Acyclicity of Schur complexes and torsion freeness of Schur modules
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.05.035
Abstract: Abstract Let R be a Noetherian commutative ring and M a R-module with pd R M ≤ 1 that has rank. Necessary and sufficient conditions were provided in [1] for an exterior power ∧ k… read more here.
Keywords: acyclicity; schur modules; torsion; necessary sufficient ... See more keywords
The integral Schur-Weyl-Sergeev duality
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2022.107044
Abstract: Degenerating the quantum queer Schur superalgebra Qq(n, r;R) to the case q = 1, the queer Schur superalgebra Q(n, r) is obtained. In this article, we reconstruct the universal enveloping algebra U(qn) of the queer… read more here.
Keywords: sergeev duality; schur; schur weyl; weyl sergeev ... See more keywords
On the permanents of circulant and degenerate Schur matrices
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DOI: 10.1016/j.laa.2017.01.024
Abstract: Abstract We communicate three formulas for the permanents of degenerate Schur and circulant matrices. These combinatorial and integral formulas are intended for the analytical and asymptotic evaluation of the permanents as well as for the… read more here.
Keywords: circulant degenerate; permanents circulant; schur matrices; degenerate schur ... See more keywords