Root Multiplicities of the Indefinite Kac–Moody Algebras of Symplectic Type

DOI10.1080/00927870701724367zbMath1132.17014OpenAlexW1990469346MaRDI QIDQ5456524

Vicky W. Klima, Kailash C. Misra

Publication date: 8 April 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701724367

zbMATH Keywords

Kac-Moody algebrascrystal basesroot multiplicities

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (3)

Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms ⋮ Root Multiplicities of the Indefinite Kac–Moody AlgebraHD_n⁽¹⁾ ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Perfect crystals of quantum affine Lie algebras
• Root multiplicities of the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\)
• The crystal base and Littelmann's refined Demazure character formula
• Root multiplicities of Kac-Moody algebras
• Root multiplicities of the Kac-Moody algebras \(HA_ n^{(1)}\)
• Graded Lie algebras of Kac-Moody type
• Crystalizing the q-analogue of universal enveloping algebras
• AFFINE CRYSTALS AND VERTEX MODELS
• ROOT MULTIPLICITIES OF THE INDEFINITE KAC-MOODY LIE ALGEBRAS AND
• ON ROOT MULTIPLICITIES OF $H A_n^{(1)}$

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