Results 51 to 60 of about 2,503,474 (234)
The commutator algebra of a nilpotent matrix and an application to the theory of commutative Artinian algebras [PDF]
, 2008 We show a number of properties of the commutator algebra of a nilpotent matrix over a field. In particular we determine the simple modules of the commutator algebra.
T. Harima, J. Watanabe
semanticscholar +1 more source
De Sitter Supergravity Model Building
, 2015 We present the explicit de Sitter supergravity action describing the interaction of supergravity with an arbitrary number of chiral and vector multiplets as well as one nilpotent chiral multiplet. The action has a non-Gaussian dependence on the auxiliary
Kallosh, Renata, Wrase, Timm
core +2 more sources
Nilpotent deformations of N=2 superspace
, 2003 We investigate deformations of four-dimensional N=(1,1) euclidean superspace induced by nonanticommuting fermionic coordinates. We essentially use the harmonic superspace approach and consider nilpotent bi-differential Poisson operators only. One variant
A. Galperin +29 more
core +2 more sources
The algebra of parallel endomorphisms of a germ of pseudo-Riemannian metric
, 2015 On a (pseudo-)Riemannian manifold (M,g), some fields of endomorphisms i.e. sections of End(TM) may be parallel for g. They form an associative algebra A, which is also the commutant of the holonomy group of g.
Boubel, Charles
core +1 more source
Some nilpotent and locally nilpotent matrix groups
Journal of Pure and Applied Algebra, 1989 The task of the paper under review is a detailed discussion of nilpotent and locally nilpotent matrix groups over ``special'' division rings. The notion of a ``special'' division ring is introduced by the author and denotes a division ring D with the following property: For every finite subset X of D and every finite subset Y of the subring R of D ...
openaire +1 more source
Linear Diophantine equations and conjugator length in 2‐step nilpotent groups
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We establish upper bounds on the lengths of minimal conjugators in 2‐step nilpotent groups. These bounds exploit the existence of small integral solutions to systems of linear Diophantine equations. We prove that in some cases these bounds are sharp.
M. R. Bridson, T. R. Riley
wiley +1 more source
Elementary invariants for centralizers of nilpotent matrices
, 2006 We construct an explicit set of algebraically independent generators for the center of the universal enveloping algebra of the centralizer of a nilpotent matrix in the Lie algebra gl_N(C).
Brundan +5 more
core +1 more source
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
wiley +1 more source
Songklanakarin Journal of Science and Technology (SJST), 2005 A matrix S is said to be an nth root of a matrix A if Sn = A, where n is a positive integer greater than or equal to 2. If there is no such matrix for any integer n > 2, A is called a rootless matrix. After investigating the properties of these matrices,
Chaufah Nilrat, Boonrod Yuttanan
doaj
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
wiley +1 more source