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On the Dimensions of the Irreducible Modules of Lie Algebras of Classical Type

โœ Scribed by Charles W. Curtis

Book ID
125676435
Publisher
American Mathematical Society
Year
1960
Tongue
English
Weight
319 KB
Volume
96
Category
Article
ISSN
0002-9947

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๐Ÿ“œ SIMILAR VOLUMES

Computing dimensions of irreducible repr
Computing dimensions of irreducible representations of simple lie algebras
โœ A.K. Bose ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 273 KB

We present a combinatorial algorithm for computing dimensions of irreducible representations of all nine types of simple Lie algebras over complexes. We implemented it on a programmable desk calculator. In conclusion some physical applications are discussed. ## Various formulas have been given [1-3

Crystals for Demazure Modules of Classic
Crystals for Demazure Modules of Classical Affine Lie Algebras
โœ Atsuo Kuniba; Kailash C. Misra; Masato Okado; Taichiro Takagi; Jun Uchiyama ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 336 KB

We study, in the path realization, crystals for Demazure modules of affine Lie algebras of types A ลฝ1. , B ลฝ1. , C ลฝ1. , D ลฝ1. , A ลฝ2. , A ลฝ2. , and D ลฝ2. . We find a special sequence of affine Weyl group elements for the selected perfect crystal, and show that if the highest weight is lโŒณ , the Dem