5 citations · 9 across the 13 of their papers we have counts for
14 papers
Symmetric spaces and skew multiplicity free representations
Kieran Calvert, Kyo Nishiyama, Pavle Pandžić
Let be a non-compact connected reductive real Lie group and its parabolic subgroup. We give a list of equivalent conditions for to have an abelian unipotent radic…
Characterisations of strong -matroids
Kieran Calvert, Aram Dermenjian, Alex Fink +1
We study characterisations of strong -matroids, compiling a list of five equivalent descriptions. We show a variant of Wenzel's exchange property and the hyperplane exchange pro…
Quadratic exchange equations for Coxeter matroids
Kieran Calvert, Aram Dermenjian, Alex Fink +1
Tropicalisation (with trivial coefficients) is a process that turns a polynomial equation into a combinatorial predicate on subsets of the set of variables. We show that for each m…
On angular momentum algebras and their relations
Kieran Calvert, Marcelo De Martino, Roy Oste
In this paper, we study the centraliser of , denoted the total angular momentum algebra (TAMA), in the Weyl Clifford algebra. The TAMA extends the angular mome…
Clifford algebra analogue of Cartan's theorem for symmetric pairs
Kieran Calvert, Karmen Grizelj, Andrey Krutov +1
We extend Kostant's results about -invariants in the Clifford algebra of a complex semisimple Lie algebra to the relative case of $\…
Clifford algebras and Littlewood-Richardson coefficients
Kieran Calvert, Karmen Grizelj, Andrey Krutov +1
We show how to use Clifford algebra techniques to describe the de Rham cohomology ring of equal rank compact symmetric spaces . In particular, for …