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On the Regular Representations of Algebras [PDF]
Introduction.! As this paper is the expression of my work as a student under Prof. R. Brauer, I wish at the outset to acknowledge my deep indebtedness to my former teacher. For an associative algebra a, having a unit element and lying over a given field K, two regular representations T? and (E are defined.
Richard Brauer, Cecil J. Nesbitt
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Selected Properties of Some Generalizations of BCK Algebras
The notion of a RM algebra, introduced recently, is a generalization of many other algebras of logic. The class of RM algebras contains (weak-)BCC algebras, BCH algebras, BCI algebras, BCK algebras and many others. A RM algebra is an algebra A = (A; →, 1)
Dymek Grzegorz
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The Quantum Symmetry in Nonbalanced Hopf Spin Models Determined by a Normal Coideal Subalgebra
For a finite-dimensional cocommutative semisimple Hopf C∗-algebra H and a normal coideal ∗-subalgebra H1, we define the nonbalanced quantum double DH1;H as the crossed product of H with H1op^, with respect to the left coadjoint representation of the ...
Xin Qiaoling, Cao Tianqing
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Representations of Hecke algebras [PDF]
We find all operators of a certain type that satisfy the braid relations corresponding to any generalized Cartan matrix.
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We shed new light on the standard current algebra approach to the nonleptonic two-body decays of single and double heavy charm baryons. By making use of the completeness relation for the flavor wave functions of the ground state baryon $$\mathbf{20 ...
Stefan Groote, Jürgen G. Körner
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Higher Spin Symmetries of the Free Schrödinger Equation
It is shown that the Schrödinger symmetry algebra of a free particle in d spatial dimensions can be embedded into a representation of the higher spin algebra.
Mauricio Valenzuela
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Using a representation of the q-deformed Lorentz algebra as differential operators on quantum Minkowski space, we define an algebra of observables for a q-deformed relativistic quantum mechanics with spin zero. We construct a Hilbert space representation
B. Drabant+7 more
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Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez+2 more
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New twisted quantum current algebras [PDF]
We introduce a twisted quantum affine algebra associated to each simply laced finite dimensional simple Lie algebra. This new algebra is a Hopf algebra with a Drinfeld-type comultiplication. We obtain this algebra by considering its vertex representation.
Jing, Naihuan
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With the use of two kinds of boson operators, a new boson representation of the su(2)-algebra is proposed. The basic idea comes from the pseudo su(1,1)-algebra recently given by the present authors.
da Providencia, Joao+3 more
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