AFFINE LIE ALGEBRA REPRESENTATIONS INDUCED FROM WHITTAKER MODULES

Cardoso，Maria Clara1; Futorny，Vyacheslav2,3

2023-03-01

10.1090/proc/16209

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY   影响因子和分区

0002-9939

1088-6826

We use induction from parabolic subalgebras with infinite-dimensional Levi factor to construct new families of irreducible representations for arbitrary affine Kac-Moody algebras. Our first construction defines a functor from the category of Whittaker modules over the Levi factor of a parabolic subalgebra to the category of modules over the affine Lie algebra. The second functor sends tensor products of a module over the affine part of the Levi factor (in particular any weight module) and of a Whittaker module over the complement Heisenberg subalgebra to the affine Lie algebra modules. Both functors preserve irreducibility when the central charge is nonzero.

SCI

英语

其他

Fapesp["2019/24494-9","2018/23690-6"] ; CNPq[304467/2017-0]

Mathematics

Mathematics, Applied ; Mathematics

WOS:000977189100011

AMER MATHEMATICAL SOC

MATHEMATICS

2-s2.0-85146479891

Scopus

1.Instituto de Matemática e Estatística,Universidade de São Paulo,Sao Paulo,Brazil
2.SUSTech,Shenzhen,China
3.University of São Paulo,São Paulo,Brazil

Cardoso，Maria Clara,Futorny，Vyacheslav. AFFINE LIE ALGEBRA REPRESENTATIONS INDUCED FROM WHITTAKER MODULES[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2023,151(3):1041-1053.

Cardoso，Maria Clara,&Futorny，Vyacheslav.(2023).AFFINE LIE ALGEBRA REPRESENTATIONS INDUCED FROM WHITTAKER MODULES.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,151(3),1041-1053.

Cardoso，Maria Clara,et al."AFFINE LIE ALGEBRA REPRESENTATIONS INDUCED FROM WHITTAKER MODULES".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 151.3(2023):1041-1053.