Results 11 to 20 of about 3,742 (131)

Derived categories of hearts on Kuznetsov components

Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2146-2174, December 2023., 2023
Abstract We prove a general criterion that guarantees that an admissible subcategory K$\mathcal {K}$ of the derived category of an abelian category is equivalent to the bounded derived category of the heart of a bounded t‐structure. As a consequence, we show that K$\mathcal {K}$ has a strongly unique dg enhancement, applying the recent results of ...
Chunyi Li, Laura Pertusi, Xiaolei Zhao
wiley   +1 more source

Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The algebra of split quaternions is a recently increasing topic in the study of theory and numerical computation in split quaternionic mechanics. This paper, by means of a real representation of a split quaternion matrix, studies the problem of canonical forms of a split quaternion matrix and derives algebraic techniques for finding the canonical forms
Tongsong Jiang, Dong Zhang, Zhenwei Guo, Gang Wang, V. I. Vasil’ev, Zafar Ullah   +5 more
wiley   +1 more source

Characteristics of Regular Functions Defined on a Semicommutative Subalgebra of 4‐Dimensional Complex Matrix Algebra

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we give an extended quaternion as a matrix form involving complex components. We introduce a semicommutative subalgebra ℂ(ℂ2) of the complex matrix algebra M(4, ℂ). We exhibit regular functions defined on a domain in ℂ4 but taking values in ℂ(ℂ2).
Ji Eun Kim, V. Ravichandran
wiley   +1 more source

Norms and noncommutative Jordan algebras [PDF]

Pacific Journal of Mathematics, 1965
The author defines \(Q\) to be a form on a vector spare \(X\) if \(Q\) is a homogeneous polynomial function on \(X\). For any rational mapping \(F\) from a space \(X_1\) into \(X_2\) let \(\partial F\) denote the differential of \(F\) and \(\partial F\,|_x\), the differential at \(x \in X_1\). Now \(\partial F\,|_x\) is a linear map and \(\partial_u F\,
openaire   +3 more sources

Conditional Probability, Three-Slit Experiments, and the Jordan Algebra Structure of Quantum Mechanics

Advances in Mathematical Physics, 2012
Most quantum logics do not allow for a reasonable calculus of conditional probability. However, those ones which do so provide a very general and rich mathematical structure, including classical probabilities, quantum mechanics, and Jordan algebras. This
Gerd Niestegge
doaj   +1 more source

Noncommutative Jordan C*-algebras

Manuscripta Mathematica, 1982
We introduce noncommutative JB*-algebras which generalize both B*-algebras and JB*-algebras and set up the bases for a representation theory of noncommutative JB*-algebras. To this end we define noncommutative JB*-factors and study the factor representations of a noncommutative JB*-algebra.
Payá, R., Pérez, J., Rodriguez, A.
openaire   +1 more source

Factorizations of Elements in Noncommutative Rings: A Survey [PDF]

, 2016
We survey results on factorizations of non zero-divisors into atoms (irreducible elements) in noncommutative rings. The point of view in this survey is motivated by the commutative theory of non-unique factorizations.
A Geroldinger, A Leroy, A Loewy, AW Chatters, AW Chatters, D Bachman, D Haile, D Lissner, D Smertnig, DA Jordan, DR Estes, DR Estes, DR Estes, DR Estes, E Hallouin, E Jespers, E Jespers, E Landau, G Grätzer, G Hegedüs, G Hegedüs, GQ Abbasi, H Cohn, H Fitting, H Marubayashi, H-H Brungs, I Gelfand, J Bergen, J Delenclos, J Towber, JH Conway, KR Goodearl, L Bruyn Le, M Chamarie, M-F Vignéras, MP Gilchrist, NR Baeth, NR Baeth, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, TY Lam, V Retakh   +56 more
core   +1 more source

The algebraic and geometric classification of nilpotent noncommutative Jordan algebras [PDF]

Journal of Algebra and Its Applications, 2020
We give algebraic and geometric classifications of complex four-dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only [Formula: see text] non-isomorphic nontrivial nilpotent noncommutative Jordan algebras.
Jumaniyozov, Doston, Kaygorodov, Ivan, Khudoyberdiyev, Abror   +2 more
openaire   +2 more sources

Lie-admissible, nodal, noncommutative Jordan algebras [PDF]

Transactions of the American Mathematical Society, 1971
The main theorem is that if \(A\) is a central simple flexible algebra, with an identity, of arbitrary dimension over a field \(F\) of characteristic not 2, and if \(A\) is Lie-admissible and \(A^+\) is associative, then \(\operatorname{ad}(A)'=[A,A]/F\) is a simple Lie algebra. The proof is modeled on \textit{I. N.
openaire   +2 more sources

A Century of Turbulent Cascades and the Emergence of Multifractal Operators

Earth and Space Science, Volume 7, Issue 3, March 2020., 2020
Abstract A century of cascades and three decades of multifractals have built up a truly interdisciplinary framework that has enabled a new approach and understanding of nonlinear phenomena, in particular, in geophysics. Nevertheless, there seems to be a profound gap between the potentials of multifractals and their actual use.
Daniel Schertzer, Ioulia Tchiguirinskaia
wiley   +1 more source