Results 11 to 20 of about 2,332 (80)

Space-time block codes from nonassociative division algebras

Advances in Mathematics of Communications, 2011
Associative division algebras are a rich source of fully diverse space-time block codes (STBCs). In this paper the systematic construction of fully diverse STBCs from nonassociative algebras is discussed. As examples, families of fully diverse $2\times 2$
Pumpluen, Susanne, Unger, Thomas
core   +3 more sources

Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors

Proceedings of the London Mathematical Society, Volume 127, Issue 3, Page 513-588, September 2023., 2023
Abstract We show that the mesh mutations are the minimal relations among the g${\bm{g}}$‐vectors with respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result to derive geometric properties of the g${\bm{g}}$‐vector fan: we show that the space of all its polytopal realizations is a simplicial cone, and we then ...
Arnau Padrol, Yann Palu, Vincent Pilaud, Pierre‐Guy Plamondon   +3 more
wiley   +1 more source

Extended B‐spline‐based implicit material point method enhanced by F‐bar projection method to suppress pressure oscillation

International Journal for Numerical Methods in Engineering, Volume 124, Issue 11, Page 2423-2448, 15 June 2023., 2023
Summary An enhancement of the extended B‐spline‐based implicit material point method (EBS‐MPM) is developed to avoid pressure oscillation and volumetric locking. The EBS‐MPM is a stable implicit MPM that enables the imposition of arbitrary boundary conditions thanks to the higher‐order EBS basis functions and the help of Nitsche's method. In particular,
Riichi Sugai, Jike Han, Yuya Yamaguchi, Shuji Moriguchi, Kenjiro Terada   +4 more
wiley   +1 more source

A hybrid strategy blending primal‐dual interior point and return mapping methods for a class of hypoelastic‐plastic models with memory surface

International Journal for Numerical Methods in Engineering, Volume 124, Issue 9, Page 1991-2013, 15 May 2023., 2023
Abstract By blending the primal‐dual interior point method (PDIPM) and the return mapping algorithm, we propose a hybrid strategy of implicit stress update for a class of hypoelastic‐plastic models with the hardening rule whose evolution is restricted by the memory surface.
Yuichi Shintaku, Fumitoshi Nakamura, Kenjiro Terada   +2 more
wiley   +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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Octonionic Representations of GL(8,R) and GL(4,C) [PDF]

, 1996
Octonionic algebra being nonassociative is difficult to manipulate. We introduce left-right octonionic barred operators which enable us to reproduce the associative GL(8,R) group.
Cayley A., Frobenius G., Khaled Abdel-Khalek, Stefano De Leo, Tits J.   +4 more
core   +2 more sources

One-loop unitarity of scalar field theories on Poincare invariant commutative nonassociative spacetimes [PDF]

, 2006
We study scalar field theories on Poincare invariant commutative nonassociative spacetimes. We compute the one-loop self-energy diagrams in the ordinary path integral quantization scheme with Feynman's prescription, and find that the Cutkosky rule is ...
A. Connes, C. Hayashi, L. Alvarez-Gaumé, L. Freidel, N. Seiberg, N. Seiberg, Naoki Sasakura, P. de Medeiros, S. Minwalla, S. Tanaka, T. Ootsuka, Yuya Sasai   +11 more
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Gauge theory on nonassociative spaces

, 2005
We show how to do gauge theory on the octonions and other nonassociative algebras such as `fuzzy $R^4$' models proposed in string theory. We use the theory of quasialgebras obtained by cochain twist introduced previously. The gauge theory in this case is
Albuquerque H., Connes A., Drinfeld V. G., Majid S., Majid S., Majid S., S. Majid   +6 more
core   +1 more source

Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi, Javad Shokri, Saeid Ostadbashi, Abdul Rauf Khan   +3 more
wiley   +1 more source

Polynomial Representations of Weak Inverse Property Quasigroups and Their Role in Cryptographic Primitives

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A connection between cryptography and polynomial functions is extremely significant. Mathematical performance of polynomials helps to enhance the cryptographic primitives, which are trustworthy as well as straightforward representation tools, in everyday use. In this research, explicit topological sequences Qf which correspond to degree‐based, distance‐
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Nwazish Ali, Abdu Qaid Alameri, Bin Pang   +5 more
wiley   +1 more source