Pampa Paul

collaborators

3 papers

math.RT2025

Special cycles in compact locally Hermitian symmetric spaces of type III associated with the Lie group $S O_{0} (2, m)$

Ankita Pal, Pampa Paul

Let $G = S O_{0} (2, m),$ the connected component of the Lie group $S O (2, m); K = S O (2) \times S O (m),$ a maximal compact subgroup of $G;$ and $θ$ be the associated Cartan involution of…

math.RT2025

Irreducible unitary representations with non-zero relative Lie algebra cohomology of a Lie group of type f4(4)

Pampa Paul

In this article, we have determined the irreducible unitary representations with non-zero relative Lie algebra cohomology and Poincare polynomials of cohomologies of these represen…

math.RT2023

Irreducible unitary representations with non-zero relative Lie algebra cohomology of the Lie group $S O_{0} (2, m)$

Ankita Pal, Pampa Paul

By a theorem of D. Wigner, an irreducible unitary representation with non-zero $(g, K)$ -cohomology has trivial infinitesimal character, and hence up to unitary equivalence, t…

Special cycles in compact locally Hermitian symmetric spaces of type III associated with the Lie group SO0​(2,m)

Irreducible unitary representations with non-zero relative Lie algebra cohomology of a Lie group of type f4(4)

Irreducible unitary representations with non-zero relative Lie algebra cohomology of the Lie group SO0​(2,m)

Special cycles in compact locally Hermitian symmetric spaces of type III associated with the Lie group $S O_{0} (2, m)$

Irreducible unitary representations with non-zero relative Lie algebra cohomology of the Lie group $S O_{0} (2, m)$