Results 1 to 10 of about 149 (98)
Square-central and Artin–Schreier elements in division algebras [PDF]
Archiv Der Mathematik, 2015 We study the behavior of square-central elements and Artin-Schreier elements in division algebras of exponent 2 and degree a power of 2. We provide chain lemmas for such elements in division algebras over 2-fields $F$ of cohomological $2$-dimension $\operatorname{cd}_2(F) \leq 2$, and deduce a common slot lemma for tensor products of quaternion ...
Adam Chapman, Chapman Adam
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Projective bases of division algebras and groups of central type [PDF]
Israel Journal of Mathematics, 2005 The paper under review continues the study, started by the first two authors, of those twisted group algebras over a field \(k\), which are in fact central division algebras. They have proved [see Isr. J. Math. 121, 173-198 (2001; Zbl 0978.16027)] that the groups corresponding to these algebras are nilpotent, and also, have reduced the presentation of ...
Eli Aljadeff, Darrell Haile
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Central Graded Division Algebras
Journal of Algebra, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ming-Chang Kang
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Realizing central division algebras [PDF]
Pacific Journal of Mathematics, 1983 Eine torsionsfreie abelsche Gruppe heißt \(p\)-lokal, falls \(G\) durch alle Primzahlen \(\neq p\) teilbar ist. Ist \(E(G)\) der Endomorphismenring von \(G\), so heißt die Koeffizientenerweiterung \({\mathbb{Q}}\otimes E(G)\) der Quasiendomorphismenring von \(G\). Die Verff.
Pierce, R. S., Vinsonhaler, C.
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POINTED HOPF ACTIONS ON CENTRAL SIMPLE DIVISION ALGEBRAS [PDF]
Transformation Groups, 2022 23 ...
ETINGOF, P., NEGRON, C.
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On the local langlands conjecture for central division algebras of indexp
Inventiones Mathematicae, 1980 exaly +2 more sources
EUCLIDEAN MINIMA AND CENTRAL DIVISION ALGEBRAS [PDF]
International Journal of Number Theory, 2009 The notion of Euclidean minimum of a number field is a classical one. In this paper, we generalize it to central division algebras and establish some general results in this new context.
Bayer-Fluckiger, Eva +2 more
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Identities and central polynomials for real graded division algebras [PDF]
International Journal of Algebra and Computation, 2017 Let [Formula: see text] be a finite dimensional simple real algebra with a division grading by a finite abelian group [Formula: see text]. In this paper, we provide a finite basis for the [Formula: see text]-ideal of graded polynomial identities for [Formula: see text] and a finite basis for the [Formula: see text]-space of graded central polynomials ...
Diogo Diniz +2 more
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Finite Dimensional Hopf Actions on Central Division Algebras [PDF]
International Mathematics Research Notices, 2016 Let $\mathbb{k}$ be an algebraically closed field of characteristic zero. Let $D$ be a division algebra of degree $d$ over its center $Z(D)$. Assume that $\mathbb{k}\subset Z(D)$. We show that a finite group $G$ faithfully grades $D$ if and only if $G$ contains a normal abelian subgroup of index dividing $d$.
Cuadra-Diaz, Juan, Etingof, Pavel I
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A note on Clifford algebras and central division algebras with involution [PDF]
Glasgow Mathematical Journal, 1985 In this note we consider the question as to which central division algebras occur as the Clifford algebra of a quadratic form over a field. Non-commutative ones other than quaternion division algebras can occur and it is also the case that there are certain central division algebras D which, while not themselves occurring as a Clifford algebra, are ...
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