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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… Expand
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Related topics

Related topics

4 relations
Divided power structureMonomialOscillator representationPolynomial ring

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)
We establish the Sato-Tate equidistribution of Hecke eigenvalues on average for families of Hecke--Maass cusp forms on SL(n,R)/SO… Expand
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2011
2011
Conditioning and preconditioning of the variational data assimilation problem
Numerical weather prediction (NWP) centres use numerical models of the atmospheric flow to forecast future weather states from an… Expand
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Highly Cited
2009
Highly Cited
2009
The ensemble Kalman filter for combined state and parameter estimation
  • G. Evensen
  • IEEE Control Systems
  • 2009
    • Corpus ID: 40782747
This article provides a fundamental theoretical basis for understanding EnKF and serves as a useful text for future users. Data… Expand
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Highly Cited
2007
Highly Cited
2007
A Primer of Hopf Algebras
• Page 9, §2.1: Here, Cartier claims that “by invariant theory, Ωp for p > 2n is decomposable as a product of forms of degree≤ 2n… Expand
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Highly Cited
2007
Highly Cited
2007
A unified algebraic approach to the classical Yang-Baxter equation
In this paper, the different operator forms of the classical Yang–Baxter equation are given in the tensor expression through a… Expand
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Highly Cited
2006
Highly Cited
2006
Integrating L∞-algebras
all of them of degree −1. The symmetric powers should be interpreted in the graded sense: for example the bracket [ , ] restricts… Expand
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Highly Cited
2003
Highly Cited
2003
Combinatorics of rooted trees and Hopf algebras
We begin by considering the graded vector space with a basis consisting of rooted trees, with grading given by the count of non… Expand
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Highly Cited
1998
Highly Cited
1998
A classification of multiplicity free representations.
Let G be a connected reductive linear algebraic group over C and let (; V ) be a regular representation of G. There is a locally… Expand
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Highly Cited
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… Expand
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Highly Cited
1990
Highly Cited
1990
The Betti numbers of the Hilbert scheme of points on a smooth projective surface
A device facilitates the saddling of a horse and makes it more flexible insofar as the fastening between the rigging ring… Expand
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