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Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces
Let X be an irreducible Hermitian symmetric space of compact type (IHSS for short). In this paper, we give the irreducible decomposition of Sym r T X ....
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Nonsolvable Groups with Three Nonlinear Irreducible Character Codegrees
For an irreducible character χ of a finite group G , the codegree of χ is defined as ∣ G : ker( χ )∣/ χ (1). In this paper, the authors determine finite...
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Singularities Equivariantly Simple with Respect to Irreducible Representations
AbstractThere are many papers on the classification of singularities that are invariant or equivariant under the action of a finite group. However,...
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Strongly sum 2-irreducible submodules of a module
Let R be a commutative ring with identity and M be an R -module. A non-zero submodule N of M is said to be a sum 2-irreducible submodule if whenever
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Degrees and fields of values of irreducible characters
We completely describe all the possible fields of values of irreducible characters of degree up to 3 of finite groups. The obtained result points...
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Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups
We study the rational irreducible representations of simple algebraic groups in which some non-central semisimple element has at most one eigenvalue...
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Module Categories of Small Radical Nilpotency
This paper aims to initiate a study of the representation theory of representation-finite artin algebras in terms of the nilpotency of the radical of...
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Irreducible Representations of GLn(ℂ) of Minimal Gelfand–Kirillov Dimension
In this article, by studying the Bernstein degrees and Goldie rank polynomials, we establish a comparison between the irreducible representations of G ...
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Lower bound for the number of conjugacy classes and irreducible characters
In this paper, we give a lower bound for the class number of the semidirect product of an odd-order group acting coprimely on an abelian p -group. For...
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Primitive irreducible representations of finitely generated nilpotent groups
We show that any irreducible representation of a finitely generated nilpotent group G over a finitely generated field F of characteristic zero is...
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The Kauffman Bracket Skein Module
Kauffman bracket skein modules occupy a special place in the panorama of skein modules, standing out as tall mountains in a lush mathematical...
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ALMOST CYCLIC REGULAR SEMISIMPLE ELEMENTS IN IRREDUCIBLE REPRESENTATIONS OF SIMPLE ALGEBRAIC GROUPS
Let G be a simple linear algebraic group defined over an algebraically closed field of characteristic p ≥ 0 and let ϕ be a nontrivial p -restricted...
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Irreducible representations of Hopf algebras over dihedral groups
We calculate all irreducible representations over a subfamily of pointed Hopf algebras with group-likes the dihedral group analyzing the possible...
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The Irreducible Representations of S n: Young Symmetrizers
The Irreducible Representations of Sn: Young Symmetrizers introduces Young tableaux, an important tool in the theory of the symmetric group, and...