Capelli Identities for Classical Lie Algebras
classification
q-alg
math.QA
keywords
algebrascapelliclassicalidentitiestheoryalgebracomesdual
read the original abstract
We extend the Capelli identities (1890) from the Lie algebra $gl_N$ to the other two classical Lie algebras $so_N$ and $sp_N$. We employ the theory of reductive dual pairs due to Howe. Our technique comes from the representation theory of Yangians.
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