Results 1 to 10 of about 16,990 (68)
Primitive Idempotents of Schur Rings [PDF]
, 2014 In this paper, we explore the nature of central idempotents of Schur rings over finite groups. We introduce the concept of a lattice Schur ring and explore properties of these kinds of Schur rings.
Misseldine, Andrew
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Determination of the biquaternion divisors of zero, including the idempotents and nilpotents [PDF]
, 2008 The biquaternion (complexified quaternion) algebra contains idempotents (elements whose square remains unchanged) and nilpotents (elements whose square vanishes). It also contains divisors of zero (elements with vanishing norm).
Alfsmann, Daniel, Sangwine, Stephen J.
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Code algebras, axial algebras and VOAs [PDF]
, 2018 Inspired by code vertex operator algebras (VOAs) and their representation theory, we define code algebras, a new class of commutative non-associative algebras constructed from binary linear codes. Let $C$ be a binary linear code of length $n$.
Castillo-Ramirez, Alonso +2 more
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Decomposition of Singular Matrices into Idempotents [PDF]
, 2013 In this paper we provide concrete constructions of idempotents to represent typical singular matrices over a given ring as a product of idempotents and apply these factorizations for proving our main results.
Alahmadi, Adel +2 more
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Nice connecting paths in connected components of sets of algebraic elements in a Banach algebra [PDF]
, 2016 Generalizing earlier results about the set of idempotents in a Banach algebra, or of self-adjoint idempotents in a $C^*$-algebra, we announce constructions of nice connecting paths in the connected components of the set of elements in a Banach algebra ...
Makai, Jr., E., Zemánek, Jaroslav
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Idempotents of Clifford Algebras
, 2003 A classification of idempotents in Clifford algebras C(p,q) is presented. It is shown that using isomorphisms between Clifford algebras C(p,q) and appropriate matrix rings, it is possible to classify idempotents in any Clifford algebra into continuous ...
Ablamowicz, R. +3 more
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Representation theory of the higher order peak algebras
, 2009 The representation theory (idempotents, quivers, Cartan invariants and Loewy series) of the higher order unital peak algebras is investigated. On the way, we obtain new interpretations and generating functions for the idempotents of descent algebras ...
Novelli, Jean-Christophe +2 more
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Variety of idempotents in nonassociative algebras
, 2018 In this paper, we study the variety of all nonassociative (NA) algebras from the idempotent point of view. We are interested, in particular, in the spectral properties of idempotents when algebra is generic, i.e. idempotents are in general position.
A Matsuo +14 more
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Idempotents and structures of rings
, 2016 We study a ring containing a complete set of orthogonal idempotents as a generalized matrix ring via its Peirce decomposition. We focus on the case where some of the underlying bimodule homomorphisms are zero.
Anh, P. N. +2 more
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Flows on rooted trees and the Narayana idempotents [PDF]
, 2012 Several generating series for flows on rooted trees are introduced, as elements in the group of series associated with the Pre-Lie operad. By combinatorial arguments, one proves identities that characterise these series.
Chapoton, Frédéric
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