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1

Characters and fusion rules forW-algebras via quantized Drinfeld-Sokolov reduction

Edward Frenkel, Victor Kac, Minoru Wakimoto

Journal:

Communications in Mathematical Physics

Year:

1992

Language:

english

File:

PDF, 1.68 MB

english, 1992

2

Finite-Dimensional Representations of Quantum Affine Algebras at Roots of Unity

Jonathan Beck and Victor G. Kac

Journal:

Journal of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 2.36 MB

english, 1996

3

Infinite dimensional Lie algebras || Highest-Weight Modules over Kac–Moody Algebras

Year:

1990

Language:

english

File:

PDF, 1.26 MB

english, 1990

4

Modular and conformal invariance constraints in representation theory of affine algebras

Victor G Kac, Minoru Wakimoto

Journal:

Advances in Mathematics

Year:

1988

Language:

english

File:

PDF, 3.30 MB

english, 1988

5

Classification of linearly compact simple Jordan and generalized Poisson superalgebras

Nicoletta Cantarini, Victor G. Kac

Journal:

Journal of Algebra

Year:

2007

Language:

english

File:

PDF, 258 KB

english, 2007

6

Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs

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

Journal:

Japanese Journal of Mathematics

Year:

2012

Language:

english

File:

PDF, 880 KB

english, 2012

7

10.1090/S0894-0347-96-00183-X

Beck, Jonathan, Kac, Victor G.

Journal:

Journal of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 631 KB

english, 1996

8

Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions

Kac, Victor G., van de Leur, Johan W.

Journal:

Japanese Journal of Mathematics

Year:

2018

Language:

english

File:

PDF, 685 KB

english, 2018

9

A new class of unitarizable highest weight representations of infinite-dimensional Lie algebras, II

Hans Plesner Jakobsen, Victor Kac

Journal:

Journal of Functional Analysis

Year:

1989

Language:

english

File:

PDF, 987 KB

english, 1989

10

Quantum reduction and representation theory of superconformal algebras

Victor G. Kac, Minoru Wakimoto

Journal:

Advances in Mathematics

Year:

2004

Language:

english

File:

PDF, 603 KB

english, 2004

11

Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type and

Bojko Bakalov, Alessandro D’Andrea, Victor G. Kac

Journal:

Advances in Mathematics

Year:

2006

Language:

english

File:

PDF, 643 KB

english, 2006

12

Classification of finite simple Lie conformal superalgebras

Davide Fattori, Victor G. Kac

Journal:

Journal of Algebra

Year:

2002

Language:

english

File:

PDF, 300 KB

english, 2002

13

Superconformal current algebras and their unitary representations

Victor G. Kac, Ivan T. Todorov

Journal:

Communications in Mathematical Physics

Year:

1986

Language:

english

File:

PDF, 44 KB

english, 1986

14

Superconformal current algebras and their unitary representations

Victor G. Kac, Ivan T. Todorov

Journal:

Communications in Mathematical Physics

Year:

1985

Language:

english

File:

PDF, 621 KB

english, 1985

15

Finite vs affine W-algebras

Alberto De Sole, Victor G. Kac

Journal:

Japanese Journal of Mathematics

Year:

2006

Language:

english

File:

PDF, 694 KB

english, 2006

16

Non-local Poisson structures and applications to the theory of integrable systems

Sole, Alberto, Kac, Victor G.

Journal:

Japanese Journal of Mathematics

Year:

2013

Language:

english

File:

PDF, 665 KB

english, 2013

17

REPRESENTATIONS OF AFFINE SUPERALGEBRAS AND MOCK THETA FUNCTIONS

KAC, VICTOR G., WAKIMOTO, MINORU

Journal:

Transformation Groups

Year:

2014

Language:

english

File:

PDF, 929 KB

english, 2014

18

REPRESENTATIONS OF QUANTUM GROUPS AT ROOTS OF 1: REDUCTION TO THE EXCEPTIONAL CASE

DE CONCINI, CORRADO, KAC, VICTOR G.

Journal:

International Journal of Modern Physics A

Year:

1992

Language:

english

File:

PDF, 370 KB

english, 1992

19

Lie Theory and Geometry || Total Positivity in Reductive Groups

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

Year:

1994

Language:

english

File:

PDF, 3.73 MB

english, 1994

20

Double Poisson vertex algebras and non-commutative Hamiltonian equations

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

Journal:

Advances in Mathematics

Year:

2015

Language:

english

File:

PDF, 945 KB

english, 2015

21

Quasifinite Representations of Classical Lie Subalgebras of W1+∞

Victor G Kac, Weiqiang Wang, Catherine H Yan

Journal:

Advances in Mathematics

Year:

1998

Language:

english

File:

PDF, 998 KB

english, 1998

22

Theory of Finite Pseudoalgebras

Bojko Bakalov, Alessandro D'Andrea, Victor G Kac

Journal:

Advances in Mathematics

Year:

2001

Language:

english

File:

PDF, 886 KB

english, 2001

23

Infinite-dimensional Lie algebras, theta functions and modular forms

Victor G Kač, Dale H Peterson

Journal:

Advances in Mathematics

Year:

1984

Language:

english

File:

PDF, 5.98 MB

english, 1984

24

Polar representations

Jiri Dadok, Victor Kac

Journal:

Journal of Algebra

Year:

1985

Language:

english

File:

PDF, 1.03 MB

english, 1985

25

Corrigendum to “Quantum reduction and representation theory of superconformal algebras’’: [Adv. Math. 185 (2004) 400–458]

Victor G. Kac, Minoru Wakimoto

Journal:

Advances in Mathematics

Year:

2005

Language:

english

File:

PDF, 138 KB

english, 2005

26

Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of -graded Lie algebras

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

Journal:

Advances in Mathematics

Year:

2006

Language:

english

File:

PDF, 425 KB

english, 2006

27

Infinite-dimensional primitive linearly compact Lie superalgebras

Nicoletta Cantarini, Victor G. Kac

Journal:

Advances in Mathematics

Year:

2006

Language:

english

File:

PDF, 816 KB

english, 2006

28

Differential conformal superalgebras and their forms

Victor Kac, Michael Lau, Arturo Pianzola

Journal:

Advances in Mathematics

Year:

2009

Language:

english

File:

PDF, 404 KB

english, 2009

29

On complete reducibility for infinite-dimensional Lie algebras

Maria Gorelik, Victor Kac

Journal:

Advances in Mathematics

Year:

2011

Language:

english

File:

PDF, 510 KB

english, 2011

30

Special issue in honour of Ernest Borisovich Vinberg

Victor Kac, Ruth Kellerhals, Friedrich Knop, Peter Littelmann, Dmitri Panyushev

Journal:

Journal of Algebra

Year:

2007

Language:

english

File:

PDF, 419 KB

english, 2007

31

Structure of some categories of representations of infinite-dimensional lie algebras

Vinay V. Deodhar, Ofer Gabber, Victor Kac

Journal:

Advances in Mathematics

Year:

1982

Language:

english

File:

PDF, 1.04 MB

english, 1982

32

On the classification of subalgebras of CendN and gcN

Carina Boyallian, Victor G Kac, Jose I Liberati

Journal:

Journal of Algebra

Year:

2003

Language:

english

File:

PDF, 261 KB

english, 2003

33

Representations of the exceptional lie superalgebraE(3, 6) I: Degeneracy conditions

Victor G. Kac, Alexei Rudakov

Journal:

Transformation Groups

Year:

2002

Language:

english

File:

PDF, 1.10 MB

english, 2002

34

with central chargeN

Edward Frenkel, Victor Kac, Andrey Radul, Weiqiang Wang

Journal:

Communications in Mathematical Physics

Year:

1995

Language:

english

File:

PDF, 1.08 MB

english, 1995

35

On Rationality ofW-algebras

Victor G. Kac, Minoru Wakimoto

Journal:

Transformation Groups

Year:

2008

Language:

english

File:

PDF, 713 KB

english, 2008

36

On classification of poisson vertex algebras

Alberto De Sole, Victor G. Kac, Minoru Wakimoto

Journal:

Transformation Groups

Year:

2010

Language:

english

File:

PDF, 487 KB

english, 2010

37

Classification of linearly compact simple algebraicN= 6 3-algebras

Nicoletta Cantarini, Victor G. Kac

Journal:

Transformation Groups

Year:

2011

Language:

english

File:

PDF, 487 KB

english, 2011

38

Classification of Simple Linearly Compactn-Lie Superalgebras

Nicoletta Cantarini, Victor G. Kac

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 310 KB

english, 2010

39

Affine Orbifolds and Rational Conformal Field Theory Extensions ofW1+∞

Victor G. Kac, Ivan T. Todorov

Journal:

Communications in Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 593 KB

english, 1997

40

Poisson vertex algebras in the theory of Hamiltonian equations

Aliaa Barakat, Alberto De Sole, Victor G. Kac

Journal:

Japanese Journal of Mathematics

Year:

2009

Language:

english

File:

PDF, 1.03 MB

english, 2009

41

On simplicity of vacuum modules

Maria Gorelik, Victor Kac

Journal:

Advances in Mathematics

Year:

2007

Language:

english

File:

PDF, 489 KB

english, 2007

42

Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting

Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi

Journal:

Advances in Mathematics

Year:

2008

Language:

english

File:

PDF, 701 KB

english, 2008

43

Representation theory of the vertex algebraW1+∞

Victor Kac, Andrey Radul

Journal:

Transformation Groups

Year:

1996

Language:

english

File:

PDF, 1.28 MB

english, 1996

44

Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type

Bojko Bakalov, Alessandro D’Andrea, Victor G. Kac

Journal:

Advances in Mathematics

Year:

2013

Language:

english

File:

PDF, 430 KB

english, 2013

45

Rational matrix pseudodifferential operators

Sylvain Carpentier, Alberto De Sole, Victor G. Kac

Journal:

Selecta Mathematica

Year:

2014

Language:

english

File:

PDF, 284 KB

english, 2014

46

The variational Poisson cohomology

Alberto De Sole, Victor G. Kac

Journal:

Japanese Journal of Mathematics

Year:

2013

Language:

english

File:

PDF, 1.14 MB

english, 2013

47

Modular Invariant Representations of Infinite-Dimensional Lie Algebras and Superalgebras

Victor G. Kac and Minoru Wakimoto

Journal:

Proceedings of the National Academy of Sciences

Year:

1988

Language:

english

File:

PDF, 729 KB

english, 1988

48

Lie Theory and Geometry ||

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

Year:

1994

Language:

english

File:

PDF, 53.64 MB

english, 1994

49

Extensions of Neveu–Schwarz conformal modules

Cheng, Shun-Jen, Kac, Victor G., Wakimoto, Minoru

Journal:

Journal of Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 488 KB

english, 2000

50

SIMPLE JORDAN CONFORMAL SUPERALGEBRAS

KAC, VICTOR G., RETAKH, ALEXANDER

Journal:

Journal of Algebra and Its Applications

Year:

2008

Language:

english

File:

PDF, 246 KB

english, 2008