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- W2168205712 abstract "Here we consider two algebras, a free unital associative complex algebra (denoted by ${mathcal{B}}$) equiped with a multiparametric textbf{emph{q}}-differential structure and a twisted group algebra (denoted by ${mathcal{A}(S_{n})}$), with the motivation to represent the algebra ${mathcal{A}(S_{n})}$ on the (generic) weight subpaces of the algebra ${mathcal{B}}$. One of the fundamental problems in ${mathcal{B}}$ is to describe the space of all constants (the elements which are annihilated by all multiparametric partial derivatives). To solve this problem, one needs some special matrices and their factorizations in terms of simpler matrices. A simpler approach is to study first certain canonical elements in the twisted group algebra ${mathcal{A}(S_{n})}$. Then one can use certain natural representation of ${mathcal{A}(S_{n})}$ on the weight subspaces of ${mathcal{B}}$, which are the subject of this paper." @default.
- W2168205712 created "2016-06-24" @default.
- W2168205712 creator A5009615609 @default.
- W2168205712 date "2015-04-08" @default.
- W2168205712 modified "2023-09-27" @default.
- W2168205712 title "A representation of twisted group algebra of symmetric groups on weight subspaces of free associative complex algebra" @default.
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