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61. Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras (Advanced Series in Mathematical Physics) by Victor G. Kac, A. K. Raina | |
Hardcover: 158
Pages
(1988-07)
list price: US$73.00 -- used & new: US$73.00 (price subject to change: see help) Asin: 9971503956 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The first is the canonical commutation relations of theinfinite-dimensional Heisenberg Algebra (= ocillator algebra). Thesecond is the highest weight representations of the Lie algebra gl¥of infinite matrices, along with their applications to the theory ofsoliton equations, discovered by Sato and Date, Jimbo, Kashiwara andMiwa. The third is the unitary highest weight representations of thecurrent (= affine Kac-Moody) algebras. These algebras appear in thelectures twice, in the reduction theory of soliton equations (KP ®KdV) and in the Sugawara construction as the main tool in the study ofthe fourth incarnation of the main idea, the theory of the highestweight representations of the Virasoro algebra. This book should be very useful for both mathematicians andphysicists. To mathematicians, it illustrates the interaction of thekey ideas of the representation theory of infinite-dimensional Liealgebras; and to physicists, this theory is turning into an importantcomponent of such domains of theoretical physics as soliton theory,theory of two-dimensional statistical models, and string theory. |
62. Kac-Moody Lie Algebras and Related Topics | |
Mass Market Paperback: 384
Pages
(2004-04-01)
list price: US$93.00 -- used & new: US$60.43 (price subject to change: see help) Asin: 0821833375 Canada | United Kingdom | Germany | France | Japan | |
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63. Vertex Algebras and Integral Bases for the Enveloping Algebras of Affine Lie Algebras (Memoirs of the American Mathematical Society) by Shari A. Prevost | |
Paperback: 97
Pages
(1992-03)
list price: US$27.00 -- used & new: US$31.97 (price subject to change: see help) Asin: 0821825275 Canada | United Kingdom | Germany | France | Japan | |
64. Modular Interfaces: Modular Lie Algebras, Quantum Groups, and Lie Superalgebras (Ams/Ip Studies in Advanced Mathematics, No. 4.) | |
Paperback: 160
Pages
(1997-07)
list price: US$41.00 -- used & new: US$42.81 (price subject to change: see help) Asin: 082180748X Canada | United Kingdom | Germany | France | Japan | |
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65. Lie Algebras: Madison 1987. Proceedings of a Workshop held in Madison, Wisconsin, August 23-28, 1987 (Lecture Notes in Mathematics) | |
Paperback: 145
Pages
(1989-06-12)
list price: US$26.00 -- used & new: US$20.00 (price subject to change: see help) Asin: 3540511474 Canada | United Kingdom | Germany | France | Japan | |
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66. Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry (Fields Institute Communications) | |
Hardcover: 504
Pages
(2004-03-01)
list price: US$125.00 -- used & new: US$108.72 (price subject to change: see help) Asin: 0821834169 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were presented. The workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. The workshop on Quantum Groups and Hall Algebras dealt with the different approaches of using the representation theory of quivers (and species) in order to construct quantum groups, working either over finite fields or over the complex numbers. In particular, these proceedings contain a quite detailed outline of the use of perverse sheaves in order to obtain canonical bases. The book is recommended for graduate students and researchers in algebra and geometry. |
67. Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory: Proceedings of an International Conference on Infinite-Dimensional ... Virginia, charl (Contemporary Mathematics) | |
Paperback: 334
Pages
(2002-07)
list price: US$87.00 -- used & new: US$48.99 (price subject to change: see help) Asin: 0821827162 Canada | United Kingdom | Germany | France | Japan | |
68. Algebraic Integrability, Painlevé Geometry and Lie Algebras (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) by Mark Adler, Pierre van Moerbeke, Pol Vanhaecke | |
Paperback: 483
Pages
(2010-11-02)
list price: US$179.00 -- used & new: US$179.00 (price subject to change: see help) Asin: 3642061281 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas, and make up the core of the last part of the book. The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic. |
69. Structure of the Level One Standard Modules for the Affine Lie Algebras Blp (Memoirs of the American Mathematical Society) by Marly Mandia | |
Paperback: 146
Pages
(1987-01)
list price: US$27.00 -- used & new: US$41.97 (price subject to change: see help) Asin: 0821824236 Canada | United Kingdom | Germany | France | Japan | |
70. Extended Affine Lie Algebras and Their Root Systems (Memoirs of the American Mathematical Society) by Bruce N. Allison, Saeid Azam, Stephen Berman, Yun Gao, Arturo Pianzola | |
Paperback: 122
Pages
(1997-07)
list price: US$43.00 -- used & new: US$64.96 (price subject to change: see help) Asin: 0821805940 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The first chapter of the paper is devoted to establishing some basic structure theory. It includes a proof of the fact that, as conjectured by Kac, the invariant symmetric bilinear form on an EALA can be scaled so that its restriction to the real span of the root system is positive semi-definite. The second chapter studies extended affine root systems (EARS) which are an axiomatized version of the root systems arising from EALA's. The concept of a semilattice is used to give a complete description of EARS. In the final chapter, a number of new examples of extended affine Lie algebras are given. The concluding appendix contains an axiomatic characterization of the nonisotropic roots in an EARS in a more general context than the one used in the rest of the paper. Features: Provides a foundation for the study of an important class of Lie algebras that generalizes the class of affine Kac-Moody Lie algebras Includes material on Lie algebras and on root systems that can be read independently. |
71. Rational Methods in Lie Algebras (Lecture Notes in Pure & Applied Mathematics, Vol 17) by George B. Seligman | |
Hardcover: 360
Pages
(1976-05)
list price: US$160.00 -- used & new: US$454.86 (price subject to change: see help) Asin: 0824764803 Canada | United Kingdom | Germany | France | Japan | |
72. Triangle Equations and Simple Lie Algebras (Classic Reviews in Mathematics and Mathematical Physics) by A A Belavin, V G Drinfield | |
Hardcover: 91
Pages
(1998-08-01)
list price: US$49.95 -- used & new: US$32.00 (price subject to change: see help) Asin: 9057022699 Canada | United Kingdom | Germany | France | Japan | |
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73. Tables of Dominant Weight Multiplicities for Representations of Simple Lie Algebras (Pure and Applied Mathematics) by M. R. Bremner, Robert V. Moody, J. Patera | |
Hardcover: 352
Pages
(1985-01-05)
list price: US$145.00 -- used & new: US$415.48 (price subject to change: see help) Asin: 0824772709 Canada | United Kingdom | Germany | France | Japan | |
74. Algebra, Carbondale 1980: Lie Algebras, Group Theory, and Partially Ordered Algebraic Structures - Proceedings of the Southern Illinois Algebra Conference, ... (Lecture Notes in Mathematics, Vol. 848) | |
Paperback: 298
Pages
(1981)
-- used & new: US$65.00 (price subject to change: see help) Asin: 0387105735 Canada | United Kingdom | Germany | France | Japan | |
75. Invariant Differential Operators and the Cohomology of Lie Algebra Sheaves (Memoirs of the American Mathematical Society) by F.W. Kamber, P. Tondeur | |
Paperback: 125
Pages
(1971-12-31)
list price: US$18.00 -- used & new: US$17.99 (price subject to change: see help) Asin: 0821818139 Canada | United Kingdom | Germany | France | Japan | |
76. Mathematical Studies on Lie-Admissible Algebras (Hadronic Press Reprint Series in Mathematics, Vol 11) | |
Paperback:
Pages
(1985-12)
list price: US$60.00 Isbn: 0911767142 Canada | United Kingdom | Germany | France | Japan | |
77. Applications of Lie Algebras to Hyperbolic and Stochastic Differential Equations (Mathematics and Its Applications) by Constantin Vârsan | |
Hardcover: 248
Pages
(1999-05-31)
list price: US$163.00 -- used & new: US$163.00 (price subject to change: see help) Asin: 0792357183 Canada | United Kingdom | Germany | France | Japan | |
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78. Lie Algebras and Related Topics (Canadian Mathematical Society Conference Proceedings) by D. J. Britten, F. W. Lemire | |
Paperback: 382
Pages
(1986-03)
list price: US$66.00 -- used & new: US$119.98 (price subject to change: see help) Asin: 0821860097 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Because of the expository surveys and courses, the book will be especially useful to graduate students in Lie theory, as well as to researchers in the field. |
79. Modular Lie Algebras by George B. Seligman | |
Hardcover: 165
Pages
(1967)
Asin: B0006BRR9U Canada | United Kingdom | Germany | France | Japan | |
80. Lie Algebras: Theory and Algorithms, Volume 56 (North-Holland Mathematical Library) by W.A. de Graaf | |
Hardcover: 408
Pages
(2000-02-18)
list price: US$133.00 -- used & new: US$132.75 (price subject to change: see help) Asin: 0444501169 Canada | United Kingdom | Germany | France | Japan | |
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