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Cover image for book Infinite Dimensional Lie Algebras And Groups

Infinite Dimensional Lie Algebras And Groups

By:Victor G. Kac
Publisher:World Scientific Publishing
Print ISBN:9789971509286
eText ISBN:9789812798343
Edition:3
Copyright:1989
Format:Page Fidelity

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Contents:

  • Integrable Representation of Kac-Moody Algebras: Results and Open Problems (V Chari & A Pressley)
  • Existence of Certain Components in the Tensor Product of Two Integrable Highest Weight
  • Modules for Kac-Moody Algebras (SKumar)
  • Frobenius Action on the B-Cohomology (O Mathieu)
  • Certain Rank Two Subsystems of Kac-Moody Root Systems (J Morita)
  • Lie Groups Associated to Kac-Moody Lie Algebras: An Analytic Approach (E Rodriguez-Carrington)
  • Almost Split-K-Forms of Kac-Moody Algebras (G Rousseau)
  • Global Representations of the Diffeomorphism Groups of the Circle (F Bien)
  • Path Space Realization of the Basic Representation of An(1) (E Date et al)
  • Boson-Fermion Correspondence Over (C De Concini et al)
  • Classification of Modular Invariant Representations of Affine Algebras (V G Kac & M Wakimoto)
  • Standard Monomial Theory for SL2 (V Lakshmibai & C S Seshadri)
  • Some Results on Modular Invariant Representations (S Lu)
  • Current Algebras in 3+1 Space-Time Dimensions (J Mickelson)
  • Standard Representations of An(1) (M Primc)
  • Representations of the Algebra Uq(sI(2)), q-Orthogonal Polynomials and Invariants of Links (A N Kirillov & N Yu Reshetikhin)
  • Infinite Super Grassmannians and Super Plücker Equations (M J Bergvelt)
  • Drinfeld-Sokolov Hierarchies and t-Functions (H J Imbens)
  • Super Boson-Fermion Correspondence of Type B (V G Kac & J W van de Leur)
  • Prym Varieties and Soliton Equations (T Shiota)
  • Polynomial Solutions of the BKP Hierarchy and Projective Representations of Symmetric Groups (Y You)
  • Toward Generalized Macdonald's Identities (D Bernard)
  • Conformal Theories with Non-Linearly Extended Virasoro Symmetries and Lie Algebra Classification (A Bilal & J-LGervais)
  • Extended Conformal Algebras from Kac-Moody Algebras (P Bouwknegt)
  • Meromorphic Conformal Field Theory (P Goddard)
  • Local Extensions of the U(1) Current Algebra and Their Positive Energy Representations (R R Paunov & I T Todorov)
  • Conformal Field Theory on Moduli Family of Stable Curves with Gauge Symmetries (A Tsuchiya & Y Yamada)

Readership: Mathematicians and mathematical physicists

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