Representations of Finite Groups

Shintani descent and C functions on Deligne-Lustig varieties, Proceedings of Symposia in pure Mathematics of the AMS, Volume 47 part 1, The Areata Conference on Representations of Finite Groups 1986, 297-320. 

The idea of a group algebra is very powerful and allowed Frobenius to show constructively the entire structure of irreducible matrix representations of finite groups. The theory is outlined by Littlewood[37], who gives references to Frobenius s work. 

The proof of Glauberman s theorem requires Richard Brauer s Second Main Theorem on modular representations of finite groups cf. [5]. A proof of Glauberman s theorem is beyond the scope of this monograph. 

Table 4-6. Symbols for Irreducible Representations of Finite Groups ...

J.-P. Serre, Linear Representations of Finite Groups, Springer, New York, 1977. 

Characters of the Irreducible Representations of Finite Groups From the character table, and summing over all operations we find that... 

Projective representations were first introduced by Shur [32], who developed a general theory of projective representations and worked out methods for constructing projective representations of finite groups. The connection between projective representations of point groups and representations of space group was demonstrated by Lyubarskii, Kovalev, Bir [27,31,33]. To find with the factor qrstem (3.40)... 

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