The Howe duality and Lie superalgebras
Representation Theory
2007-05-23 v1
Abstract
Howe's duality is considered from a unifying point of view based on Lie superalgebras. New examples are offered. In particular, we construct several simplest spinor-oscillator representations and compute their highest weights for the 'stringy' Lie superalgebras (i.e., Lie superalgebras of complex vector fields (or their nontrivial central extensions) on the supercircle and its two-sheeted cover associated with the M\"obius bundle).
Cite
@article{arxiv.math/0202181,
title = {The Howe duality and Lie superalgebras},
author = {Dimitry Leites and Irina Shchepochkina},
journal= {arXiv preprint arXiv:math/0202181},
year = {2007}
}
Comments
27 p., Latex