TENSOR PRODUCT OF BRAUER INDECOMPOSABLE MODULES

<abstract><p>In this paper, we construct all the indecomposable modules of a class of non-pointed Hopf algebras, which are quotient Hopf algebras of a class of prime Hopf algebras of GK-dimension one. Then the decomposition formulas of the tensor product of any two indecomposable modules are established. Based on these results, the representation ring of the Hopf algebras is characterized by generators and some relations.</p></abstract>

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REPRESENTATIONS OF SIMPLE POINTED HOPF ALGEBRAS

Journal of Algebra and Its Applications ◽

10.1142/s021949880400071x ◽

2004 ◽

Vol 03 (01) ◽

pp. 91-104 ◽

Cited By ~ 7

Author(s):

SHILIN YANG

Keyword(s):

Hopf Algebra ◽

Tensor Product ◽

Hopf Algebras ◽

Representation Type ◽

Ground Field ◽

Indecomposable Modules ◽

Pointed Hopf Algebras

In this paper, the representation type of a class of pointed Hopf algebras is determined. As an application, all indecomposable modules of a simple-pointed Hopf algebra R(q,α) are classified. The Clebsch–Gordan-like formula for the decomposition of the tensor product, taken on the ground field, of two indecomposable modules of R(q,α) is obtained.

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Highest-weight vectors in tensor products of Verma modules for U_q(sl_2)

Boletim da Sociedade Paranaense de Matemática ◽

10.5269/bspm.v36i4.34628 ◽

2018 ◽

Vol 36 (4) ◽

pp. 107-119 ◽

Cited By ~ 1

Author(s):

Elizabeth Creath ◽

Dijana Jakelic

Keyword(s):

Tensor Product ◽

Tensor Products ◽

Alternative Proof ◽

Verma Modules ◽

Direct Sums ◽

Indecomposable Modules ◽

Enveloping Algebra ◽

Highest Weight ◽

Structure Constants ◽

Quantized Universal Enveloping Algebra

We obtain an explicit basis for the subspace spanned by highest-weight vectors in a tensor product of two highest-weight modules for the quantized universal enveloping algebra of sl_2. The structure constants provide a generalization of the Clebsh-Gordan coefficients. As a byproduct, we give an alternative proof for the decomposition of these tensor products as direct sums of indecomposable modules and supply generators for all highest weight summands.

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Reference Signal Based Tensor Product Expansion for EOG-Related Artifact Separation in EEG

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e100.a.2230 ◽

2017 ◽

Vol E100.A (11) ◽

pp. 2230-2237

Author(s):

Akitoshi ITAI ◽

Arao FUNASE ◽

Andrzej CICHOCKI ◽

Hiroshi YASUKAWA

Keyword(s):

Tensor Product ◽

Reference Signal

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On degeneracy problem of NFSRs via semi-tensor product

2020 39th Chinese Control Conference (CCC) ◽

10.23919/ccc50068.2020.9189105 ◽

2020 ◽

Author(s):

Xinyu Zhao ◽

Biao Wang ◽

Shuqian Zhu ◽

Jun-e Feng

Keyword(s):

Tensor Product ◽

Degeneracy Problem

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On the Buchstaber Subring in MSp∗

Georgian Mathematical Journal ◽

10.1515/gmj.1998.401 ◽

1998 ◽

Vol 5 (5) ◽

pp. 401-414

Author(s):

M. Bakuradze

Keyword(s):

Tensor Product ◽

Characteristic Classes ◽

Generalized Quaternion ◽

Symplectic Cobordisms

Abstract A formula is given to calculate the last n number of symplectic characteristic classes of the tensor product of the vector Spin(3)- and Sp(n)-bundles through its first 2n number of characteristic classes and through characteristic classes of Sp(n)-bundle. An application of this formula is given in symplectic cobordisms and in rings of symplectic cobordisms of generalized quaternion groups.

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Fractal Frames of Functions on the Rectangle

Fractal and Fractional ◽

10.3390/fractalfract5020042 ◽

2021 ◽

Vol 5 (2) ◽

pp. 42

Author(s):

María A. Navascués ◽

Ram Mohapatra ◽

Md. Nasim Akhtar

Keyword(s):

Tensor Product ◽

Product Space ◽

Integrable Function ◽

Two Dimensional ◽

Tensor Product Space ◽

Fractal Functions

In this paper, we define fractal bases and fractal frames of L2(I×J), where I and J are real compact intervals, in order to approximate two-dimensional square-integrable maps whose domain is a rectangle, using the identification of L2(I×J) with the tensor product space L2(I)⨂L2(J). First, we recall the procedure of constructing a fractal perturbation of a continuous or integrable function. Then, we define fractal frames and bases of L2(I×J) composed of product of such fractal functions. We also obtain weaker families as Bessel, Riesz and Schauder sequences for the same space. Additionally, we study some properties of the tensor product of the fractal operators associated with the maps corresponding to each variable.

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