Capelli type identities on certain scalar generalized Verma modules, II Dedicated to Professor Ryoshi Hotta on his sixtieth birthday

Akihito WACHI

doi:10.2969/jmsj/1191418639

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Capelli type identities on certain scalar generalized Verma modules, II

Dedicated to Professor Ryoshi Hotta on his sixtieth birthday

Akihito WACHI

著者情報

キーワード: generalized Verma modules, Hermitian symmetric type, Capelli identity, Turnbull identity

ジャーナルフリー

2004 年 56 巻 2 号 p. 447-473

DOI https://doi.org/10.2969/jmsj/1191418639

詳細

抄録

In the preceding paper we gave an analogue of the Capelli identity for relative invariants in Hermitian symmetric settings, and the analogue was constructed on scalar generalized Verma modules. In this paper we give an analogue of the Capelli identity of lower degrees. This analogue contains non-principal minors in contrast with the original Capelli identity.