P. Paul

activity

20122023

collaborators

3 papers

math.RT2023

Borel-de Siebenthal Positive Root Systems

Pampa Paul

Let $G$ be a connected simple Lie group with finite centre, $K$ be a maximal compact subgroup of $G,$ and rank $(G) =$ rank $(K) .$ Let $g_{0} =$ Lie $(G), k_{0} =$ Lie$(K) \subse…

math.RT2019

Geometric cycles in compact Riemannian locally symmetric spaces of type IV and automorphic representations of complex simple Lie groups

Pampa Paul

Let G be a connected complex simple Lie group with maximal compact subgroup U. Let g be the Lie algebra of G, and X = G/U be the associated Riemannian globally symmetric space of t…

math.RT2012

Borel-de Siebenthal discrete series and associated holomorphic discrete series

Pampa Paul, K. N. Raghavan, Parameswaran Sankaran

Let G_0 be a simply connected noncompact real simple Lie group with maximal compact subgroup K_0. Assume that rank(G_0) = rank(K_0) so that G_0 has discrete series representations.…