Dirac Operators in Representation Theory (Mathematics: Theory & Applications)
Language: English
Published by Birkhäuser, 2006
- Hardcover
- Used
Seller: BGV Books LLC, Murray, KY, U.S.A.BGV Books LLC
AbeBooks seller since January 12, 2023
Condition: Used - Good
£ 46.49
Quantity: 3 available
Add to basketItem description from seller
Exact ISBN match. Immediate shipping. No funny business.
Seller Inventory # 9780817632182
- Title
- Dirac Operators in Representation Theory (Mathematics: Theory & Applications)
- Author
- Huang, Jing-Song; Pandzic, Pavle
- Publisher
- Birkhäuser
- Publication year
- 2006
- Condition
- Good
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0817632182
- ISBN 13
- 9780817632182
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.
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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 Vogan's 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 Kostant's 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.
"About the title" may belong to another edition of this title.
BGV Books LLC
Murray, KY, U.S.A.
AbeBooks seller since January 12, 2023
Shipping rates within U.S.A.
| Item | 5 to 8 business days | 3 to 6 business days |
|---|---|---|
| First item | £ 0.00 | £ 2.22 |
Payment methods
Specialty
trade books, TextbooksSeller's business information
BGV Books LLC
404 Industrial Rd
Murray, KY U.S.A. 42071
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to BGV Books LLC, Murray, Kentucky, U.S.A., without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.