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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Papers overview

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2011
2011
Quantum symmetric algebras (or noncommutative polynomial rings) arise in many places in mathematics. In this article we find the… (More)
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2011
Highly Cited
2011
Determining the feasibility conditions for vector space interference alignment in the K-user MIMO interference channel with… (More)
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2009
2009
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
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
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
  • 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
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
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
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
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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