A completion of the quantized enveloping algebra of a Kac-Moody algebra

DOI10.1006/jabr.1998.7677zbMath1042.17014OpenAlexW2023518665MaRDI QIDQ1283273

Anthony Joseph

Publication date: 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7677

zbMATH Keywords

quantized enveloping algebraKac-Moody algebracompletion of enveloping algebrasymmetrizable algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Universal enveloping algebras of Lie algebras (16S30)

Related Items (10)

Quantum zonal spherical functions and Macdonald polynomials ⋮ Quivers with relations arising from Koszul algebras of \(\mathfrak g\)-invariants ⋮ Unnamed Item ⋮ Littelmann's path crystal and combinatorics of certain integrable \(\widehat{\mathfrak{sl}_{\ell+1}}\) modules of level zero. ⋮ Differential forms via the Bernstein-Gelfand-Gelfand resolution for quantized irreducible flag manifolds ⋮ On an affine quantum KPRV determinant at \(q=1\) ⋮ A Chevalley-Kostant presentation of basic modules for \(\widetilde {{\mathfrak {sl}}(2)}\) and the associated affine KPRV determinants at \(q=1\) ⋮ On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. III: Computation of the KPRV determinants ⋮ Coproduct for Yangians of affine Kac-Moody algebras ⋮ Characters of bounded \(\widehat{\mathfrak{sl}}(2)\) modules.

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