منابع مشابه
Monomial Irreducible sln-Modules
In this article, we introduce monomial irreducible representations of the special linear Lie algebra $sln$. We will show that this kind of representations have bases for which the action of the Chevalley generators of the Lie algebra on the basis elements can be given by a simple formula.
متن کاملmonomial irreducible sln-modules
in this article, we introduce monomial irreducible representations of the special linear lie algebra $sln$. we will show that this kind of representations have bases for which the action of the chevalley generators of the lie algebra on the basis elements can be given by a simple formula.
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In the representation theory of nite groups it is useful to know which ordinary irreducible representations remain irreducible modulo a prime p. For the symmetric groups S n this amounts to determining which Specht modules are irreducible over a eld of characteristic p. Throughout this note we work in characteristic 2, and in this case we classify the irreducible Specht modules, thereby verifyi...
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A complete description of the Alexander modules of knotted n-manifolds in the sphere S n+2 , n ≥ 2, and irreducible Hurwitz curves is given. This description is applied to investigate properties of the first homology groups of cyclic coverings of the sphere S n+2 and the projective complex plane CP 2 branched respectively alone knotted n-manifolds and along irreducible Hurwitz (in particular, a...
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In this paper we consider several different methods to produce spanning sets for irreducible polynomial representations of GL(n,K) for an infinite field K, and we show how these spanning sets are related. The irreducible polynomial representations of GL(n,K) can be afforded by submodules L(λ) of Schur modules ∇(λ), indexed by partitions λ of positive integers r. Each ∇(λ) is a GL(n,K)-submodule...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2016.11.038