4 papers · 1 filter
Uniqueness of Branching through regular unipotent elements
Santosh Nadimpalli, Santosha Pattanayak
Let \(\mathrm G\) be a complex simple algebraic group and let \(\mathrm G_0\subset \mathrm G\) be a closed connected subgroup containing a regular unipotent element of \(\mathrm G\…
Character theory at a torsion element
Santosh Nadimpalli, Santosha Pattanayak, Dipendra Prasad
The paper relates character value of an irreducible representation of a compact connected Lie group at certain elements of finite order with the dimension of a representation on an…
Mixed tensor invariants of Lie color algebra
Santosha Pattanayak, Preena Samuel
In this paper, we consider the mixed tensor space of a -graded vector space where is a finite abelian group. We obtain a spanning set of invariants of the associated symmetr…
On tensor products of representations of Lie superalgebras
Abhishek Das, Santosha Pattanayak
We consider typical finite dimensional complex irreducible representations of a basic classical simple Lie superalgebra, and give a sufficient condition on when unique factorizatio…