Capelli Identities for Classical Lie Algebras
q-alg
2007-05-23 v3 Quantum Algebra
Abstract
We extend the Capelli identities (1890) from the Lie algebra to the other two classical Lie algebras and . We employ the theory of reductive dual pairs due to Howe. Our technique comes from the representation theory of Yangians.
Keywords
Cite
@article{arxiv.q-alg/9712021,
title = {Capelli Identities for Classical Lie Algebras},
author = {Alexander Molev and Maxim Nazarov},
journal= {arXiv preprint arXiv:q-alg/9712021},
year = {2007}
}
Comments
34 pages, AmS-TeX, the final version