The catalytic mechanism uses coupled aspartate and histidine residues to initiate the cyclization reaction by protonating at C3 and deprotonating at C29, proceeding through a discrete series of carbocation intermediates.
22.
When " p " = " q " + 1, the vertex algebras are unitary representations of Virasoro, and their modules are known as discrete series representations.
23.
At a more profound level, spinors have been found to be at the heart of approaches to the Atiyah Singer index theorem, and to provide constructions in particular for discrete series representations of semisimple groups.
24.
Of these, the two limit of discrete series representations, the discrete series representations, and the two families of principal series representations are tempered, while the trivial and complementary series representations are not tempered.
25.
Of these, the two limit of discrete series representations, the discrete series representations, and the two families of principal series representations are tempered, while the trivial and complementary series representations are not tempered.
26.
Notable accomplishments here include a proof of Langlands'conjecture on the discrete series, along with a later proof ( joint with Michael Atiyah ) constructing all such discrete series representations on spaces of harmonic spinors.
27.
Notable accomplishments here include a proof of Langlands'conjecture on the discrete series, along with a later proof ( joint with Michael Atiyah ) constructing all such discrete series representations on spaces of harmonic spinors.
28.
His main result was the proof of the Gelfand-Graev-Gvishiani formula for the characters of discrete series representations for the group of matrices with elements from a local non-Archimedean field ( 1973 74 ).
29.
Although in these representations the operator " L " 0 has positive spectrum the feature that distinguishes the holomorphic discrete series representations of SU ( 1, 1 ) the representations do not lie in the discrete series of the metaplectic group.
30.
Although in these representations the operator " L " 0 has positive spectrum the feature that distinguishes the holomorphic discrete series representations of SU ( 1, 1 ) the representations do not lie in the discrete series of the metaplectic group.
