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51

Lie Theory and Geometry || The Spectrum of Certain Invariant Differential Operators Associated to a Hermitian Symmetric Space

Brylinski, Jean-Luc, Brylinski, Ranee, Guillemin, Victor, Kac, Victor

Year:

1994

Language:

english

File:

PDF, 885 KB

english, 1994

52

On integrability of some bi-Hamiltonian two field systems of partial differential equations

De Sole, Alberto, Kac, Victor G., Turhan, Refik

Journal:

Journal of Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 709 KB

english, 2015

53

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 2

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 123 KB

english, 2013

54

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 14

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 150 KB

english, 2013

55

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 8

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 151 KB

english, 2013

56

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 1

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 133 KB

english, 2013

57

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 13

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 163 KB

english, 2013

58

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 7

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 150 KB

english, 2013

59

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 3

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 156 KB

english, 2013

60

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 15

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 149 KB

english, 2013

61

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 11

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 142 KB

english, 2013

62

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 4

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 160 KB

english, 2013

63

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 16

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 164 KB

english, 2013

64

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 10

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 149 KB

english, 2013

65

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 9

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 154 KB

english, 2013

66

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 5

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 137 KB

english, 2013

67

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 17

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 187 KB

english, 2013

68

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 12

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 190 KB

english, 2013

69

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 6

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 135 KB

english, 2013

70

[Advanced Series in Mathematical Physics] Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras Volume 29 || LECTURE 18

Kac, Victor G, Raina, Ashok K, Rozhkovskaya, Natasha

Year:

2013

Language:

english

File:

PDF, 181 KB

english, 2013

71

Characters of (relatively) integrable modules over affine Lie superalgebras

Gorelik, Maria, Kac, Victor G.

Journal:

Japanese Journal of Mathematics

Year:

2015

Language:

english

File:

PDF, 956 KB

english, 2015

72

Infinite dimensional Lie algebras || Introduction

Year:

1990

Language:

english

File:

PDF, 751 KB

english, 1990

73

A Lax type operator for quantum finite W-algebras

De Sole, Alberto, Kac, Victor G., Valeri, Daniele

Journal:

Selecta Mathematica

Year:

2018

Language:

english

File:

PDF, 865 KB

english, 2018

74

Corrigendum to “Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting” [Adv. Math. 217 (6) (2008) 2485–2562]

Kac, Victor G., Möseneder Frajria, Pierluigi, Papi, Paolo

Journal:

Advances in Mathematics

Year:

2019

Language:

english

File:

PDF, 294 KB

english, 2019

75

Poisson $\lambda$-brackets for Differential–Difference Equations

De Sole, Alberto, Kac, Victor G, Valeri, Daniele, Wakimoto, Minoru

Journal:

International Mathematics Research Notices

Year:

2018

Language:

english

File:

PDF, 607 KB

english, 2018

76

On complexity of representations of quivers

Journal:

Comptes Rendus Mathematique

Year:

2019

Language:

english

File:

PDF, 261 KB

english, 2019

77

On the structure of quantum vertex algebras

De Sole, Alberto, Gardini, Matteo, Kac, Victor G.

Journal:

Journal of Mathematical Physics

Year:

2020

File:

PDF, 4.56 MB

2020

78

Classification of Infinite-Dimensional Simple Linearly Compact Lie Superalgebras

Journal:

Advances in Mathematics

Year:

1998

Language:

english

File:

PDF, 810 KB

english, 1998

79

The stability of vacua in two-dimensional gauge theory

Victor Kac, Jan Troost

Journal:

Physics Letters B

Year:

2001

Language:

english

File:

PDF, 84 KB

english, 2001

80

Quasifinite highest weight modules over the Lie algebra of differential operators on the circle

Victor Kac, Andrey Radul

Journal:

Communications in Mathematical Physics

Year:

1993

Language:

english

File:

PDF, 1.19 MB

english, 1993

81

A newN= 6 superconformal algebra

Shun-Jen Cheng, Victor G. Kac

Journal:

Communications in Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 551 KB

english, 1997

82

Superconformal algebras and transitive group actions on quadrics

Journal:

Communications in Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 968 KB

english, 1997

83

Representations of the Exceptional Lie Superalgebra E(3,6) II: Four Series of Degenerate Modules

Victor G. Kac, Alexei Rudakov

Journal:

Communications in Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 402 KB

english, 2001

84

Quantum Reduction for Affine Superalgebras

Victor Kac, Shi-Shyr Roan, Minoru Wakimoto

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 365 KB

english, 2003

85

Solitons in Affine and Permutation Orbifolds

Victor G. Kac, Roberto Longo, Feng Xu

Journal:

Communications in Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 408 KB

english, 2005

86

Freely Generated Vertex Algebras and Non–Linear Lie Conformal Algebras

Alberto De Sole, Victor G. Kac

Journal:

Communications in Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 296 KB

english, 2005

87

Supersymmetric Vertex Algebras

Reimundo Heluani, Victor G. Kac

Journal:

Communications in Mathematical Physics

Year:

2007

Language:

english

File:

PDF, 628 KB

english, 2007

88

Lie Conformal Algebra Cohomology and the Variational Complex

Alberto de Sole, Victor G. Kac

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 667 KB

english, 2009

89

Integrable Highest Weight Modules over Affine Superalgebras and Appell's Function

Victor G. Kac, Minoru Wakimoto

Journal:

Communications in Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 380 KB

english, 2001

90

Cohomology of Conformal Algebras

Bojko Bakalov, Victor G. Kac, Alexander A. Voronov

Journal:

Communications in Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 282 KB

english, 1999

91

Essential Variational Poisson Cohomology

Alberto De Sole, Victor G. Kac

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 387 KB

english, 2012

92

Classification of Finite Irreducible Modules over the Lie Conformal SuperalgebraCK6

Carina Boyallian, Victor G. Kac, José I. Liberati

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 490 KB

english, 2013

93

Classical({mathcal{W}})-Algebras and Generalized Drinfeld-Sokolov Bi-Hamiltonian Systems Within the Theory of Poisson Vertex Algebras

De Sole, Alberto, Kac, Victor G., Valeri, Daniele

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 589 KB

english, 2013

94

Some remarks on non-commutative principal ideal rings

Carpentier, Sylvain, De Sole, Alberto, Kac, Victor G.

Journal:

Comptes Rendus Mathematique

Year:

2013

Language:

english

File:

PDF, 149 KB

english, 2013

95

[Part 1: Physical Sciences] || Spin and Wedge Representations of Infinite-Dimensional Lie Algebras and Groups

Victor G. Kac and Dale H. Peterson

Journal:

Proceedings of the National Academy of Sciences

Year:

1981

Language:

english

File:

PDF, 801 KB

english, 1981

96

[Part 2: Physical Sciences] || Infinite Flag Varieties and Conjugacy Theorems

Dale H. Peterson and Victor G. Kac

Journal:

Proceedings of the National Academy of Sciences

Year:

1983

Language:

english

File:

PDF, 919 KB

english, 1983

97

[Part 2: Physical Sciences] || Laplace Operators of Infinite-Dimensional Lie Algebras and Theta Functions

Journal:

Proceedings of the National Academy of Sciences

Year:

1984

Language:

english

File:

PDF, 539 KB

english, 1984

98

[Part 1: Physical Sciences] || A Remark on the Conway-Norton Conjecture about the ``Monster'' Simple Group

Journal:

Proceedings of the National Academy of Sciences

Year:

1980

Language:

english

File:

PDF, 171 KB

english, 1980

99

A New Approach to the Lenard–Magri Scheme of Integrability

De Sole, Alberto, Kac, Victor G., Turhan, Refik

Journal:

Communications in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 283 KB

english, 2014

100

Classical({mathcal{W}})-Algebras and Generalized Drinfeld–Sokolov Hierarchies for Minimal and Short Nilpotents

Sole, Alberto De, Kac, Victor G., Valeri, Daniele

Journal:

Communications in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 618 KB

english, 2014