期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1998
卷号：95
期号：15
页码：8441-8442
DOI：10.1073/pnas.95.15.8441
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：Let B be a reductive Lie subalgebra of a semi-simple Lie algebra F of the same rank both over the complex numbers. To each finite dimensional irreducible representation V{lambda} of F we assign a multiplet of irreducible representations of B with m elements in each multiplet, where m is the index of the Weyl group of B in the Weyl group of F. We obtain a generalization of the Weyl character formula; our formula gives the character of V{lambda} as a quotient whose numerator is an alternating sum of the characters in the multiplet associated to V{lambda} and whose denominator is an alternating sum of the characters of the multiplet associated to the trivial representation of F.
