Golod P. I.
Explicit realization of irreducible representations of classical compact lie groups in the spaces of sections of line bundles
Ukr. Mat. Zh. - 1998. - 50, № 10. - pp. 1316–1323
We use the Borel-Weil scheme for the construction of irreducible representations of compact Lie groups in the spaces of holomorphic sections of line bundles over homogeneous manifolds. We find the explicit form of the space of sections and construct an invariant scalar product. We show that the space of holomorphic sections locally satisfies the Zhelobenko indicator system.
Ukr. Mat. Zh. - 1979. - 31, № 4. - pp. 454–459
Ukr. Mat. Zh. - 1977. - 29, № 4. - pp. 513–519