Symmetric algebra

Known as: Symmetric power, Symmetric square 
In mathematics, the symmetric algebra S(V) (also denoted Sym(V)) on a vector space V over a field K is the free commutative unital associative… (More)
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Related topics

Related topics

4 relations
Divided power structureMonomialOscillator representationPolynomial ring

Papers overview

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2011
2011
Hochschild cohomology of group extensions of quantum symmetric algebras
Quantum symmetric algebras (or noncommutative polynomial rings) arise in many places in mathematics. In this article we find the… (More)
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Highly Cited
2011
Highly Cited
2011
Feasibility of interference alignment for the MIMO interference channel: The symmetric square case
Determining the feasibility conditions for vector space interference alignment in the K-user MIMO interference channel with… (More)
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2009
2009
Torsion of the symmetric algebra and implicitization
Recently, a method to compute the implicit equation of a parame-trized hypersurface has been developed by the authors. We address… (More)
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2009
Highly Cited
2009
The ensemble Kalman filter for combined state and parameter estimation
This article provides a fundamental theoretical basis for understanding EnKF and serves as a useful text for future users. Data… (More)
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2008
2008
Projective-injective modules, Serre functors and symmetric algebras
We describe Serre functors for (generalisations of) the category O associated with a semi-simple complex Lie algebra. In our… (More)
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2006
2006
On the depth and regularity of the symmetric algebra.
  • Jürgen Herzog, Gaetana Restuccia, Giancarlo Rinaldo
  • 2006
Let (R,m) be a standard graded K-algebra whose defining ideal is componentwise linear. Using Gröbner basis techniques, bounds for… (More)
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2001
2001
s-Sequences and symmetric algebras
In this paper we introduce the concept of s-sequences in order to study the symmetric algebra of a module. It is explained how s… (More)
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1999
1999
LEFT-SYMMETRIC ALGEBRAS FOR GL(N)
We study the classification problem for left-symmetric algebras with commutation Lie algebra gl(n) in characteristic 0. The… (More)
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1995
Highly Cited
1995
Algebra extensions and nonsingularity
This paper is concerned with a notion of nonsingularity for noncommutative algebras, which arises naturally in connection with… (More)
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1986
1986
ON THE DEPTH OF THE SYMMETRIC ALGEBRA
Let (R,m) be a local ring. Assume that R = A/I, where (A,n) is a regular local ring and / ç n2 is an ideal. The depth of the… (More)
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