《有限裙的线性表示》是一部非常经典的介绍有限裙线性表示的教程,原版曾多次修订重印,作者是当今突出的数学家之一,他对理论数学有全面的了解,尤以著述清晰、明了闻名。《有限裙的线性表示》是他写的为数不多的教科书之一,原文是法文(1971年版),后出了德译本和英译本。《有限裙的线性表示》是英译本的重印本。它篇幅不大,但深入浅出的介绍了有限裙的线性表示,并给出了在量子化学等方面的应用,便于广大数学、物理、化学工作者初学时阅读和参考。
Part
RepresentationsandCharacters
1Generalitiesonlinearrepresentations
1.1Definitions
1.2Basicexamples
1.3Submpmsentations
1.4Irreduciblerepresentations
1.5Tensorproductoftworepresentations
1.6Symmetricsquareandalternatingsquare
2Charactertheory
2.1Thecharacterofarepresentation
2.2Schurslemma;basicapplications
2.30rthogonalityrelationsforcharacters
2.4Depositionoftheregularrepresentation
2.5Numberofirreduciblerepresentations
2.6Canonicaldepositionofarepresentation
2.7Explicitdepositionofarepresentation
3Subgroups,products,inducedrepresentations
3.1Abeliansubgroups
3.2Productoftwogroups
3.3Inducedrepresentations
4Compactgroups
4.1Compactgroups
4.2lnvariantmeasureonapactgroup
4.3Linearrepresentationsofpactgroups
5Examples
5.1ThecyclicGroup
5.2Thegroup
5.3Thedihedralgroup
5.4Thegroup
5.5Thegroup
5.6Thegroup
5.7Thealternatinggroup
5.8Thesymmetricgroup
5.9The...