Share
dirac operators in representation theory (in English)
Huang,Pandzic (Author)
·
springer publishing map
· Physical Book
dirac operators in representation theory (in English) - huang,pandzic
$ 104.20
$ 109.99
You save: $ 5.79
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Tuesday, July 09 and
Wednesday, July 10.
You will receive it anywhere in United States between 1 and 3 business days after shipment.
Synopsis "dirac operators in representation theory (in English)"
this monograph presents a comprehensive treatment of important new ideas on dirac operators and dirac cohomology. dirac operators are widely used in physics, differential geometry, and group-theoretic settings (particularly, the geometric construction of discrete series representations). the related concept of dirac cohomology, which is defined using dirac operators, is a far-reaching generalization that connects index theory in differential geometry to representation theory. using dirac operators as a unifying theme, the authors demonstrate how some of the most important results in representation theory fit together when viewed from this perspective. key topics covered include: * proof of vogans conjecture on dirac cohomology * simple proofs of many classical theorems, such as the bott?borel?weil theorem and the atiyah?schmid theorem * dirac cohomology, defined by kostants cubic dirac operator, along with other closely related kinds of cohomology, such as n-cohomology and (g,k)-cohomology * cohomological parabolic induction and $a_q(lambda)$ modules * discrete series theory, characters, existence and exhaustion * sharpening of the langlands formula on multiplicity of automorphic forms, with applications * dirac cohomology for lie superalgebras an excellent contribution to the mathematical literature of representation theory, this self-contained exposition offers a systematic examination and panoramic view of the subject. the material will be of interest to researchers and graduate students in representation theory, differential geometry, and physics.
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
All books in our catalog are Original.
The book is written in English.
✓ Producto agregado correctamente al carro, Ir a Pagar.