Results 11 to 20 of about 6,767 (30)
On homogeneous locally nilpotent derivations of trinomial algebras
, 2018 We provide an explicit description of homogeneous locally nilpotent derivations of the algebra of regular functions on affine trinomial hypersurfaces. As an application, we describe the set of roots of trinomial algebras.Comment: 14 pages.
Gaifullin, Sergey, Zaitseva, Yulia
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M-brane Models from Non-Abelian Gerbes
, 2012 We make the observation that M-brane models defined in terms of 3-algebras can be interpreted as higher gauge theories involving Lie 2-groups. Such gauge theories arise in particular in the description of non-abelian gerbes. This observation allows us to
Palmer, Sam, Saemann, Christian
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Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus
, 2008 Derivations of a noncommutative algebra can be used to construct differential calculi, the so-called derivation-based differential calculi. We apply this framework to a version of the Moyal algebra ${\cal{M}}$.
Cagnache, Eric +2 more
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Quasi-derivations and QD-algebroids
, 2003 Axioms of Lie algebroid are discussed in order to review some known aspects for non-experts. In particular, it is shown that a Lie QD-algebroid (i.e. a Lie algebra bracket on the Functions(M)-module F of sections of a vector bundle E over a manifold M ...
Grabowski +17 more
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Skolem-Noether for nilpotent products
, 2015 We consider the structure of groups and algebras that can be represented as automorphisms or derivations of distributive products -- which includes nonassociative rings, modules, forms, and commutation of groups and nonassociative loops.
Wilson, James B.
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Exponential map and $L_\infty$ algebra associated to a Lie pair
, 2012 In this note, we unveil homotopy-rich algebraic structures generated by the Atiyah classes relative to a Lie pair $(L,A)$ of algebroids. In particular, we prove that the quotient $L/A$ of such a pair admits an essentially canonical homotopy module ...
Laurent-Gengoux, Camille +2 more
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On conjugacy of Cartan subalgebras in extended affine Lie algebras
, 2016 That finite-dimensional simple Lie algebras over the complex numbers can be classified by means of purely combinatorial and geometric objects such as Coxeter-Dynkin diagrams and indecomposable irreducible root systems, is arguably one of the most elegant
Chernousov, Vladimir +3 more
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Derivations and the first cohomology group of trivial extension algebras
, 2017 In this paper we investigate in details derivations on trivial extension algebras. We obtain generalizations of both known results on derivations on triangular matrix algebras and a known result on first cohomology group of trivial extension algebras. As
Bennis, Driss, Fahid, Brahim
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Lie Algebras of Derivations and Resolvent Algebras
, 2012 This paper analyzes the action {\delta} of a Lie algebra X by derivations on a C*-algebra A. This action satisfies an "almost inner" property which ensures affiliation of the generators of the derivations {\delta} with A, and is expressed in terms of ...
Buchholz, Detlev, Grundling, Hendrik
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Jordan Derivations and Antiderivations of Generalized Matrix Algebras [PDF]
, 2012 Let $\mathcal{G}=[A & M N & B]$ be a generalized matrix algebra defined by the Morita context $(A, B,_AM_B,_BN_A, \Phi_{MN}, \Psi_{NM})$. In this article we mainly study the question of whether there exist proper Jordan derivations for the generalized ...
Feng Wei, Leon Van, Wyk, Yanbo Li
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