A construction of representations of loop group and affine Lie algebra of \(\mathfrak{sl}_n \)

DOI10.1007/s10468-021-10039-9OpenAlexW3136829591MaRDI QIDQ2139541

Xuanzhong Dai, Yong-Chang Zhu

Publication date: 18 May 2022

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02625

zbMATH Keywords

affine Lie algebrasloop groupsWhittaker functionals

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) Loop groups and related constructions, group-theoretic treatment (22E67)

Cites Work

• Unnamed Item
• On polylogarithms, Hurwitz zeta functions, and the Kubert identities
• Whittaker modules for the affine Lie algebra \(A_1^{(1)}\)
• Theta functions and Weil representations of loop symplectic groups
• Classical affine algebras
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• On the continuous series for \(\widehat{sl(2,\mathbb R)}\)
• Zeta functions of simple algebras
• Spin and wedge representations of infinite-dimensional Lie algebras and groups
• A Bruhat decomposition for the loop space of a compact group: A new approach to results of Bott

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