Results 51 to 60 of about 411,441 (337)
Representations of quantum bicrossproduct algebras [PDF]
Journal of Physics A: Mathematical and General, 2002 We present a method to construct induced representations of quantum algebras having the structure of bicrossproduct. We apply this procedure to some quantum kinematical algebras in (1+1)--dimensions with this kind of structure: null-plane quantum Poincare algebra, non-standard quantum Galilei algebra and quantum kappa Galilei algebra.
Arratia, Oscar, del Olmo, Mariano A.
openaire +3 more sources
Higher Spin Symmetries of the Free Schrödinger Equation
Advances in Mathematical Physics, 2016 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
doaj +1 more source
Set-partition tableaux and representations of diagram algebras [PDF]
, 2019 The partition algebra is an associative algebra with a basis of set-partition diagrams and multiplication given by diagram concatenation. It contains as subalgebras a large class of diagram algebras including the Brauer, planar partition, rook monoid ...
Halverson, Tom, Jacobson, Theodore N.
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The Quantum Symmetry in Nonbalanced Hopf Spin Models Determined by a Normal Coideal Subalgebra
Journal of Mathematics, 2021 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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New twisted quantum current algebras [PDF]
, 1998 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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Algebras of invariant differential operators on a class of multiplicity free spaces [PDF]
, 2009 Let G be a connected reductive algebraic group and let G'=[G,G] be its derived subgroup. Let (G,V) be a multiplicity free representation with a one dimensional quotient (see definition below).
Rubenthaler, Hubert
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6A-Algebra and its representations [PDF]
Journal of Algebra, 2019 In this paper, we study the structure and representation of a $6A$-algebra which is a vertex operator algebra generated by two Ising vectors $e,f$ with inner product $\left\langle e,f\right\rangle =\frac{5}{2^{10}}.$ In particular, we prove the uniqueness of the vertex operator algebra structure of this 6A-algebra, classify the irreducible modules, and
Dong, Chongying, Jiao, Xiangyu, Yu, Nina
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International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley +1 more source
Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups
, 2013 The phase space given by the cotangent bundle of a Lie group appears in the context of several models for physical systems. A representation for the quantum system in terms of non-commutative functions on the (dual) Lie algebra, and a generalized notion ...
Guedes, Carlos +2 more
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Cyclic representations of the periodic Temperley Lieb algebra, complex Virasoro representations and stochastic processes [PDF]
, 2014 An $N$ ${L} \choose {L/2}$-dimensional representation of the periodic Temperley-Lieb algebra $TL_L(x)$ is presented. It is also a representation of the cyclic group $Z_N$.
Alcaraz, Francisco C. +2 more
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