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TENSOR PRODUCTS
"... Let R be a commutative ring and M and N be Rmodules. Formation of their direct sum M ⊕ N is an addition operation on modules. We introduce now a product operation, called the tensor product M ⊗R N. To start off, we will describe roughly what a tensor product of modules looks like. The rigorous defi ..."
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Let R be a commutative ring and M and N be Rmodules. Formation of their direct sum M ⊕ N is an addition operation on modules. We introduce now a product operation, called the tensor product M ⊗R N. To start off, we will describe roughly what a tensor product of modules looks like. The rigorous
Nonlinear Tensor Product Approximation of Functions
"... Nonlinear tensor product approximation of ..."
and their tensor products
"... 1.1 De nitions.......................... 4 1.1.1 Lie Algebra..................... 4 1.1.2 Universal enveloping algebra............ 7 ..."
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1.1 De nitions.......................... 4 1.1.1 Lie Algebra..................... 4 1.1.2 Universal enveloping algebra............ 7
TENSOR PRODUCTS OF OPERATOR SYSTEMS
"... Abstract. The purpose of the present paper is to study tensor products of operator systems. After giving an axiomatic definition of tensor products in this category, we examine in detail several particular examples of tensor products, including a minimal, maximal, maximal commuting, maximal inject ..."
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Cited by 13 (6 self)
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Abstract. The purpose of the present paper is to study tensor products of operator systems. After giving an axiomatic definition of tensor products in this category, we examine in detail several particular examples of tensor products, including a minimal, maximal, maximal commuting, maximal
DERIVATIONS OF TENSOR PRODUCT OF ALGEBRAS
, 2005
"... We prove a theorem about the derivation algebra of the tensor product of two algebras. As an application, we determine the derivation algebra of the fixed point algebra of the tensor product of two algebras, with respect to the tensor product of two finite order automorphisms of the involved algebr ..."
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We prove a theorem about the derivation algebra of the tensor product of two algebras. As an application, we determine the derivation algebra of the fixed point algebra of the tensor product of two algebras, with respect to the tensor product of two finite order automorphisms of the involved
ON TENSOR PRODUCTS OF OPERATOR MODULES
, 2004
"... The injective tensor product of normal representable bimodules over von Neumann algebras is shown to be normal. The usual Banach module projective tensor product of central representable bimodules over an Abelian C∗algebra is shown to be representable. A normal version of the projective tensor pro ..."
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The injective tensor product of normal representable bimodules over von Neumann algebras is shown to be normal. The usual Banach module projective tensor product of central representable bimodules over an Abelian C∗algebra is shown to be representable. A normal version of the projective tensor
COHOMOLOGY OF TWISTED TENSOR PRODUCTS
"... Abstract. It is well known that the cohomology of a tensor product is essentially the tensor product of the cohomologies. We look at twisted tensor products, and investigate to which extent this is still true. We give an explicit description of the Extalgebra of the tensor product of two modules, a ..."
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Abstract. It is well known that the cohomology of a tensor product is essentially the tensor product of the cohomologies. We look at twisted tensor products, and investigate to which extent this is still true. We give an explicit description of the Extalgebra of the tensor product of two modules
Quiver varieties and tensor products
 INVENT. MATH
, 2001
"... In this article, we give geometric constructions of tensor products in various categories using quiver varieties. More precisely, we introduce a lagrangian subvariety ˜ Z in a quiver variety, and show the following results: (1) The homology group of ˜ Z is a representation of a symmetric KacMoody ..."
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Cited by 34 (1 self)
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In this article, we give geometric constructions of tensor products in various categories using quiver varieties. More precisely, we introduce a lagrangian subvariety ˜ Z in a quiver variety, and show the following results: (1) The homology group of ˜ Z is a representation of a symmetric Kac
Polynomial Splines and Their Tensor Products in Extended Linear Modeling
 Ann. Statist
, 1997
"... ANOVA type models are considered for a regression function or for the logarithm of a probability function, conditional probability function, density function, conditional density function, hazard function, conditional hazard function, or spectral density function. Polynomial splines are used to m ..."
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Cited by 221 (16 self)
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to model the main effects, and their tensor products are used to model any interaction components that are included. In the special context of survival analysis, the baseline hazard function is modeled and nonproportionality is allowed. In general, the theory involves the L 2 rate of convergence
Tensor Product of Massey Products
"... Abstract In this paper, we interpret Massey products in terms of realizations (twitsting cochains) of certain differential graded coalgebras with values in differential graded algebras. In the case where the target algebra is the cobar construction of a differential graded commutative Hopf algebra, ..."
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, we construct the tensor product of realizations and show that the tensor product is strictly associative, and commutative up to homotopy.
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