Cantitate/Preț
Produs

Theory of Groups and Symmetries: Representations of Groups and Lie Algebras, Applications

Autor Alexey P Isaev, Valery A Rubakov
en Limba Engleză Hardback – 3 aug 2020
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.
Citește tot Restrânge

Preț: 95453 lei

Preț vechi: 116406 lei
-18% Nou

Puncte Express: 1432

Preț estimativ în valută:
18271 19645$ 15232£

Carte tipărită la comandă

Livrare economică 19 decembrie 24 - 02 ianuarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9789811217401
ISBN-10: 9811217408
Pagini: 616
Dimensiuni: 157 x 235 x 37 mm
Greutate: 0.98 kg
Editura: World Scientific Publishing Company