A PBW basis for lusztig’s form of untwisted affine quantum groups

DOI10.1080/00927879908826468zbMath1014.17016arXivq-alg/9706018OpenAlexW3098435735MaRDI QIDQ4237126

Fabio Gavarini

Publication date: 5 May 1999

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

Full work available at URL: https://arxiv.org/abs/q-alg/9706018

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items

Evaluation representations of quantum affine algebras at roots of unity, Quantizations of Kac-Moody algebras., An imaginary PBW basis for quantum affine algebras of type 1, Quantum loop groups and shuffle algebras via Lyndon words, PBW-bases of coideal subalgebras and a freeness theorem, Witt vectors. Part 1, Quivers and Representations, Imaginary Verma modules and Kashiwara algebras for \(U_q(\hat{\mathfrak{g}})\), The \(R\)-matrix action of untwisted affine quantum groups at roots of 1

Cites Work

• Unnamed Item
• Unnamed Item
• Quantum groups at roots of 1
• Infinite dimensional Lie algebras. An introduction
• The arithmetic theory of loop algebras
• Braid group action and quantum affine algebras
• Convex bases of PBW type for quantum affine algebras
• The highest coefficient of \(\text{det}H_ \eta\) and the center of the specialization at odd roots of unity for untwisted affine quantum algebras
• KILLING FORMS, HARISH-CHANDRA ISOMORPHISMS, AND UNIVERSAL R-MATRICES FOR QUANTUM ALGEBRAS
• Finite-dimensional representations of quantum affine algebras at roots of unity