Principal vertex operator representations for toroidal Lie algebras

Yuly Billig

doi:10.1063/1.532472

Principal vertex operator representations for toroidal Lie algebras

Journal of Mathematical Physics ◽

10.1063/1.532472 ◽

1998 ◽

Vol 39 (7) ◽

pp. 3844-3864 ◽

Cited By ~ 24

Author(s):

Yuly Billig

Keyword(s):

Lie Algebras ◽

Vertex Operator ◽

Operator Representations

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New integrable hierarchies from vertex operator representations of polynomial Lie algebras

Journal of Geometry and Physics ◽

10.1016/j.geomphys.2005.02.010 ◽

2006 ◽

Vol 56 (3) ◽

pp. 418-449 ◽

Cited By ~ 26

Author(s):

Paolo Casati ◽

Giovanni Ortenzi

Keyword(s):

Lie Algebras ◽

Vertex Operator ◽

Integrable Hierarchies ◽

Operator Representations

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Twisted Γ-Lie algebras and their vertex operator representations

Journal of Algebra ◽

10.1016/j.jalgebra.2014.11.009 ◽

2015 ◽

Vol 442 ◽

pp. 202-232

Author(s):

Fulin Chen ◽

Shaobin Tan ◽

Qing Wang

Keyword(s):

Lie Algebras ◽

Vertex Operator ◽

Operator Representations

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Vertex operator representations for a class of 𝐵𝐶ᵥ-graded Lie algebras

Fifth International Congress of Chinese Mathematicians - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/051.1/23 ◽

2012 ◽

pp. 315-326

Keyword(s):

Lie Algebras ◽

Vertex Operator ◽

Graded Lie Algebras ◽

Operator Representations

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Affine Lie algebras and vertex operator algebras

Generalized Vertex Algebras and Relative Vertex Operators ◽

10.1007/978-1-4612-0353-7_13 ◽

1993 ◽

pp. 141-160

Author(s):

Chongying Dong ◽

James Lepowsky

Keyword(s):

Lie Algebras ◽

Vertex Operator ◽

Operator Algebras ◽

Vertex Operator Algebras ◽

Affine Lie Algebras

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ℤ-Graded Trigonometric Lie subalgebras in $$\hat A_\infty ,\hat B_\infty ,\hat C_\infty $$ , and $$\hat D_\infty $$ and their vertex operator representationsand their vertex operator representations

Functional Analysis and Its Applications ◽

10.1007/bf01768663 ◽

1993 ◽

Vol 27 (1) ◽

pp. 10-20 ◽

Cited By ~ 2

Author(s):

M. I. Golenishcheva-Kutuzova ◽

D. R. Lebedev

Keyword(s):

Vertex Operator ◽

Operator Representations

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Vertex operator algebras and representations of affine Lie algebras

Acta Applicandae Mathematicae ◽

10.1007/bf00116522 ◽

1996 ◽

Vol 44 (1-2) ◽

pp. 207-215 ◽

Cited By ~ 17

Author(s):

Arne Meurman ◽

Mirko Primc

Keyword(s):

Lie Algebras ◽

Vertex Operator ◽

Operator Algebras ◽

Vertex Operator Algebras ◽

Affine Lie Algebras

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Vertex operator representation of some quantum tori Lie algebras

Communications in Mathematical Physics ◽

10.1007/bf02100868 ◽

1992 ◽

Vol 148 (2) ◽

pp. 403-416 ◽

Cited By ~ 22

Author(s):

M. Golenishcheva-Kutuzova ◽

D. Lebedev

Keyword(s):

Lie Algebras ◽

Vertex Operator ◽

Operator Representation ◽

Quantum Tori ◽

Vertex Operator Representation

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Bosonization of Bosons in Vertex Operator Representations of Affine Kac-Moody Algebras

Progress of Theoretical Physics ◽

10.1143/ptp/84.2.351 ◽

1990 ◽

Vol 84 (2) ◽

pp. 351-359

Author(s):

M. Sakamoto

Keyword(s):

Vertex Operator ◽

Operator Representations

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TKK algebras and vertex operator representations

Journal of Algebra ◽

10.1006/jabr.1998.7604 ◽

1999 ◽

Vol 211 (1) ◽

pp. 298-342 ◽

Cited By ~ 18

Author(s):

Shaobin Tan

Keyword(s):

Vertex Operator ◽

Operator Representations

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Vertex operator representations of the quantum affine algebra U q(B r (1) )

Letters in Mathematical Physics ◽

10.1007/bf00401590 ◽

1989 ◽

Vol 17 (3) ◽

pp. 239-245 ◽

Cited By ~ 39

Author(s):

Denis Bernard

Keyword(s):

Vertex Operator ◽

Quantum Affine Algebra ◽

Affine Algebra ◽

Operator Representations

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