WorldCat Identities

Kac, Victor G. 1943-

Overview
Works: 54 works in 268 publications in 4 languages and 5,402 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other
Classifications: QA252.3, 512.55
Publication Timeline
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Most widely held works by Victor G Kac
Bombay lectures on highest weight representations of infinite dimensional lie algebras by Victor G Kac( )

26 editions published between 1987 and 2013 in English and held by 1,832 WorldCat member libraries worldwide

The second edition of this book incorporates, as its first part, the largely unchanged text of the first edition, while its second part is the collection of lectures on vertex algebras, delivered by Professor Kac at the TIFR in January 2003. The basic idea of these lectures was to demonstrate how the key notions of the theory of vertex algebras--such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations--simplify and clarify the constructions of the first edition of the book. -- Cover
Infinite dimensional Lie algebras by Victor G Kac( Book )

67 editions published between 1982 and 2014 in 3 languages and held by 1,146 WorldCat member libraries worldwide

The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris
Quantum calculus by Victor G Kac( Book )

18 editions published between 2001 and 2011 in English and held by 436 WorldCat member libraries worldwide

Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus, the reader discovers, with a remarkable inevitability, many important notions and results of classical mathematics. This book is written at the level of a first course in calculus and linear algebra and is aimed at undergraduate and beginning graduate students in mathematics, computer science, and physics. It is based on lectures and seminars given by Professor Kac over the last few years at MIT. Victor Kac is Professor of Mathematics at MIT. He is an author of 4 books and over a hundred research papers. He was awarded the Wigner Medal for his work on Kac-Moody algebras that has numerous applications to mathematics and theoretical physics. He is a honorary member of the Moscow Mathematical Society. Pokman Cheung graduated from MIT in 2001 after three years of undergraduate studies. He is presently a graduate student at Stanford University
Infinite dimensional groups with applications by Victor G Kac( Book )

15 editions published in 1985 in English and held by 346 WorldCat member libraries worldwide

Vertex algebras for beginners by Victor G Kac( Book )

32 editions published between 1996 and 2001 in English and held by 345 WorldCat member libraries worldwide

Vertex Algebras introduces the algebraic aspects of conformal field theory and provides access to many unusual mathematical notions
Graded simple Jordan superalgebras of growth one by Victor G Kac( Book )

11 editions published in 2001 in English and held by 263 WorldCat member libraries worldwide

Introduction Structure of the even part Cartan type Even part is direct sum of two loop algebras $A$ is a loop algebra $J$ is a finite dimensional Jordan superalgebra or a Jordan superalgebra of a superform The main case Impossible cases Bibliography
Vertex algebras for beginners by Victor G Kac( Book )

2 editions published in 1998 in English and held by 222 WorldCat member libraries worldwide

Lie groups, geometry, and representation theory : a tribute to the life and work of Bertram Kostant( )

12 editions published in 2018 in English and held by 218 WorldCat member libraries worldwide

"This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 - February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics. Kostant's fundamental work in all of these areas has provided deep new insights and connections, and has created new fields of research. It features important recent results of the contributors with full details of their proofs."
Infinite dimensional lie algebras and groups : proceedings of the conference held at CIRM, Luminy, Marseille, July 4-8, 1988 by Victor G Kac( Book )

18 editions published between 1989 and 1990 in English and held by 203 WorldCat member libraries worldwide

"Readership: Mathematicians and mathematical physicists."--
Symmetries, Differential Equations and Applications : SDEA-III, İstanbul, Turkey, August 2017 by Differential Equations and Applications International Conference on Symmetries( )

9 editions published between 2018 and 2019 in English and held by 182 WorldCat member libraries worldwide

Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and symmetry methods in differential equations, Lie algebras and Lie pseudogroups, super-symmetry and super-integrability, representation theory of Lie algebras, classification problems, conservation laws, and geometrical methods. The SDEA III, held in honour of the Centenary of Noether's Theorem, proven by the prominent German mathematician Emmy Noether, at Istanbul Technical University in August 2017 provided a productive forum for academic researchers, both junior and senior, and students to discuss and share the latest developments in the theory and applications of Lie symmetry groups. This work has an interdisciplinary appeal and will be a valuable read for researchers in mathematics, mechanics, physics, engineering, medicine and finance
Infinite Dimensional Groups with Applications by Victor G Kac( )

1 edition published in 1985 in English and held by 59 WorldCat member libraries worldwide

This volume records most of the talks given at the Conference on Infinite-dimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, California, May 10-May 15, 1984, as a part of the special program on Kac-Moody Lie algebras. The purpose of the conference was to review recent developments of the theory of infinite-dimensional groups and its applications. The present collection concentrates on three very active, interrelated directions of the field: general Kac-Moody groups, gauge groups (especially loop groups) and diffeomorphism groups. I would like to express my thanks to the MSRI for sponsoring the meeting, to Ms. Faye Yeager for excellent typing, to the authors for their manuscripts, and to Springer-Verlag for publishing this volume. V. Kac INFINITE DIMENSIONAL GROUPS WITH APPLICATIONS CONTENTS The Lie Group Structure of M. Adams. T. Ratiu 1 Diffeomorphism Groups and & R. Schmid Invertible Fourier Integral Operators with Applications On Landau-Lifshitz Equation and E. Date 71 Infinite Dimensional Groups Flat Manifolds and Infinite D.S. Freed 83 Dimensional Kahler Geometry Positive-Energy Representations R. Goodman 125 of the Group of Diffeomorphisms of the Circle Instantons and Harmonic Maps M.A. Guest 137 A Coxeter Group Approach to Z. Haddad 157 Schubert Varieties Constructing Groups Associated to V.G. Kac 167 Infinite-Dimensional Lie Algebras I. Kaplansky 217 Harish-Chandra Modules Over the Virasoro Algebra & L.J. Santharoubane 233 Rational Homotopy Theory of Flag S
Algebras, Representations and Applications by V Futorny( )

1 edition published in 2009 in English and held by 40 WorldCat member libraries worldwide

Infinite dimensional Lie algebras : an introd by Victor G Kac( Book )

4 editions published between 1983 and 1995 in 3 languages and held by 25 WorldCat member libraries worldwide

Bombay Lectures on highest weight representations of infinite dimensional lie algebras by Victor G Kac( Book )

2 editions published in 2013 in English and held by 13 WorldCat member libraries worldwide

Infinite dimensional groups with applications( Book )

1 edition published in 1985 in English and held by 11 WorldCat member libraries worldwide

Bombay lectures on highest weight representations of infinite dimensional Lie algebras by Victor G Kac( )

2 editions published between 1987 and 2013 in English and held by 10 WorldCat member libraries worldwide

To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such domains of theoretical physics as soliton theory, conformal field theory, the theory of two-dimensional statistical models, and string theory
Lie theory and geometry : in honor of Bertram Kostant by J.-L Brylinski( )

2 editions published in 1994 in English and held by 6 WorldCat member libraries worldwide

This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant's fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant's work
Beskonechnomernye algebry Li by Victor G Kac( Book )

2 editions published in 1993 in Russian and held by 3 WorldCat member libraries worldwide

Ėkonomičeskoe sorevnovanie meždu S[ojuzom] SSR i SŠA( Book )

1 edition published in 1959 in Undetermined and held by 3 WorldCat member libraries worldwide

Cyclic elements in semisimple Lie algebras by A. G Elashvili( )

1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide

We develop a theory of cyclic elements associated with nilpotent elements in semisimple Lie algebras. This notion was introduced by Kostant, who associated a cycic element with the principal nilpotent and proved that it is semisimple. In particular, we classify all nilpotents giving rise to semisimple and to nilpotent cyclic elements. As an application, we obtain an explicit construction of all regular elements in the Weyl groups
 
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  Kids General Special  
Audience level: 0.46 (from 0.06 for Bombay lec ... to 0.95 for Infinite d ...)

Quantum calculus
Covers
Quantum calculusInfinite dimensional groups with applicationsVertex algebras for beginnersVertex algebras for beginnersInfinite dimensional Lie algebras : an introdInfinite dimensional groups with applicationsLie theory and geometry : in honor of Bertram Kostant
Alternative Names
Kac, V.

Kac, V. 1943-

Kac, V.G.

Kac, V. G. 1943-

Kac, V. (Victor), 1943-

Kac, Victor.

Kac, Victor 1943-

Kac, Victor G.

Kac, Victor Gershevich

Kac, Victor Grigorievich

Victor Kac matemàtic rus

Victor Kac matemático ruso

Victor Kac matemáticu estauxunidense

Victor Kac mathématicien américain

Victor Kac Russian mathematician

Victor Kac Russisch wiskundige

Victor Kac US-amerikanischer Mathematiker

Viktor Kac Rusa matematikisto

Виктор Кац советский и американский математик

Віктор Кац

Кац, Виктор Гершевич, 1943-....

Кац, Виктор советский и американский математик

빅토르 카츠

ヴィクトル・カッツ

Languages
English (216)

Russian (2)

German (1)

Italian (1)