Results 11 to 20 of about 2,405,135 (316)
Every synaptic algebra has the monotone square root property [PDF]
arXiv, 2016 A synaptic algebra is a common generalization of several ordered algebraic structures based on algebras of self-adjoint operators, including the self-adjoint part of an AW*-algebra. In this paper we prove that a synaptic algebra A has the monotone square property, i.e., if a and b are positive elements, then if a is less or equal than b, then the ...
D. Foulis, A. Jenčová, S. Pulmannová
arxiv +2 more sources
On the action of Steenrod squares on polynomial algebras [PDF]
Proceedings of the American Mathematical Society, 1991 Let P s {P_s} be the mod − 2 \bmod - 2 cohomology of the elementary abelian group ( Z / 2 Z ) × ⋯ × ( Z / 2 Z ) (Z/2Z)
William M. Singer
openalex +3 more sources
The subconstituent algebra of a Latin square
European Journal of Combinatorics, 2008 AbstractIt is well-known that one may construct a 4-class association scheme on the positions of a Latin square, where the relations are the identity, being in the same row, being in the same column, having the same entry, and everything else. We describe the subconstituent (Terwilliger) algebras of such an association scheme.
Brian Curtin, Ibtisam Daqqa
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On Square-Integrable Representations of A Lie Group of 4-Dimensional Standard Filiform Lie Algebra [PDF]
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020 In this paper, we study irreducible unitary representations of a real standard filiform Lie group with dimension equals 4 with respect to its basis. To find this representations we apply the orbit method introduced by Kirillov. The corresponding orbit of
Edi Kurniadi
doaj +2 more sources
The Square-Zero Basis of Matrix Lie Algebras [PDF]
Mathematics, 2020 A method is presented that allows one to compute the maximum number of functionally-independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a basis of square-zero matrices even on a field of positive
Raúl Durán Díaz +3 more
doaj +4 more sources
The algebraic square peg problem [PDF]
arXiv, 2014 The square peg problem asks whether every continuous curve in the plane that starts and ends at the same point without self-intersecting contains four distinct corners of some square. Toeplitz conjectured in 1911 that this is indeed the case. Hundred years later we only have partial results for curves with additional smoothness properties.
arxiv +3 more sources
Algebras with radical square zero are either self-injective or CM-free
, 2011 An artin algebra is called CM-free provided that all its finitely generated Gorenstein projective modules are projective. We show that a connected artin algebra with radical square zero is either self-injective or CM-free. As a consequence, we prove that
Xiao‐Wu Chen
openalex +2 more sources
An octonionic construction of E8 and the Lie algebra magic square [PDF]
Innovations in Incidence Geometry Algebraic Topological and Combinatorial, 2022 We give a new construction of the Lie algebra of type $E_8$, in terms of $3\times3$ matrices, such that the Lie bracket has a natural description as the matrix commutator.
R. Wilson, T. Dray, C. Manogue
semanticscholar +1 more source
Square-root higher-order Weyl semimetals [PDF]
Nature Communications, 2022 The mathematical foundation of quantum mechanics is built on linear algebra, while the application of nonlinear operators can lead to outstanding discoveries under some circumstances, such as the prediction of positron, a direct outcome of the Dirac ...
Lingling Song +3 more
semanticscholar +1 more source