This publication presents a therapy of the idea of quantum teams (quantized common enveloping algebras and quantized algebras of capabilities) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. the speculation of the best and most crucial quantum teams and their representations is gifted intimately. a couple of themes and effects from the extra complicated common idea are constructed and mentioned. Many purposes in mathematical and theoretical physics are indicated. The publication starts off as an advent for the newbie and maintains at a textbook point for graduate scholars in physics and in arithmetic. it might function a reference for extra complicated readers.
Read Online or Download Quantum Groups and Their Representations (Theoretical and Mathematical Physics) PDF
Similar Abstract books
Summary Algebra with a Concrete creation
With company foundations courting basically from the Fifties, algebraic topology is a comparatively younger quarter of arithmetic. There are only a few textbooks that deal with primary subject matters past a primary direction, and lots of themes now necessary to the sphere are usually not handled in any textbook. J. Peter May’s A Concise direction in Algebraic Topology addresses the traditional first path fabric, resembling basic teams, overlaying areas, the fundamentals of homotopy conception, and homology and cohomology.
This can be a translation from the japanese of the second one quantity (chapters 4 via six) of my publication "Gunron" (Iwanami Shoten, 1978). After discussing the concept that of commutators within the fourth bankruptcy, we tum to a dialogue of the tools and theorems concerning finite teams. The final bankruptcy is meant as an creation to the new growth within the concept of straightforward teams.
This exact textbook offers loads of fabric on ordered units now not formerly released within the nonetheless relatively constrained textbook literature. it's going to be appropriate as a textual content for a direction on order thought.
Additional info for Quantum Groups and Their Representations (Theoretical and Mathematical Physics)