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On the weak Lefschetz property of graded modules over K[x, y]
Published 2012-05-01Subjects: Get full text
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A new family of positively based algebras $ {\mathcal{H}}_n $
Published 2024-01-01Subjects: Get full text
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A note on the degree bounds of the invariant ring
Published 2024-03-01Subjects: Get full text
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Invariant properties of modules under smash products from finite dimensional algebras
Published 2023-01-01Subjects: Get full text
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Support varieties for selfinjective algebras
Published 2003“…In particular, the complexity of the module equals the dimension of its corresponding variety, all closed homogeneous varieties occur as the variety of some module, the variety of an indecomposable module is connected, periodic modules are lines and for symmetric algebras a generalization of Webb's theorem is true.…”
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Small modules with interesting rank varieties
Published 2023“…In the first part, we give a sufficient condition for a Green vertex of an indecomposable module to contain an elementary abelian p-group E in terms of the rank variety of the module restricted to E. …”
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Highest-weight vectors in tensor products of Verma modules for U_q(sl_2)
Published 2018-10-01“…As a byproduct, we give an alternative proof for the decomposition of these tensor products as direct sums of indecomposable modules and supply generators for all highest weight summands.…”
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Staggered modules of N = 2 superconformal minimal models
Published 2021-06-01“…We investigate a class of reducible yet indecomposable modules over the N=2 superconformal algebras. …”
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On signed p-Kostka matrices
Published 2021“…We show that the signed p-Kostka numbers depend just on p-Kostka numbers and the multiplicities of projective indecomposable modules in certain signed Young permutation modules. …”
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Locally adequate semigroup algebras
Published 2016-01-01“…Finally, for some special cases, we provide a description of the projective indecomposable modules and determine the representation type.…”
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Block components of the Lie module for the symmetric group
Published 2012“…Hence we obtain a formula for the multiplicities of the projective indecomposable modules in a direct sum decomposition of Lie(r) B. …”
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Algebraic modules for finite groups
Published 2007“…The third chapter concerns itself with indecomposable modules for dihedral and elementary abelian groups. …”
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The action of the Virasoro algebra in quantum spin chains. Part I. The non-rational case
Published 2021-02-01“…We find again indecomposable modules, but this time not logarithmic ones. …”
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Solutions of the Yang–Baxter Equation and Automaticity Related to Kronecker Modules
Published 2023-02-01“…This paper proves that some indecomposable modules over <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">K</mi></semantics></math></inline-formula> called pre-injective Kronecker modules give rise to some algebraic structures called skew braces which allow the solutions of the YBE. …”
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