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Explore the fundamental role of symmetries in physics through this graduate-level course, delving into Lie algebras and their essential representation theory. Designed specifically for physicists, it provides a comprehensive understanding of mathematical tools crucial for advanced topics in quantum mechanics, particle physics, and general relativity, bridging abstract concepts with practical applications.

Explore the intricate connections between torsors over reductive group schemes and the theoretical framework of extended affine Lie algebras. This advanced mathematical domain delves into concepts central to algebraic geometry and infinite-dimensional Lie algebras, offering deep insights into the structure and representation theory of these fundamental objects.

Delve into the foundational principles of Lie Algebras and their crucial application in Representation Theory with this thoroughly revised and corrected 7th printing. This essential resource offers a clear mathematical introduction to complex algebraic structures, perfect for students and researchers seeking a deep understanding of these advanced group theory concepts.