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Howe duality in the toroidal setting.

Authors :
Chen, Fulin
Huang, Xin
Tan, Shaobin
Source :
Journal of Algebra. Feb2024, Vol. 639, p23-59. 37p.
Publication Year :
2024

Abstract

In this paper, we construct and study various dual pairs acting on the oscillator modules of the symplectic toroidal Lie algebras coordinated by irrational quantum tori. This extends the classical Howe dual pairs to the toroidal setup. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*LIE algebras
*TORUS

Details

Language :
English
ISSN :
00218693
Volume :
639
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
173858070
Full Text :
https://doi.org/10.1016/j.jalgebra.2023.10.011