Elements of the Theory of Representations

The book presents a translator's intricate journey through the mathematical work of Professor Kirillov on group representations. Balancing fidelity to the original Russian text with the need for clarity in English, the translator emphasizes the importance of remaining a faithful mirror rather than a creator. Acknowledging the contributions of collaborators, the translation aims to convey the depth and spirit of the original while correcting minor errors. The translator's hope is that this work will engage and educate the English-speaking mathematical community.