文摘
The representation theory of symmetric Lie superalgebras and corresponding spherical functions are studied in relation with the theory of the deformed quantum Calogero–Moser systems. In the special case of symmetric pair f697c02bfe16cbfe81ce3318bbe01" title="Click to view the MathML source">g=gl(n,2m),k=osp(n,2m) we establish a natural bijection between projective covers of spherically typical irreducible 200d3b0fcc5b119e5bf3cc62b" title="Click to view the MathML source">g-modules and the finite dimensional generalised eigenspaces of the algebra of Calogero–Moser integrals Dn,m acting on the corresponding Laurent quasi-invariants An,m.