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- W1488931906 abstract "Let $nge 1$ be an integer and let $B_{n}$ denote the hyperoctahedral group of rank $n$. The group $B_{n}$ acts on the polynomial ring $Q[x_{1},dots,x_{n},y_{1},dots,y_{n}]$ by signed permutations simultaneously on both of the sets of variables $x_{1},dots,x_{n}$ and $y_{1},dots,y_{n}.$ The invariant ring $M^{B_{n}}:=Q[x_{1},dots,x_{n},y_{1},dots,y_{n}]^{B_{n}}$ is the ring of diagonally signed-symmetric polynomials. In this article, we provide an explicit free basis of $M^{B_{n}}$ as a module over the ring of symmetric polynomials on both of the sets of variables $x_{1}^{2},dots, x^{2}_{n}$ and $y_{1}^{2},dots, y^{2}_{n}$ using signed descent monomials." @default.
- W1488931906 created "2016-06-24" @default.
- W1488931906 creator A5027944971 @default.
- W1488931906 date "2013-12-20" @default.
- W1488931906 modified "2023-09-30" @default.
- W1488931906 title "A Basis for the Diagonally Signed-Symmetric Polynomials" @default.
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- W1488931906 doi "https://doi.org/10.37236/3224" @default.
- W1488931906 hasPublicationYear "2013" @default.
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