Results 1 to 10 of about 4,281 (128)
On a class of noncommutative Jordan algebras. [PDF]
Proc Natl Acad Sci U S A, 1966 McCrimmon, K., Schafer, R. D.
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Noncommutative topology and Jordan operator algebras [PDF]
Mathematische Nachrichten, 2018 Jordan operator algebras are norm-closed spaces of operators on a Hilbert space with $a^2 \in A$ for all $a \in A$. We study noncommutative topology, noncommutative peak sets and peak interpolation, and hereditary subalgebras of Jordan operator algebras.
Blecher, David P., Neal, Matthew
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Noncommutative jordan algebras with commutators satisfying an alternativity condition. [PDF]
Proc Natl Acad Sci U S A, 1970 The theorems of this paper show that the main results in the structure and representation theory of Jordan algebras and of alternative algebras are valid for a larger class of algebras defined by simple identities which obviously hold in the Jordan and alternative cass. A new unification of the Jordan and associative theories is also achieved.
Block RE.
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Structure and representations of noncommutative C*-Jordan algebras
Manuscripta Mathematica, 1983 We show that a unital n.c. (noncommutative) JB*-algebra has a faithful family of factor-representations of type I and determine the structure of n.c. JB*-factors: A n.c. JB*-factor is a commutative Jordan algebra, or flexible quadratic, or a quasi CC*-algebra.
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Journal of Algebra, 1995 AbstractIn this paper we study the noncommutative Jordan real division algebras of dimension 8, whose Lie derivation algebra is nontrivial and give an affirmative answer to a question posed by Benkart and Osborn. We characterize also the noncommutative Jordan real division algebras of dimension 8, whose automorphism group is nontrivial.
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Noncommutative matrix Jordan algebras [PDF]
Transactions of the American Mathematical Society, 1992 We consider noncommutative degree two Jordan algebras J \mathcal {J} of two by two matrices whose off diagonal entries are from an anticommutative algebra S \mathcal {S} . We give generators and relations for the automorphism group of J \mathcal {J} and determine ...
Brown, Robert B., Hopkins, Nora C.
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The standard model, the Pati–Salam model, and ‘Jordan geometry’
New Journal of Physics, 2020 We argue that the ordinary commutative and associative algebra of spacetime coordinates (familiar from general relativity) should perhaps be replaced, not by a noncommutative algebra (as in noncommutative geometry), but rather by a Jordan algebra ...
Latham Boyle, Shane Farnsworth
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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
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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 +5 more
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