Generators for the Algebra of Symmetric Polynomials

1993 ◽  
Vol 100 (4) ◽  
pp. 386 ◽  
Author(s):  
D. G. Mead
Keyword(s):  
Symmetric Polynomials

scholarly journals Milne’s volume function and vector symmetric polynomials

2009 ◽  
Vol 44 (5) ◽  
pp. 583-590 ◽  
Author(s):  
Emmanuel Briand ◽  
Mercedes Rosas
Keyword(s):  
Symmetric Polynomials ◽  
Volume Function

scholarly journals A symmetric Bloch–Okounkov theorem

2021 ◽  
Vol 8 (2) ◽  
Author(s):  
Jan-Willem M. van Ittersum
Keyword(s):  
Symmetric Functions ◽  
Graded Algebra ◽  
Symmetric Polynomials ◽  
Generating Series

AbstractThe algebra of so-called shifted symmetric functions on partitions has the property that for all elements a certain generating series, called the q-bracket, is a quasimodular form. More generally, if a graded algebra A of functions on partitions has the property that the q-bracket of every element is a quasimodular form of the same weight, we call A a quasimodular algebra. We introduce a new quasimodular algebra $$\mathcal {T}$$ T consisting of symmetric polynomials in the part sizes and multiplicities.

scholarly journals The Fundamental Theorem on Symmetric Polynomials: History's First Whiff of Galois Theory

2017 ◽  
Vol 48 (1) ◽  
pp. 18-29 ◽  
Author(s):  
Ben Blum-Smith ◽  
Samuel Coskey
Keyword(s):  
Fundamental Theorem ◽  
Galois Theory ◽  
Symmetric Polynomials

scholarly journals Inhomogeneous basis set of symmetric polynomials defined by tableaux.

1990 ◽  
Vol 87 (4) ◽  
pp. 1441-1445 ◽  
Author(s):  
L. C. Biedenharn ◽  
J. D. Louck
Keyword(s):  
Basis Set ◽  
Symmetric Polynomials

Results on rotation symmetric polynomials over GF(p)

2008 ◽  
Vol 178 (1) ◽  
pp. 280-286 ◽  
Author(s):  
Yuan Li
Keyword(s):  
Symmetric Polynomials ◽  
Rotation Symmetric

scholarly journals Symmetric polynomials, generalized Jacobi-Trudi identities andτ-functions

2018 ◽  
Vol 59 (9) ◽  
pp. 091411 ◽  
Author(s):  
J. Harnad ◽  
Eunghyun Lee
Keyword(s):  
Symmetric Polynomials

Symmetric Polynomials

Algebra ◽  
2018 ◽  
pp. 209-220
Author(s):  
John Scherk
Keyword(s):  
Symmetric Polynomials

On Nonnegativity of Symmetric Polynomials

1994 ◽  
Vol 101 (7) ◽  
pp. 661 ◽  
Author(s):  
F. Matus
Keyword(s):  
Symmetric Polynomials
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