Representations of affine lie algebras, hecke modular forms and korteweg—De vries type equations

[1]  James Lepowsky,et al.  A lie theoretic interpretation and proof of the Rogers-Ramanujan identities , 1982 .

[2]  M. Jimbo,et al.  TRANSFORMATION GROUPS FOR SOLITON EQUATIONS , 1982 .

[3]  I. Frenkel.  Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory , 1981 .

[4]  J. Lepowsky,et al.  A new family of algebras underlying the Rogers-Ramanujan identities and generalizations. , 1981, Proceedings of the National Academy of Sciences of the United States of America.

[5]  V. Kac,et al.  Realization of the basic representations of the Euclidean Lie algebras , 1981 .

[6]  V. Kac,et al.  Spin and wedge representations of infinite-dimensional Lie algebras and groups. , 1981, Proceedings of the National Academy of Sciences of the United States of America.

[7]  G. Segal.  Unitary representations of some infinite dimensional groups , 1981 .

[8]  V. Kac,et al.  Affine Lie algebras and Hecke modular forms , 1980 .

[9]  I. Frenkel,et al.  Spinor representations of affine Lie algebras. , 1980, Proceedings of the National Academy of Sciences of the United States of America.

[10]  V. Kac.  An elucidation of "Infinite dimensional algebras. . .and the very strange formula , 1980 .

[11]  James Lepowsky,et al.  Application of the numerator formula to k-rowed plane partitions , 1980 .

[12]  V. Kac,et al.  Basic representations of affine Lie algebras and dual resonance models , 1980 .

[13]  V. Kac.  Contravariant form for infinite-dimensional Lie algebras and superalgebras , 1979 .

[14]  H. McKean.  Integrable systems and algebraic curves , 1979 .

[15]  V. Kac.  Infinite-dimensional algebras, Dedekind's η-function, classical möbius function and the very strange formula , 1978 .

[16]  J. Lepowsky,et al.  The Weyl-Kac character formula and power series identities , 1978 .

[17]  J. Lepowsky,et al.  Construction of the affine Lie algebraA1(1) , 1978 .

[18]  R. Hirota.  Direct Methods in Soliton Theory (非線形現象の取扱いとその物理的課題に関する研究会報告) , 1976 .

[19]  F. Smithies.  Infinite-Dimensional Algebras , 1961, Nature.