Dual pairs, spherical harmonics and a Capelli identity in quantum group theory

Compositio Mathematica

Volumn 104, Issue 3, 1996, Pages 227-277

  Noumi, Masatoshi ^a  

^a KOBE UNIVERSITY   (Japan)

Author keywords

Capelli identity; Casimir element; Double commutant theorem; Dual pair; Invariant theory; Oscillator representation; Quantum group; Quantum spherical harmonics; Reflection equation

Indexed keywords

EID: 0000150906     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (3)

1. [Ab] Abe, E.: Hopf Algebras, Cambridge Math. Tracts 74, Cambridge Univ. Press, 1980.
2. [B] Bergman, G. M.: The diamond lemma for ring theory, Adv. Math. 29 (1978) 178-218.
3. Drinfel'd, V. G.: Quantum groups, in Proc. Int. Cong. Math. Berkeley, 1986, pp. 798-820.