Kac-Moody Groups, Their Flag Varieties & Representation Theory

5 avg rating
( 1 ratings by Goodreads )
 
9780817642273: Kac-Moody Groups, Their Flag Varieties & Representation Theory

Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V. Kac and R. Moody, generalizing the finite-dimensional semisimple Lie alge­ bras which we refer to as the finite case. The theory has undergone tremendous developments in various directions and connections with diverse areas abound, including mathematical physics, so much so that this theory has become a stan­ dard tool in mathematics. A detailed treatment of the Lie algebra aspect of the theory can be found in V. Kac's book [Kac-90l This self-contained work treats the algebro-geometric and the topological aspects of Kac-Moody theory from scratch. The emphasis is on the study of the Kac-Moody groups 9 and their flag varieties XY, including their detailed construction, and their applications to the representation theory of g. In the finite case, 9 is nothing but a semisimple Y simply-connected algebraic group and X is the flag variety 9 /Py for a parabolic subgroup p y C g.

"synopsis" may belong to another edition of this title.

Review:

"Most of these topics appear here for the first time in book form. Many of them are interesting even in the classical case of semi-simple algebraic groups. Some appendices recall useful results from other areas, so the work may be considered self-contained, although some familiarity with semi-simple Lie algebras or algebraic groups is helpful. It is clear that this book is a valuable reference for all those interested in flag varieties and representation theory in the semi-simple or Kac-Moody case."

MATHEMATICAL REVIEWS

"A lot of different topics are treated in this monumental work. . . . many of the topics of the book will be useful for those only interested in the finite-dimensional case. The book is self contained, but is on the level of advanced graduate students. . . . For the motivated reader who is willing to spend considerable time on the material, the book can be a gold mine. "

―ZENTRALBLATT MATH

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 89.99
US$ 88.61

Convert Currency

Shipping: FREE
From United Kingdom to U.S.A.

Destination, Rates & Speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

Shrawan Kumar
Published by BIRKHAUSER BOSTON INC, United States (2003)
ISBN 10: 0817642277 ISBN 13: 9780817642273
New Hardcover Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description BIRKHAUSER BOSTON INC, United States, 2003. Hardback. Book Condition: New. 2002 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V. Kac and R. Moody, generalizing the finite-dimensional semisimple Lie alge- bras which we refer to as the finite case. The theory has undergone tremendous developments in various directions and connections with diverse areas abound, including mathematical physics, so much so that this theory has become a stan- dard tool in mathematics. A detailed treatment of the Lie algebra aspect of the theory can be found in V. Kac s book [Kac-90l This self-contained work treats the algebro-geometric and the topological aspects of Kac-Moody theory from scratch. The emphasis is on the study of the Kac-Moody groups 9 and their flag varieties XY, including their detailed construction, and their applications to the representation theory of g. In the finite case, 9 is nothing but a semisimple Y simply-connected algebraic group and X is the flag variety 9 /Py for a parabolic subgroup p y C g. Bookseller Inventory # LIE9780817642273

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 88.61
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

2.

SHRAWAN KUMAR
Published by BirkhÇÏuser (2002)
ISBN 10: 0817642277 ISBN 13: 9780817642273
New Hardcover Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description BirkhÇÏuser, 2002. Hardback. Book Condition: NEW. 9780817642273 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0285742

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 83.49
Convert Currency

Add to Basket

Shipping: US$ 10.63
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

Kumar, Shrawan
Published by Birkhäuser (2016)
ISBN 10: 0817642277 ISBN 13: 9780817642273
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Birkhäuser, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780817642273_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 89.72
Convert Currency

Add to Basket

Shipping: US$ 5.14
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Kumar, Shrawan
Published by Birkhauser Boston Inc (2002)
ISBN 10: 0817642277 ISBN 13: 9780817642273
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Birkhauser Boston Inc, 2002. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9780817642273

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 92.46
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

5.

Kumar, Shrawan
Published by Birkhauser Boston Inc (2002)
ISBN 10: 0817642277 ISBN 13: 9780817642273
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Birkhauser Boston Inc, 2002. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9780817642273

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 85.07
Convert Currency

Add to Basket

Shipping: US$ 11.96
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Shrawan Kumar
Published by Birkhäuser (2002)
ISBN 10: 0817642277 ISBN 13: 9780817642273
New Hardcover Quantity Available: 15
Print on Demand
Seller:
Rating
[?]

Book Description Birkhäuser, 2002. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9780817642273

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 95.27
Convert Currency

Add to Basket

Shipping: US$ 3.53
From Germany to U.S.A.
Destination, Rates & Speeds

7.

Kumar, Shrawan
Published by Birkhäuser (2017)
ISBN 10: 0817642277 ISBN 13: 9780817642273
New Hardcover Quantity Available: > 20
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Birkhäuser, 2017. Hardcover. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # 0817642277

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 97.18
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

8.

Kumar, Shrawan; Kumar, S.
Published by Birkh?user (2002)
ISBN 10: 0817642277 ISBN 13: 9780817642273
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Birkh?user, 2002. Hardcover. Book Condition: New. Bookseller Inventory # DADAX0817642277

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 97.43
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

9.

Kumar, Shrawan; Kumar, S.
Published by Birkhäuser (2002)
ISBN 10: 0817642277 ISBN 13: 9780817642273
New Hardcover Quantity Available: 10
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Birkhäuser, 2002. Hardcover. Book Condition: New. Bookseller Inventory # INGM9780817642273

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 101.69
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

10.

Shrawan Kumar
Published by BIRKHAUSER BOSTON INC, United States (2003)
ISBN 10: 0817642277 ISBN 13: 9780817642273
New Hardcover Quantity Available: 10
Print on Demand
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description BIRKHAUSER BOSTON INC, United States, 2003. Hardback. Book Condition: New. 2002 ed.. Language: English . Brand New Book ***** Print on Demand *****.Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V. Kac and R. Moody, generalizing the finite-dimensional semisimple Lie alge- bras which we refer to as the finite case. The theory has undergone tremendous developments in various directions and connections with diverse areas abound, including mathematical physics, so much so that this theory has become a stan- dard tool in mathematics. A detailed treatment of the Lie algebra aspect of the theory can be found in V. Kac s book [Kac-90l This self-contained work treats the algebro-geometric and the topological aspects of Kac-Moody theory from scratch. The emphasis is on the study of the Kac-Moody groups 9 and their flag varieties XY, including their detailed construction, and their applications to the representation theory of g. In the finite case, 9 is nothing but a semisimple Y simply-connected algebraic group and X is the flag variety 9 /Py for a parabolic subgroup p y C g. Bookseller Inventory # APC9780817642273

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 109.79
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book