Results 1 to 10 of about 59,230 (210)
Journal of Algebra, 1998 The algebra generated by the down and up operators on a differential partially ordered set (poset) encodes essential enumerative and structural properties of the poset. Motivated by the algebras generated by the down and up operators on posets, we introduce here a family of infinite-dimensional associative algebras called down-up algebras. We show that
Benkart, Georgia, Roby, Tom
exaly +15 more sources
Classification of factorial generalized down-up algebras [PDF]
Journal of Algebra, 2012 We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noetherian unique factorisation ...
Launois, Stéphane, Lopes, Samuel A.
core +4 more sources
p-Brane superalgebras via integrability
Nuclear Physics B, 2018 It has long been appreciated that superalgebras with bosonic and fermionic generators additional to those in the super-Poincare algebra underlie p-brane and D-brane actions in superstring theory.
D.T. Grasso, I.N. McArthur
doaj +4 more sources
Isomorphisms of Nonnoetherian Down-Up Algebras [PDF]
Algebras and Representation Theory, 2017 10 ...
Sergio Chouhy, Andrea Solotar
openaire +6 more sources
INJECTIVE MODULES OVER DOWN-UP ALGEBRAS [PDF]
Glasgow Mathematical Journal, 2010 AbstractThe purpose of this paper is to study finiteness conditions on injective hulls of simple modules over Noetherian down-up algebras. We will show that the Noetherian down-up algebras A(α, β, γ) which are fully bounded are precisely those which are module-finite over a central subalgebra.
Carvalho, Paula A.A.B. +2 more
openaire +4 more sources
Noetherian down-up algebras [PDF]
Proceedings of the American Mathematical Society, 1999 Down-up algebras A = A ( α , β , γ ) A= A(\alpha ,\beta ,\gamma ) were introduced by G. Benkart and T. Roby to better understand the structure of certain posets. In this paper, we prove that β ≠ 0 \beta \neq 0 is equivalent to
Kirkman, Ellen +2 more
openaire +1 more source
Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics [PDF]
, 2013 We study fermionic fields localized on topologically unstable domain walls bounded by strings in a grand unified theory theoretical framework. Particularly, we found that the localized fermionic degrees of freedom, which are up and down quarks as long as
Oikonomou, V. K.
core +1 more source
Skew Derivations on Down-up Algebras [PDF]
, 2019 7 pages; contribution to the Proceedings of the XXXVI Workshop on Geometric Methods in Physics, Bialowieza ...
Almulhem, Munerah, Brzeziński, Tomasz
openaire +2 more sources
Augmented down-up algebras and uniform posets
Ars Mathematica Contemporanea, 2013 Motivated by the structure of the uniform posets we introduce the notion of an augmented down-up (or ADU) algebra. We discuss how ADU algebras are related to the down-up algebras defined by Benkart and Roby. For each ADU algebra we give two presentations by generators and relations. We also display a $Z$-grading and a linear basis.
Terwilliger, Paul +1 more
openaire +6 more sources
Stable rank of down-up algebras [PDF]
Journal of Algebra, 2019 We investigate the behavior of finitely generated projective modules over a down-up algebra. Specifically, we show that every noetherian down-up algebra $A( , , )$ has a non-free, stably free right ideal. Further, we compute the stable rank of these algebras using Stafford's Stable Range Theorem and Kmax dimension.
Gallego, Claudia, Solotar, Andrea Leonor
openaire +3 more sources