Regular representations of semisimple algebras, separable field extensions, group characters, generalized circulants, and generalized cyclic codes
نویسندگان
چکیده
منابع مشابه
Posets, Weyl Characters, and Representations of Semisimple Lie Algebras
This work-in-progress is intended as an exposition of the background material, results, and open problems of a particular poset theoretic study of Weyl characters and semisimple Lie algebra representations begun in the late 1970’s and early 1980’s in the work of Richard P. Stanley and Robert A. Proctor.
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Let L be a finite-dimensional, semisimple Lie algebra over an algebraically closed field k of characteristic 0. Let H be a fixed Cartan subalgebra of L, and Φ be the root system. Fix a base ∆ = {α1, · · · , αl} of Φ. Let Λ denote the set of dominant, integral linear functions on H. Theorem 0.1. There is a one-to-one correspondence Λ ∼ −→ {isomorphism classes of finite-dimensional irreducible L-...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1995
ISSN: 0024-3795
DOI: 10.1016/0024-3795(93)00167-x