Professor Bhanushankar Verma

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Shekhar Verma

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Semi–holonomic Verma Modules

Verma modules arise geometrically through the jets of homogeneous vector bundles. We consider in this article, the modules that arise from the semi-holonomic jets of a homogeneous vector bundle. We are particularly concerned with the case of a sphere under MMbius transformations. In this case there are immediate applications in the theory of conformally invariant diierential operators.

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Twisted Verma modules

Using principal series Harish-Chandra modules, local cohomology with support in Schubert cells and twisting functors we construct certain modules parametrized by the Weyl group and a highest weight in the subcategory O of the category of representations of a complex semisimple Lie algebra. These are in a sense modules between a Verma module and its dual. We prove that the three different approa...

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ژورنال

عنوان ژورنال: Indian Journal of Dermatology, Venereology and Leprology

سال: 2020

ISSN: 0378-6323

DOI: 10.4103/ijdvl.ijdvl_451_20