similar to Rosenfeld projective lines except over the Dixon algebra $$\mathbb {C}\otimes \mathbb {H}\otimes \mathbb {O}$$ C ⊗ H ⊗ O .
David Chester +4 more
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Octonionic representations of Clifford algebras and triality [PDF]
, 1994 The theory of representations of Clifford algebras is extended to employ the division algebra of the octonions or Cayley numbers. In particular, questions that arise from the non-associativity and non-commutativity of this division algebra are answered ...
A. Cayley +30 more
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Admissible groups, symmetric factor sets, and simple algebras
International Journal of Mathematics and Mathematical Sciences, 1984 Let K be a field of characteristic zero and suppose that D is a K-division algebra; i.e. a finite dimensional division algebra over K with center K. In Mollin [1] we proved that if K contains no non-trivial odd order roots of unity, then every finite odd
R. A. Mollin
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On Gelfand-Mazur theorem on a class of F-algebras
Topological Algebra and its Applications, 2014 A topological algebra A is said to be fundamental if there exists b > 1 such that for every sequence(xn) in A, (xn) is Cauchy whenever the sequence bn(xn − xn-1) tends to zero as n → ∞.
Anjidani E.
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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
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Plactic key agreement (insecure?)
Journal of Mathematical Cryptology, 2023 Plactic key agreement is a new type of cryptographic key agreement that uses Knuth’s multiplication of semistandard tableaux from combinatorial algebra.
Brown Daniel R. L.
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Degeneracy and decomposability in abelian crossed products [PDF]
, 2010 In this paper we study the relationship between degeneracy and decomposability in abelian crossed products. In particular we construct an indecomposable abelian crossed product division algebra of exponent $p$ and index $p^2$ for $p$ an odd prime.
McKinnie, Kelly
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A Combinatorial Discussion on Finite Dimensional Leavitt Path Algebras [PDF]
, 2012 Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings.
Esin, Songul +7 more
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Physical Review Physics Education Research, 2019 Mathematical reasoning with algebraic and geometric representations is essential for success in upper-division and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations.
Emily M. Smith +2 more
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