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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…
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Related topics
Related topics
4 relations
Divided power structure
Monomial
Oscillator representation
Polynomial ring
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2011
2011
Conditioning and preconditioning of the variational data assimilation problem
S. Haben
,
A. Lawless
,
N. Nichols
2011
Corpus ID: 122758919
Highly Cited
2010
Highly Cited
2010
Tilting-Connected Symmetric Algebras
T. Aihara
2010
Corpus ID: 115152559
The notion of silting mutation was introduced by Iyama and the author. In this paper we mainly study silting mutation for self…
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Highly Cited
2010
Highly Cited
2010
PBW filtration and bases for irreducible modules in type An
E. Feigin
,
G. Fourier
,
P. Littelmann
2010
Corpus ID: 56037731
We study the PBW filtration on the highest weight representations V(λ) of $$ \mathfrak{s}{\mathfrak{l}_{n + 1}} $$. This…
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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…
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Highly Cited
2007
Highly Cited
2007
A Primer of Hopf Algebras
P. Cartier
2007
Corpus ID: 16347406
• 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…
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Review
2001
Review
2001
Power system state estimation: modeling error effects and impact on system operation
A. Meliopoulos
,
B. Fardanesh
,
S. Zelingher
Proceedings of the 34th Annual Hawaii…
2001
Corpus ID: 7217733
State estimation has been introduced to power systems and implemented in the 60s, using a single frequency, balanced and…
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Highly Cited
1999
Highly Cited
1999
The universal Lie algebra
P. Vogel
1999
Corpus ID: 17677047
A device for teaching different basic skills of physical coordination, particularly of locomotion, including a frame supported…
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Highly Cited
1997
Highly Cited
1997
An algorithm for computing invariants of differential Galois groups
M. V. Hoeij
,
Jacques-Arthur Weil
1997
Corpus ID: 15587906
Highly Cited
1995
Highly Cited
1995
Algebra extensions and nonsingularity
J. Cuntz
,
D. Quillen
1995
Corpus ID: 11670203
This paper is concerned with a notion of nonsingularity for noncommutative algebras, which arises naturally in connection with…
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Highly Cited
1973
Highly Cited
1973
On the Chern-Weil homomorphism and the continuous cohomology of Lie-groups
R. Bott
1973
Corpus ID: 55302378
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