Schur and Weyl functors
نویسندگان
چکیده
منابع مشابه
Schur functors and motives
In [Kim], Kimura introduced the notion of a “finite dimensional” motive (which we will refer to as “Kimura-finite” motive) and he conjectured that all Q-linear motives modulo rational equivalence are Kimura-finite. The same notion was introduced independently in a different context by O’Sullivan. Kimura-finiteness has been the subject of several articles recently ([GP02], [GP], [AK02]). In [GP]...
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In this paper we study Schur-Weyl duality between the symplectic group and Brauer’s centralizer algebra over an arbitrary infinite field K. We show that the natural homomorphism from the Brauer’s centralizer algebra Bn(−2m) to the endomorphism algebra of tensor space (K) as a module over the symplectic similitude group GSp2m(K) (or equivalently, as a module over the symplectic group Sp2m(K)) is...
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Introduction 1 1. Representation Theory of Finite Groups 2 1.1. Preliminaries 2 1.2. Group Algebra 4 1.3. Character Theory 5 2. Irreducible Representations of the Symmetric Group 8 2.1. Specht Modules 8 2.2. Dimension Formulas 11 2.3. The RSK-Correspondence 12 3. Schur-Weyl Duality 13 3.1. Representations of Lie Groups and Lie Algebras 13 3.2. Schur-Weyl Duality for GL(V ) 15 3.3. Schur Functor...
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In this paper we prove the Schur-Weyl duality between the symplectic group and the Brauer algebra over an arbitrary infinite field K. We show that the natural homomorphism from the Brauer algebra Bn(−2m) to the endomorphism algebra of the tensor space (K2m)⊗n as a module over the symplectic similitude group GSp2m(K) (or equivalently, as a module over the symplectic group Sp2m(K)) is always surj...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1991
ISSN: 0001-8708
DOI: 10.1016/0001-8708(91)90020-8