Results 21 to 30 of about 12,502 (286)
Gluing affine Yangians with bi-fundamentals
The affine Yangian of gl 1 $$ {\mathfrak{gl}}_1 $$ is isomorphic to the universal enveloping algebra of W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ and can serve as a building block in the construction of new vertex operator algebras. In [1], a two-parameter
Wei Li
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Aiding Dictionary Learning Through Multi-Parametric Sparse Representation
The ℓ 1 relaxations of the sparse and cosparse representation problems which appear in the dictionary learning procedure are usually solved repeatedly (varying only the parameter vector), thus making them well-suited to a multi-parametric ...
Florin Stoican, Paul Irofti
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Representations of quantum affine algebras
In this paper we define a quantum version of the ``fusion'' tensor product of two representations of an affine Kac-Moody algebra.It is replaced by what we call fusion action of the category of finite-dimensional representations of quantum affine algebra on its highest weight representations.
Kazhdan, D., Soibelman, Y.
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Semisimple representations and affine rings [PDF]
If all finite-dimensional representations of an affine algebra are semisimple, then there are only finitely many representations of each degree.
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Noncomplete affine structures on Lie algebras of maximal class
Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
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Representations of quantum affine superalgebras [PDF]
published version with minor ...
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Representations of double affine lie algebras [PDF]
We study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their irreducible quotients. We also give a condition for the indecomposable modules to be irreducible, this is analogous to a result in the representation theory of quantum affine
Chari, Vyjayanthi, Le, Thang
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Affine Tensor Product Model Transformation
This paper introduces the novel concept of Affine Tensor Product (TP) Model and the corresponding model transformation algorithm. Affine TP Model is a unique representation of Linear Parameter Varying systems with advantageous properties that makes it ...
József Kuti, Péter Galambos
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Optimal control of stochastic singular affine systems with Markovian jumps
We consider an optimal control problem for a class of stochastic singular affine systems with Markovian jumps. We establish the existence and uniqueness of the solution to stochastic singular affine systems with Markovian jumps for the first time.
Xin Wang, Lisha Wang, Yuxiang Liu
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Representations of affine Nappi–Witten algebras
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Bao, Yixin, Jiang, Cuipo, Pei, Yufeng
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