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Ruang Fase Tereduksi Grup Lie Aff (1)
ABSTRAK Dalam artikel ini dipelajari ruang fase tereduksi dari suatu grup Lie khususnya untuk grup Lie affine berdimensi 2. Tujuannya adalah untuk mengidentifikasi ruang fase tereduksi dari melalui orbit coadjoint buka di titik tertentu pada ruang ...
Edi Kurniadi
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Uncertainty Modeling and Robust Output Feedback Control of Nonlinear Discrete Systems: A Mathematical Programming Approach [PDF]
We present a mathematical programming approach to robust control of nonlinear systems with uncertain, possibly time-varying, parameters. The uncertain system is given by different local affine parameter dependent models in different parts of the state ...
Olav Slupphaug+2 more
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Since the ( $$\beta $$ β -deformed) Hurwitz Kontsevich model corresponds to the special case of affine Yangian of $${\mathfrak {gl}}(1)$$ gl ( 1 ) . In this paper, we construct two general cases of the $$\beta $$ β -deformed Hurwitz Kontsevich model.
Wang Na, Wu Ke
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McKay Centralizer Algebras [PDF]
For a finite subgroup G of the special unitary group SU2, we study the centralizer algebra Zk(G) = EndG(V⊗k) of G acting on the k-fold tensor product of its defining representation V = C2.
Georgia Benkart, Tom Halverson
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Cocenters and representations of affine Hecke algebras [PDF]
In this paper, we study the relationship between the cocenter and the representation theory of affine Hecke algebras. The approach is based on the interaction between the rigid cocenter, an important subspace of the cocenter, and the dual object in representation theory, the rigid quotient of the Grothendieck group of finite-dimensional representations.
Ciubotaru, Dan, He, Xuhua
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Representations of quantum affine superalgebras [PDF]
published version with minor ...
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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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Delving Deep into Interpreting Neural Nets with Piece-Wise Affine Representation
Deep convolutional neural networks (CNNs) are now ubiquitous in computer vision problems. However, these models usually describe very complicated functions of the input images. For a number of application, it is of utmost importance to be able to explain
Yifu Chen+3 more
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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.
Yan Soibelman, David Kazhdan
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Representations of the elliptic affine Hecke algebras [PDF]
We prove that irreducible representations of the elliptic affine Hecke algebras of Ginzburg, Kapranov, and Vasserot are in one-to-one correspondence with certain nilpotent Higgs bundles on the elliptic curve. The main tool we use is the equivariant elliptic cohomology of the Steinberg variety of the Springer resolution.
Changlong Zhong, Gufang Zhao
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