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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.
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The PBW Filtration, Demazure Modules and Toroidal Current Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 Let L be the basic (level one vacuum) representation of the affine Kac-Moody Lie algebra ^g. The m-th space F_m of the PBW filtration on L is a linear span of vectors of the form x_1dots x_lv_0, where l ≤ m, x_i in ^g and v_0 is a highest weight vector ...
Evgeny Feigin
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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
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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
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Neutrosophic Vague Binary BCK/BCI-algebra [PDF]
Neutrosophic Sets and Systems, 2020 Ineradicable hindrances of the existing mathematical models widespread from probabilities to soft sets. These difficulties made up way for the opening of “neutrosophic set model’.
Remya. P. B , Francina Shalini. A
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The Measurement of Democracy Indicators in Islamic Republic of Iran (1979-2013) [PDF]
Faṣlnāmah-i Pizhūhish/hā-yi Rāhburdī-i Siyāsat, 2020 The purpose of this article is to survey the historic process of democracy in Iran after Islamic revolution by benefiting from Robert Dahl’s polyarchy model and qualifying his threefold indexes as political participation, political competition and ...
heidar shahriari
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Semiotic Examination of Algebra Teaching Process in the Context of Gestures
Anadolu Üniversitesi Eğitim Fakültesi dergisi, 2023 This research aims to examine the gestures used by teachers and students in the algebra learning-teaching process and the purpose of these signs. The participants of this case study are 25 eigth graders and their mathematics teacher.
Dilek Tanışlı, Şahin Danişman
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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
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Inverse Kinematics for Industrial Robots using Conformal Geometric Algebra [PDF]
Modeling, Identification and Control, 2016 This paper shows how the recently developed formulation of conformal geometric algebra can be used for analytic inverse kinematics of two six-link industrial manipulators with revolute joints.
Adam L. Kleppe, Olav Egeland
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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
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