Cantitate/Preț
Produs

Musson, I: Lie Superalgebras and Enveloping Algebras: Graduate Studies in Mathematics

Autor Ian M. Musson
en Limba Engleză Hardback – 30 apr 2012
Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. This book develops the theory of Lie superalgebras, their enveloping algebras, and their representations. The book begins with five chapters on the basic properties of Lie superalgebras, including explicit constructions for all the classical simple Lie superalgebras. Borel subalgebras, which are more subtle in this setting, are studied and described. Contragredient Lie superalgebras are introduced, allowing a unified approach to several results, in particular to the existence of an invariant bilinear form on $\mathfrak{g}$. The enveloping algebra of a finite dimensional Lie superalgebra is studied as an extension of the enveloping algebra of the even part of the superalgebra. By developing general methods for studying such extensions, important information on the algebraic structure is obtained, particularly with regard to primitive ideals. Fundamental results, such as the Poincaré-Birkhoff-Witt Theorem, are established. Representations of Lie superalgebras provide valuable tools for understanding the algebras themselves, as well as being of primary interest in applications to other fields. Two important classes of representations are the Verma modules and the finite dimensional representations. The fundamental results here include the Jantzen filtration, the Harish-Chandra homomorphism, the apovalov determinant, supersymmetric polynomials, and Schur-Weyl duality. Using these tools, the center can be explicitly described in the general linear and orthosymplectic cases. In an effort to make the presentation as self-contained as possible, some background material is included on Lie theory, ring theory, Hopf algebras, and combinatorics.
Citește tot Restrânge

Din seria Graduate Studies in Mathematics

Preț: 49289 lei

Preț vechi: 94214 lei
-48%

Puncte Express: 739

Preț estimativ în valută:
9443 10229$ 8098£

Carte indisponibilă temporar

Doresc să fiu notificat când acest titlu va fi disponibil:

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780821868676
ISBN-10: 0821868675
Pagini: 500
Dimensiuni: 187 x 260 x 29 mm
Greutate: 0.81 kg
Editura: American Mathematical Society
Seria Graduate Studies in Mathematics