A note on the Capelli identities for symmetric pairs of Hermitian type
2008
We get several identities of differential operators in determinantal form. These identities are non-commutative versions of the formula of Cauchy-Binet or Laplace expansions of determinants, and if we take principal symbols, they are reduced to such classical formulas. These identities are naturally arising from the generators of the rings of invariant differential operators over symmetric spaces, and have strong resemblance to the classical Capelli identities. Thus we call those identities the Capelli identities for symmetric pairs.
Keywords:
- Correction
- Cite
- Save
- Machine Reading By IdeaReader
11
References
0
Citations
NaN
KQI