In this paper, we consider the unitary representations of equal rank exceptional groups of type E with a regular lambda-lowest K-type and classify those unitary representations with the nonzero Dirac cohomology.
ⅠConcerning the Clifford theorem with the stability of vector bundles, Arrondo-Sols proposed the following conjecture.Arrondo-Sols’Conjecture. Let E be a rank two vector bundle of degree d on a smooth complex algebr...ⅠConcerning the Clifford theorem with the stability of vector bundles, Arrondo-Sols proposed the following conjecture.Arrondo-Sols’Conjecture. Let E be a rank two vector bundle of degree d on a smooth complex algebraic curve of genus g, -e be the minimal self-intersection number of a unisecant curve in the ruled surface p(E), and r+ 1 =h^0(E). If -e≤d≤4g-4+e and E≠L⊕L,展开更多
基金This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 10501025 and 10431040)
文摘In this paper, we consider the unitary representations of equal rank exceptional groups of type E with a regular lambda-lowest K-type and classify those unitary representations with the nonzero Dirac cohomology.
基金Project partly supported by the National Natural Science Foundation of China and the Institute of Mathematics, Academia Sinica.
文摘ⅠConcerning the Clifford theorem with the stability of vector bundles, Arrondo-Sols proposed the following conjecture.Arrondo-Sols’Conjecture. Let E be a rank two vector bundle of degree d on a smooth complex algebraic curve of genus g, -e be the minimal self-intersection number of a unisecant curve in the ruled surface p(E), and r+ 1 =h^0(E). If -e≤d≤4g-4+e and E≠L⊕L,
