Highest weight representations of infinite dimensional lie algebra (notice n° 8866)
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fixed length control field | 02214nam a2200301 u 4500 |
001 - CONTROL NUMBER | |
control field | UNI0000337 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20161123114400.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 130702s1987 XX eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9789971503956 (paperback) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9971503956 (paperback) |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | DCLC |
040 ## - CATALOGING SOURCE | |
Modifying agency | IMIST |
Description conventions | AFNOR |
041 1# - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.55 |
Edition number | 22 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Kac, Victor G. |
245 #0 - TITLE STATEMENT | |
Title | Highest weight representations of infinite dimensional lie algebra |
Statement of responsibility, etc | Victor G. Kac. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc | [S.l.] |
Name of publisher, distributor, etc | Wspc |
Date of publication, distribution, etc | 1987. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 145 p. |
Dimensions | 22 cm. |
490 1# - SERIES STATEMENT | |
Series statement | Advanced series in mathematical physics |
Volume number/sequential designation | Vol. 2. |
500 ## - GENERAL NOTE | |
General note | This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes through four different incarnationsThe first is the canonical commutation relations of the infinite-dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gl? of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These algebras appear in the lectures twice, in the reduction theory of soliton equations (Kp ? KdV) and in the Sugawara construction as the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. . This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite-dimensional Lie algebras; and to physicists, this theory is turning into an important component of such domains of theoretical physics as soliton theory, theory of two-dimensional statistical models, and string theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Infinite dimensional Lie algebras |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Infinite dimensional Lie algebras |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Lie algebras |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Lie algebras |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Quantum theory |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Quantum theory |
Withdrawn status | Lost status | Damaged status | Not for loan | Permanent Location | Current Location | Date acquired | Inventory number | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
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La bibliothèque des Sciences Exactes et Naturelles | La bibliothèque des Sciences Exactes et Naturelles | 15247 | 512.55 KAC | 0000000018034 | 11/23/2016 | 11/23/2016 | Livre |