How Long to Read Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications

How Long Does it Take to Read Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications?

It takes the average reader 10 hours and 27 minutes to read Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications by Alexey P Isaev

Assuming a reading speed of 250 words per minute. Learn more

Description

This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.The presentation begins with the Dirac notation, which is illustrated by boson and fermion oscillator algebras and also Grassmann algebra. Then detailed account of finite-dimensional representations of groups SL(2, C) and SU(2) and their Lie algebras is presented. The general theory of finite-dimensional irreducible representations of simple Lie algebras based on the construction of highest weight representations is given. The classification of all finite-dimensional irreducible representations of the Lie algebras of the classical series sℓ(n, C), so(n, C) and sp(2r, C) is exposed.Finite-dimensional irreducible representations of linear groups SL(N, C) and their compact forms SU(N) are constructed on the basis of the Schur-Weyl duality. A special role here is played by the theory of representations of the symmetric group algebra C[Sr] (Schur-Frobenius theory, Okounkov-Vershik approach), based on combinatorics of Young diagrams and Young tableaux. Similar construction is given for pseudo-orthogonal groups O(p, q) and SO(p, q), including Lorentz groups O(1, N-1) and SO(1, N-1), and their Lie algebras, as well as symplectic groups Sp(p, q). The representation theory of Brauer algebra (centralizer algebra of SO(p, q) and Sp(p, q) groups in tensor representations) is discussed.Finally, the covering groups Spin(p, q) for pseudo-orthogonal groups SO↑(p, q) are studied. For this purpose, Clifford algebras in spaces Rp, q are introduced and representations of these algebras are discussed.

How long is Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications?

Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications by Alexey P Isaev is 615 pages long, and a total of 156,825 words.

This makes it 208% the length of the average book. It also has 192% more words than the average book.

How Long Does it Take to Read Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications Aloud?

The average oral reading speed is 183 words per minute. This means it takes 14 hours and 16 minutes to read Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications aloud.

What Reading Level is Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications?

Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications?

Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications by Alexey P Isaev is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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